Publikacje naukowe (PUBLICATIONS):
Książki (BOOKS)
Romanowska, A. B.; Smith,
J. D. H. Modal theory: an algebraic approach to order, geometry, and convexity.
R & E Research and Exposition in Mathematics, 9. Heldermann Verlag, Berlin, 1985. xii+158 pp. ISBN: 3-88538-209-1. [08-02 (06A12
20N15)]
Errata: http://www.math.iastate.edu/jdhsmith/math/MTerrata.pdf
Smith, Jonathan D. H.;
Romanowska, Anna B. Post-modern algebra. Pure and Applied Mathematics. A
Wiley-Interscience Publication. John Wiley & Sons, Inc., New York, 1999.
xii+370 pp. ISBN: 0-471-12738-8 .[00A05 (08-01 18-01 20-01)]
Errata: http://www.math.iastate.edu/jdhsmith/math/PMArrata.pdf
Romanowska, Anna B., Smith
Jonathan, D. H., Modes, World Scientific, Singapore, 2002, ix+623 pp. ISBN: 981-02-4942-X
Errata: http://www.math.iastate.edu/jdhsmith/math/MODErata.pdf
Section 5.1 “Algebraic
language and harmony” in the monograph: J. Haluška, The Mathematical Theory of Tone
System, Marcel Dekker, Inc., Ister Science Ltd., New York, Basel, Bratislava,
2003, pp. 75-86.
Praca redakcyjna (EDITORIAL WORK)
Demonstratio Math. Vol XXIV
, No 1-2, (1991) (Papers from the Conference on Universal Algebra, Quasigroups
and Related Systems, Jadwisin, 1989). Edited by A. Romanowska and Z. Lonc.
Demonstratio Math. Vol.
XXVII , No 3-4, (1994) (Volume dedicated to Professor Tadeusz Traczyk). Edited
by A. Romanowska.
Universal algebra and
quasigroup theory. Papers from the Conference on Universal Algebra, Quasigroups
and Related Systems held in Jadwisin, May 23--28, 1989. Edited by A. Romanowska
and J. D. H. Smith. Research and Exposition in Mathematics, 19. Heldermann Verlag, Berlin, 1992. viii+239
pp. ISBN: 3-88538-219-9
[08-06 (00B25 20-06)]
Modes, modals, related
structures and applications. Papers from the meeting held in Warsaw, March
10--21, 1997. Edited by K. Glazek, A. Romanowska and J. D. H. Smith. Discuss.
Math. Algebra Stochastic Methods {19} (1999), no. 1. Technical University
Press, Zielona Gora, 1999. pp. 1--263. [00B25 (08-06)]
Provinces
of logic determined. Essays in the memory of Alfred Tarski. Part I, II, III.
Edited by Zofia Adamowicz, Ssergei Artemov, Damian Niwiński,
Ewa Orłowska, Anna Romanowska and Jan Woleński, Ann. Pure Appl. Logic 126 (2004), no. 1 – 3, pp. v-viii and 1 – 348.
Provinces
of logic determined. Essays in the memory of Alfred Tarski. Part IV, V, VI.
Edited by Zofia Adamowicz, Ssergei Artemov, Damian Niwiński,
Ewa Orłowska, Anna Romanowska and Jan Woleński, Ann. Pure Appl. Logic 127 (2004), no. 1 – 3, pp. v-viii and 1 – 360.
Artykuły opublikowane po roku 1995
(PAPERS after 1995)
[80] Pilitowska, A.,
Romanowska, A., Stanovsky, D., Varietes of differential modes embeddable into
semimodules, International Journal of Algebra and Computation, to appear.
[79] Romanowska, A., Smith,
J. D. H., Barycentric algebra and gene expression. Fuzzy Logic and Applications
(Palermo, 2009), Lecture Notes in Artificial Intelligence 5571, pp. 20 -- 27.
[78] Kravchenko, A.,
Pilitowska, A., Romanowska, A. Stanovsky, D., Differential modes, International
Journal of Algebra and Computation 18 (2008), 567 – 588 (available online at http://www.worldscinet.com/ijac/18/1803/S02181967081803.html ).
[77] Ślusarski, P.,
Romanowska, A., Smith, J. D. H., Duality for convex polytopes, Journal of
Australian Mathematical Society, to
appear.
[76] Romanowska, A. B., Smith, J. D. H., Orłowska, E., Abstract barycentric algebras,
Fundamenta Informaticae 81 (2007), 257 -- 273.
[75] Bińczak, G., Romanowska, A.,
Smith, J. D. H., Poset extensions, convex sets, and
semilattice
presentations, Discrete Mathematics 307 (2007), 1 -- 11 (available
online at www.sciencedirect.com).
[74] Movsisyan, Yu. M., Romanowska, A. B., Smith, J. D. H.,
Superproducts, hyperidentities, and algebraic structures of logic
programming, Journal of Combinatorial
Mathematics and Combinatorial Computing 58
(2006), 101 -- 111.
[73] Romanowska, A. B., Smith, J. D. H., Duality for central piques,
Quasigroups and Related Systems, 14 (2006), 81 -- 89.
[72] Romanowska,
Anna, Semi-affine modes and modals, Scientiae Mathematicae Japonicae 61 (2005),
159 -- 194.
[71]
Matczak, K., Romanowska, A., Irregular Quasivarieties of commutative binary
modes,
International
Journal of Algebra and Computation 15 (2005), 699 -- 15.
[70] Romanowska, Anna,
Zamojska-Dzienio, Anna, Embedding sums of cancellative modes into semimodules,
Czechoslovak Math. J. 47 (2005), 975 -- 991.
[69] Matczak, Katarzyna,
Romanowska, Anna, Quasivarieties of cancellative commutative binary modes,
Studia Logica 78 (2004), 321--335 . (http://dx.doi.org/10.1007/s11225-005-1335-6
)
[68] Pszczoła, K. J.,
Romanowska, A. B., Smith, J. D. H., Duality for quadrilaterals, Contributions
to General Algebra 14 (2004), 127 -- 134. (http://win.algebra.tuwien.ac.at/algebra/proc14/Pszczola-Romanowska-Smith-9d7fdf86
)
[67] Pszczoła, K. J., Romanowska,
A. B., Smith, J. D. H., Duality for some free modes, Discuss. Math. General
Algebra and Applications 23 (2003), 45 -- 62.
[66] Romanowska , Anna,
Algebraic language in the theory of harmony, Tatra Mt. Math. Publ. 23(2001),
1--11.
[65] Romanowska, Anna,
Smith, J. D. H., Embedding sums of cancellative modes into functorial sums of
affine spaces, in Unsolved Problems on Mathematics for the 21st
Century, A Tribute to Kiyoshi Iseki's 80th Birthday (J. M. Abe and
S. Tanaka, eds.), IDS Press, 2001 , pp. 127—139.
[64] Romanowska, Anna,
Zamojska-Dzienio, Anna, Embedding semilattice sums of cancellative modes into
semimodules, Contributions to General Algebra 13(2001), 295--303.
[63] Romanowska, Anna,
Notes on sums of algebras, subdirect products and subdirectly irreducible
algebras, Algebra Universalis 46(2001), 321--341.
[62] Romanowska, Anna,
Barycentric algebras, in General Algebra and Applications (K. Denecke and H. J.
Vogel, eds.), Shaker Verlag, 2000, pp. 167--181.
[61] Romanowska, Anna, On
reductive and distributive algebras.Comment. Math. Univ. Carolin. 40 (1999),
no. 4, 617--629.[08A05 (08C15)]
[60] Romanowska, Anna,
Traina, Shaban, Algebraic quasi-orders and sums of algebras. In: Modes, modals,
related structures and applications (Warsaw, 1997). Discuss. Math. Algebra
Stochastic Methods 19 (1999), no. 1, 239--263.[08A05 (08C15)]
[59] Romanowska, Anna, Sums
of algebras, subdirect products and subdirectly irreducible algebras.
Contributions to General Algebra, 11 (Olomouc Karlovice, 1998), 181--190, Heyn,
Klagenfurt, 1999.[08B26]
[58] Pilitowska, Agata,
Romanowska, Anna, Reductive modes. Period. Math. Hungar. 36 (1998), no. 1,
67--78.[08A05 (03C05 08B05 08B25 08C15)]
[57] Romanowska, Anna, From
dissemilattices to snack algebras. Fund. Inform. 31 (1997), no. 1, 65--77.
[68P15 (06A12)]
[56] Romanowska, A. B.,
Smith, J. D. H. Duality for semilattice representations. J. Pure Appl. Algebra
115 (1997), no. 3, 289--308.[18A25 (03B70 18F20 43A40)]
[55] Pilitowska, Agata;
Romanowska, Anna; Roszkowska-Lech, Barbara, Products of mode varieties and
algebras of subalgebras. Math. Slovaca 46 (1996), no. 5, 497--514.[08A30 (03C05
08A05 20N02)]
[54] Bergman, C.;
Romanowska, A., Subquasivarieties of regularized varieties. Algebra Universalis
36 (1996), no. 4, 536--563. [08C15]
[53] Romanowska, A. B.;
Smith, J. D. H., Semilattice-based dualities. Special issue on Priestley
duality. Studia Logica 56 (1996), no. 1-2, 225--261. [08C05 (06A12 18A99 18C05)]
Artykuły opublikowane przed rokiem 1995
(PAPERS before 1995)
[1] Romanowska, Anna,
Algebraic structure of the tone system. Demonstratio Math. 7 (1974), 525--542.
[08A20]
[2] Romanowska, Anna, Some
equational classes of distributive p-algebras. Proceedings of the Lattice
Theory Conference (Ulm, 1975), pp. 155--161. Univ. Ulm, Ulm, 1975. [08A15]
[3] Romanowska, Anna, On
some equational classes of distributive double p-algebras. Demonstratio Math. 9
(1976), no. 4, 593--607. [06A35]
[4] Romanowska, Anna;
Freese, Ralph, Subdirectly irreducible modular double p-algebras. Houston J.
Math. 3 (1977), no. 1, 109--112.[06A35]
[5] Romanowska, Anna, On
free algebras in some equational classes defined by regular equations.
Demonstratio Math. 11 (1978), no. 4, 1131--1137 .[08B20 (08A05)]
[6] McKenzie, Ralph;
Romanowska, Anna, Varieties of .-distributive bisemilattices. Contributions to
general algebra (Proc. Klagenfurt
Conf., Klagenfurt, 1978), pp. 213--218, Heyn, Klagenfurt, 1979.[06B20 (06A12)]
[7] Romanowska, Anna, On
some algebras connected with the theory of harmony. Colloq. Math. 41 (1979),
no. 2, 181--185.[06D99]
[8] Romanowska, Anna, On
bisemilattices with one distributive law. Algebra Universalis 10 (1980), no. 1,
36--47. [06A12]
[9] Romanowska, Anna, Free
bisemilattices with one distributive law. Demonstratio Math. 13 (1980), no. 2,
565--572.[06D99 (06A99)]
[10] Romanowska, Anna,
Subdirectly irreducible . -distributive bisemilattices. I. Demonstratio Math.
13 (1980), no. 3, 767--785. [06D99 (06A99)]
[11] Romanowska, Anna;
Traczyk, Tadeusz, On commutative BCK-algebras. Math. Japon. 25 (1980), no. 5,
567--583.[06D99 (03G25)]
[12] Wille, Rudolf,
Mathematics and music theory. (Polish) Translated from German by Anna
Romanowska. Wiadom. Mat. (2) 23, no. 1, 55--67. (1980), [01A99]
[13] Romanowska, Anna
Subdirectly irreducible pseudocomplemented De Morgan algebras. Algebra
Universalis 12 (1981), no. 1, 70--75.[06D15 (06D30)]
[14] Romanowska, Anna B.; Smith, Jonathan D. H. Bisemilattices of subsemilattices. J. Algebra 70 (1981), no. 1, 78--88.[06A12]
[15] Romanowska, Anna; Traczyk, Tadeusz, On the structure of commutative BCK-chains. Math. Japon. 26 (1981), no. 4, 433--442.[06D99 (03G25 20M99)]
[16] Romanowska, Anna; Traczyk, Tadeusz, Commutative BCK-algebras. Subdirectly irreducible algebras and
varieties. Math. Japon. 27 (1982), no. 1, 35--48.[06D99 (03G25)]
[17] Romanowska, A., On
distributivity of bisemilattices with one distributive law. Universal algebra (Esztergom, 1977), pp.
653--661, Colloq. Math.
Soc. Janos Bolyai, 29,North-Holland, Amsterdam-New York, 1982.[06A12 (06D99)]
[18] Pastijn, F.;
Romanowska, A., Idempotent distributive semirings. I. Acta Sci. Math. (Szeged)
44 (1982), no. 3-4, 239--253 (1983).[16A78 (20M10)]
[19] Romanowska, Anna,
Idempotent distributive semirings with a semilattice reduct. Math. Japon. 27
(1982), no. 4, 483--493. [16A78 (06A12 08B20 20M25)]
[20] Romanowska, Anna, Free
idempotent distributive semirings with a semilattice reduct. Math. Japon. 27
(1982), no. 4, 467--481. [16A78 (06A12 08B20 20M25)]
[21] Dudek, Jozef;
Romanowska, Anna, Bisemilattices with four essentially binary polynomials.
Contributions to lattice theory (Szeged, 1980), 337--360, Colloq. Math. Soc.
Janos Bolyai, 33, North-Holland, Amsterdam-New York, 1983. [06A12]
[22] Romanowska, Anna,
Algebras of functions from partially ordered sets into distributive lattices.
Universal algebra and lattice theory (Puebla, 1982), 245--256, Lecture Notes in
Math., 1004, Springer, Berlin-New York, 1983. [06D05 (06A10)]
[23] Romanowska, A.,
Building bisemilattices from lattices and semilattices. Contributions to
General Algebra, 2 (Klagenfurt, 1982), 343--358, Holder-Pichler-Tempsky,
Vienna, 1983.[06B99 (06A12 08A99)]
[24] Romanowska, Anna;
Traczyk, Tadeusz, Simple commutative BCK-chains. Math. Japon. 29 (1984), no. 2,
171--181.[06D99 (03G25)]
[25] Romanowska, Anna, On
some constructions of bisemilattices. Demonstratio Math. 17 (1984), no. 4,
1011--1021. [06A12]
[26] Romanowska, A. B.;
Smith, J. D. H., Distributive lattices, generalisations, and related
nonassociative structures. Houston J. Math. 11 (1985), no. 3, 367--383.[06A12
(06D99 08B05)]
[27] Romanowska, Anna,
Commutative BCK-chains with one generator. Math. Japon. 30 (1985), no. 5,
663--670.[03G25 (06D99)]
[28] Palasinski, Marek;
Romanowska, Anna, Varieties of commutative BCK-algebras not generated by their
finite members. Demonstratio Math. 18 (1985), no. 2, 499--508.[06D99 (03G25)]
[29] Romanowska, Anna,
Constructing and reconstructing of algebras. Demonstratio Math. 18 (1985), no.
1, 209--230.[08A99 (06A12)]
[30] Romanowska, Anna B.; Smith,
Jonathan D. H., From affine to projective geometry via convexity. Universal
algebra and lattice theory (Charleston, S.C., 1984), 255--269, Lecture Notes in
Math., 1149, Springer, Berlin-New York, 1985.[51A05 (08A99)]
[31] Romanowska, Anna, On
regular and regularized varieties. Algebra Universalis 23 (1986), no. 3,
215--241.[08B05 (08B25)]
[32] Romanowska, Anna, Some
varieties of algebras defined by externally compatible identities. Demonstratio
Math. 20 (1987), no. 1-2, 109--119 (1988). [08B05]
[33] Romanowska, Anna;
Roszkowska, Barbara, On some groupoid modes. Demonstratio Math. 20 (1987), no.
1-2, 277--290.[20N99]
[34] Romanowska, Anna, On
some representations of groupoid modes satisfying the reduction law.
Demonstratio Math. 21 (1988), no. 4, 943--960 (1989). [20N99]
[35] Romanowska, A.;
Roszkowska, B., Representations of n-cyclic groupoids. Algebra Universalis 26
(1989), no. 1, 7--15.[20N99]
[36] Romanowska, Anna B.;
Smith, Jonathan D. H., Support functions and ordinal products. Geom. Dedicata
30 (1989), no. 3, 281--296.[52A20 (06D99 08A99)]
[37] Romanowska, Anna;
Smith, Jonathan, On the structure of subalgebra systems of idempotent entropic
algebras. J. Algebra 120 (1989), no. 2, 263--283. [08A30 (06A12 08B05)]
[38] Romanowska, Anna B.;
Smith, Jonathan D. H., Subalgebra systems of idempotent entropic algebras. J.
Algebra 120 (1989), no. 2, 247--262.[08A30 (06A12 08B05)]
[39] Romanowska, A.;
Trakul, A., On the structure of some bilattices. Universal and applied algebra
(Turawa, 1988), 235--253, World Sci. Publishing, Teaneck, NJ, 1989.[06B99]
[40] Romanowska, Anna B.;
Smith, Jonathan D. H., Communicating processes and entropic algebras. Fund.
Inform. 13 (1990), no. 3, 263--274. [68Q55 (16Y60 68Q05 92B20)]
[41] Romanowska, A. B.;
Smith, J. D. H., On the structure of barycentric algebras. Houston J. Math. 16
(1990), no. 3, 431--448.[08A05 (52A07)]
[42] Romanowska, A. B.;
Smith, J. D. H., On the structure of semilattice sums. Czechoslovak Math. J.
41(116) (1991), no. 1, 24--43.[08A62 (06A12 08B05)]
[43] Knoebel, Arthur;
Romanowska, Anna, Distributive multisemilattices. Dissertationes Math.
(Rozprawy Mat.) 309 (1991), 42 pp.[06A12 (08B05 08B15 08B26)]
[44] Gierz, Gerhard;
Romanowska, Anna, Duality for distributive bisemilattices. J. Austral. Math.
Soc. Ser. A 51 (1991), no. 2, 247--275.[06F05 (08C05 20M10 22A30)]
[45] Romanowska, A. B.;
Smith, J. D. H., Differential groupoids. Contributions to general algebra, 7
(Vienna, 1990), 283--290, Holder-Pichler-Tempsky, Vienna, 1991.[20N02]
[46] Romanowska, Anna, An introduction
to the theory of modes and modals. Proceedings of the International Conference
on Algebra, Part 3 (Novosibirsk, 1989), 241--262, Contemp. Math., 131, Part 3,
Amer. Math. Soc., Providence, RI, 1992.[08-02 (06-02)]
[47] Płonka, J.; Romanowska, A., Semilattice sums. Universal algebra and quasigroup theory
(Jadwisin, 1989), 123--158, Res. Exp. Math., 19, Heldermann, Berlin,
1992.[06A12 (06A15 08B25)]
[48] Romanowska, Anna,
Mal’cev modes, affine spaces and barycentric algebras. Universal algebra and
quasigroup theory (Jadwisin, 1989), 173--194, Res. Exp. Math., 19, Heldermann,
Berlin, 1992.[08A40 (08B05)]
[49] Romanowska, A. B.;
Smith, J. D. H., Separable modes. Algebra Universalis 30 (1993), no. 1,
61--71.[08A05 (08A02)]
[50] Romanowska, Anna,
Dissemilattices with multiplicative reducts chains. Dedicated to T. Traczyk on
the occasion of his 70th birthday. Demonstratio Math. 27 (1994), no. 3-4,
843--857.[06A12]
[51] Pilitowska, A.;
Romanowska, A.; Smith, J. D. H., Affine spaces and algebras of subalgebras.
Algebra Universalis 34 (1995), no. 4, 527--540. [08A30 (08A05)]
[52] Romanowska, Anna,
Subdirectly irreducible meet-distributive bisemilattices. II. Discuss. Math.
Algebra Stochastic Methods 15 (1995), no. 1, 145--161.[06F99 (06A12 06D99)]