Siniša Crvenković - Publications

Research Papers

55. S.Crvenkovic, D.A.Romano and M.Vincic, A note on band anticongruence of ordered semigroups, International Journal of Algebra 2 (2008), 1-11.

54. S.Crvenkovic and D.A.Romano, A theorem on anti-ordered factor-semigroups, Publications de l'Institut Mathematique (Beograd) 82(96) (2007), 119-128.

53. S.Crvenkovic and V.Tasic, Second cohomology and nilpotency class 2, Publications de l'Institut Mathematique (Beograd) 81(95) (2007), 3-10.

52. S.Crvenkovic, I.Dolinka and V.Tasic, A locally finite variety of rings with an undecidable equational theory, Quarterly Journal of Mathematics (Oxford) 57 (2006), 297-307.

51. S.Crvenkovic and I.Dolinka, Varieties of involution semigroups and involution semirings: a survey, in: Proceedings of the International Conference "Contemporary Developments in Mathematics" (Banja Luka, 2000), a special issue of Bulletin of Society of Mathematicians of Banja Luka 9 (2002), 7-47.

50. S.Crvenkovic and I.Dolinka, On axioms for commutative regular equations without addition, Theoretical Computer Science 289 (2002), 531-551.

49. S.Crvenkovic and I.Dolinka, Congruences on *-regular semigroups, Periodica Mathematica Hungarica 45 (2002), 1-13.

48. S.Crvenkovic, I.Dolinka and M.Vincic, On subdirect decomposition and varieties of some rings with involution, Beiträge zur Algebra und Geometrie 43 (2002), 423-432.

47. S.Crvenkovic and V.Tasic, Decidability of semigroup identities in soluble groups, Journal of Group Theory 5 (2002), 107-118.

46. S.Crvenkovic, I.Dolinka and M.Vincic, Involution semigroups are not globally determined, Semigroup Forum 62 (2001), 477-481.

45. S.Crvenkovic, I.Dolinka and N.Ruskuc, The Berman conjecture is true for finite surjective semigroups and their inflations, Semigroup Forum 62 (2001), 103-114.

44. S.Crvenkovic, I.Dolinka and Z.Esik, On equations for union-free regular languages, Information and Computation 164 (2001), 152-172.

43. S.Crvenkovic, I.Dolinka and N.Ruskuc, Finite semigroups with few term operations, Journal of Pure and Applied Algebra 157 (2001), 205-214.

42. S.Crvenkovic, I.Dolinka and M.Vincic, Equational bases for some 0-direct unions of semigroups, Studia Scientiarum Mathematicarum Hungarica 36 (2000), 423-431.

41. S.Crvenkovic and I.Dolinka, Finite semigroups with slowly growing $p$ _n-sequences, Algebra Universalis 43 (2000), 259-268.

40. S.Crvenkovic, I.Dolinka and N.Ruskuc, Notes on the number of operations of finite semigroups, Acta Scientiarum Mathematicarum (Szeged) 66 (2000), 23-31.

39. S.Crvenkovic, I.Dolinka and Z.Esik, The variety of Kleene algebras with conversion is not finitely based, Theoretical Computer Science 230 (2000), 235-245.

38. S.Crvenkovic and I.Dolinka, Separability and decidability results for varieties of Jonsson dynamic algebras, Algebra Universalis 43 (2000), 79-97.

37. S.Crvenkovic, I.Dolinka and Z.Esik, A note on equations for commutative regular languages, Information Processing Letters 70 (2) (1999), 265-267.

36. S.Crvenkovic, I.Dolinka and P.Markovic, A survey of algebra of tournaments, in eds. S.Crvenkovic and I.Dolinka, Proceedings of the VIII International Conference "Algebra & Logic" (Novi Sad, 1998), Novi Sad Journal of Mathematics 29 (2) (1999), 95-130.

35. S.Crvenkovic, I.Dolinka and P.Markovic, Decidability problems for the variety generated by tournaments, in eds. S. Crvenkovic and I.Dolinka, Proceedings of the VIII International Conference "Algebra & Logic" (Novi Sad, 1998), Novi Sad Journal of Mathematics 29 (2) (1999), 85-93.

34. S.Crvenkovic and I.Dolinka, Undecidable varieties with solvable word problems - III (A semigroup variety), Novi Sad Journal of Mathematics 28 (2) (1998), 109-117.

33. S.Crvenkovic and I.Dolinka, A variety with undecidable equational theory and solvable word problem, International Journal of Algebra and Computation 8 (1998), 625-630.

32. S.Crvenkovic and I.Dolinka, Undecidable varieties with solvable word problems - II, Novi Sad Journal of Mathematics 26 (2) (1996), 21-30.

31. S.Crvenkovic and I.Dolinka, Undecidable varieties with solvable word problems - I, Facta Universitatis (Nis), Series Mathematics and Informatics 11 (1996), 1-8.

30. S.Crvenkovic and D.Delic, Different levels of word problems for some varieties, Novi Sad Journal of Mathematics 26 (1) (1996), 93-102.

29. S.Crvenkovic and D.Delic, A variety with locally solvable but globally unsolvable word problems, Algebra Universalis 35 (1996), 420-424.

28. S.Crvenkovic, Word problems for varieties of algebras (a survey), in eds S. Bogdanovic, M. Ciric and Z. Perovic, Proceedings of the International Conference on Algebra, Logic and Discrete Mathematics (Nis, 1995), Filomat 9 (3) (1995), 427-448.

27. S.Crvenkovic and N.Ruskuc, Log-linear varieties of semigroups, Algebra Universalis 33 (1995), 370-374.

26. S.Crvenkovic and R.Sz.Madarasz, On dynamic algebras, Theoretical Computer Science 134 (1994), 79-86.

25. S.Crvenkovic and N.Ruskuc, On groupoids having n² essentailly $n$ -ary polynomials, Review of Research of the Faculty of Science, Mathematics Series 23 (2) (1993), 287-312.

24. S.Crvenkovic and I.Stojmenovic, An algorithm for Cayley tables of algebras, Review of Research of the Faculty of Science, Mathematics Series 23 (2) (1993), 221-231.

23. S.Crvenkovic and N.Ruskuc, On semigroups having $n$ ² essentailly $n$ -ary polynomials, Algebra Universalis 30 (1993), 269-271.

22. S.Crvenkovic and R.Sz.Madarasz, On Kleene algebras, Theoretical Computer Science 108 (1993), 17-24.

21. S.Crvenkovic and R.Sz.Madarasz, On equational base for Kleene relation algebras, in ed. M. Ito, Proceedings of the I International Colloquium on Words, Languages and Combinatorics (Kyoto, 1990), pp. 64-72, World Scientific, 1992.

20. S.Crvenkovic and R.Sz.Madarasz, A non-axiomatizability result in algebraic logic, Algebra Universalis 28 (1991), 487-494.

19. M.Kunze and S.Crvenkovic, Maximal subsemilattices of the full transformation semigroup on a finite set, Dissertationes Mathematicae 314 (1991), 1-31.

18. S.Crvenkovic and R.Sz.Madarasz, On semigroup-relation algebras, in ed. S. Crvenkovic, Proceedings of the VI Conference "Algebra & Logic" (Sarajevo, 1987), pp. 17-28, University of Novi Sad, 1989.

17. S.Crvenkovic and R.Sz.Madarasz, On a problem of partial algebras, Review of Research of the Faculty of Science, Mathematics Series 17 (2) (1987), 39-55.

16. M.Kunze and S.Crvenkovic, Maximal subsemilattices of the full transformation semigroup, Semigroup Forum 35 (1987), 245-250.

15. S.Crvenkovic and M.Kunze, Actions of semilattices, Semigroup Forum 34 (1986), 131-156.

14. S.Crvenkovic and J.Dudek, Rectangular groupoids, Czechoslovak Journal of Mathematics 35 (110) (1985), 405-414.

13. S.Crvenkovic, J.Stanojlovic and I.Stojmenovic, An algorithm for the determination of all semigroups of n elements, an appendix to S.Bogdanovic, Semigroups with a System of Subsemigroups, pp.154-172, University of Novi Sad, 1985.

12. S.Milic and S.Crvenkovic, Basis class for some classes of semigroups, in eds. Gy.Pollak, St.Schwarz and O.Steinfeld, "Semigroups" (Szeged, 1981), Colloquia Mathematica Societatis Janos Bolyai, Vol. 39, pp. 157-162, North-Holland, 1985.

11. G.Cupona, S.Crvenkovic, S.Markovski and G.Vojvodic, Subalgebras of cancellative semigroups, in eds. V.V.Topencharov and Y.N.Arnaudov, Proceedings of the II International Symposium on $n$ -ary structures (Varna, 1983), pp. 49-64, Center of Applied Mathematics, Sofia, 1985.

10. S.Crvenkovic, On *-regular semigroups, in eds. S.Milic et al., Proceedings of the III Algebraic Conference (Belgrade, 1982), pp. 51-57, University of Novi Sad, 1983.

9. G.Cupona, G.Vojvodic and S.Crvenkovic, Representations of semigroups of operations in semigroups of left translations, in Proceedings of the Symposium on $n-ary structures$ (Skopje, 1982), pp. 209-222, Macedonian Academy of Sciences and Arts, Skopje, 1982.

8. S.Milic and S.Crvenkovic, Proper subsemigroups of a semigroup, in ed. K.Ghilezan, Proceedings of the II Algebraic Conference (Novi Sad, 1981), pp. 149-152, University of Novi Sad, 1982.

7. G.Cupona, S.Crvenkovic and G.Vojvodic, Subalgebras of abelian torsion groups, in ed. K Ghilezan, Proceedings of the II Algebraic Conference (Novi Sad, 1981), pp. 141-148, University of Novi Sad, 1982.

6. G.Cupona, S.Crvenkovic and G.Vojvodic, Subalgebras of commutative semigroups satisfying the law $x$ ^r=x^r+m, Review of Research of the Faculty of Science, Mathematics Series 11 (1981), 217-230.

5. S.Crvenkovic, Basis class of one class of semigroups, in ed. N.Celakoski, Proceedings of the I Algebraic Conference (Skopje, 1980), pp. 87-89, University of Skopje, 1980.

4. G.Cupona, S.Crvenkovic and G.Vojvodic, Subalgebras of semilattices, Review of Research of the Faculty of Science, Mathematics Series 10 (1980), 191-195.

3. S.Crvenkovic, On some properties of a class of completely regular semigroups, Review of Research of the Faculty of Science, Mathematics Series 9 (1979), 153-160.

2. S.Bogdanovic and S.Crvenkovic, On some classes of semigroups, Review of Research of the Faculty of Science, Mathematics Series 8 (1978), 69-77.

1. M.Grulovic and S.Crvenkovic, On the consistency and independence of some axioms of set theory (in Serbian), Vesnik Matematicki 2 (1978), 111-116.

Invited Conference Lectures

1. Relation algebras and some questions of decidability, Conference on Universal algebra, Oberwolfach, Germany, February 1988.

2. On some problems of decidability, Universal Algebra Symposium, Turava, Poland, May 1988.

3. Word problems in varieties of universal algebras, Summer School on General Algebra and Ordered Sets, Rackova Dolina, Czechoslovakia, September 1988.

4. Word problems, International algebraic conference in honor of A.I.Mal'cev's 80th Birthday Anniversary, Novosibirsk, Russia, August 1989.

5. Kleene algebras, I International Colloquium on Words, Languages and Combinatorics, Kyoto, Japan, August 1990.

6. Dynamic algebras, II International Colloquium on Words, Languages and Combinatorics, Kyoto, Japan, August 1992.

7. Word problems for varieties of algebras, International Conference on Algebra, Logic and Discrete Mathematics, Nis, Yugoslavia, April 1995.

8. Panonian algebraic panopticum, International Conference "Conteporary Developments in Mathematics", Banja Luka, Bosnia and Herzegovina, November 2000.

9. Some results in general algebra: problems and perspectives, X Congress of Yugoslav Mathematicians, Beograd, Yugoslavia, January 2001.

10. Some results of the Novi Sad school inspired by Andreka and Nemeti, International conference "Logic, Algebra, Relativity" honoring the 60th birthday of Istvan Nemeti, Budapest, November 2002.

Articles

1. S.Crvenkovic, Learning mathematics through misleading examples, Misao 19 (348) (1980), 8-9.

2. S.Crvenkovic, Certain experiences in activities for talented pupils, Review of Education 25 (6) (1989), 27-30.

3. S.Crvenkovic and S.Pujic, Mathematics helps sport activities - sport activities help mathematics, in Proceedings of the VII International Interdisciplinary Symposium "Sport, physical activities and health in the third millennium", University of Novi Sad, 1999.

4. S.Crvenkovic and S.Pujic, Some applications of mathematical methods in physical and health education, in Proceedings of the VIII International Interdisciplinary Symposium "Sport, physical activities and health in the third millennium", University of Novi Sad, 2000.

5. S.Crvenkovic and S.Pujic, Logical and combinatorial methods in sport, in Proceedings of the IX International Interdisciplinary Symposium "Sport, physical activities and health in the third millennium", University of Novi Sad, 2001.

6. S.Crvenkovic, S.Damjanov and S.Pujic, A few characteristics and perspectives of sport in schools, in Proceedings of the X International Interdisciplinary Symposium "Sport, physical activities and health in the third millennium", University of Novi Sad, 2002.

7. S.Crvenkovic, M.Pujic and S.Pujic, Tactical model of precision, in Proceedings of the XI International Interdisciplinary Symposium "Sport, physical activities and health in the third millennium", University of Novi Sad, 2003.

8. S.Crvenkovic, Tournaments as algebras, to appear in Mathematical Colloquium, University of Banja Luka.

9. S.Crvenkovic, Tarski's High School Problem, to appear in Mathematical Colloquium, University of Banja Luka.

Books (in Serbian)

1. S.Crvenkovic and R.Tosic, A Collection of Problems in Theory of Algorithms, v+99 pages, University of Novi Sad, 1980.

2. R.Sz.Madarasz and S.Crvenkovic, Relation Algebras, xiii+230 pages, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, 1992.

3. R.Sz.Madarasz and S.Crvenkovic, An Introduction to the Theory of Automata and Formal Languages, University Textbook Series, Vol. 15, v+208 pages, University of Novi Sad, 1995.

4. S.Crvenkovic, 450 Years of Ars Magna - The Beginning of Algebra, 38 pages, Prosvetni pregled, Belgrade, 1996.

5. S.Crvenkovic, I.Dolinka and R Sz.Madarasz, Selected Topics in General Algebra: Groups, Rings, Fields, Lattices, University Textbook Series, Vol. 47, iv+237 pages, University of Novi Sad, 1998.

6. S.Crvenkovic, R.Sz.Madarasz, and N.Mudrinski, A Collection of Problems in Automata Theory, Univeristy of Novi Sad, 2005.