Igor Dolinka - PUBLICATIONS

(Updated: Aug 26, 2010)

Research papers

Papers in preparation

62. (with K. Auinger and M.V. Volkov) Equational theories of partition semigroups with involution (tentative title).

61. (with D. Mašulović) A universality result for endomorphism monoids of some ultrahomogeneous structures.

Submitted papers

60. On free spectra of locally testable semigroup varieties (submitted August 26, 2010).

59. On maximal subgroups of free objects of certain completely regular semigroup varieties (submitted August 10, 2010).

58. The Begman property for endomorphism monoids of some Fraïssé limits (submitted August 9, 2010).

57. (with K. Auinger and M.V. Volkov) Matrix identities involving multiplication and transposition (submitted April 26, 2009; the old version can be accessed on arXiv).

Papers in print

56. On residually finite varieties of involution semigroups, to appear in J. Austral. Math. Soc.

55. Power semigroups of finite groups and the INFB property, to appear in Algebra Universalis.

54. (with D. Mašulović) Remarks on homomorphism-homogeneous lattices and semilattices, to appear in Monatsh. Math. DOI: 10.1007/s00605-010-0225-9

2010

53. On identities of finite involution semigroups, Semigroup Forum 80 (2010), 105-120.

52. (with A. Bonato and D. Delić) All countable monoids embed into the monoid of the infinite random graph, Discrete Math. 310 (2010), 373-375.

2009

51. (with P. Đapić) Quasilinear varieties of semigroups, Semigroup Forum 79 (2009), 445-450.

50. The finite basis problem for endomorphism semirings of finite semilattices with zero, Algebra Universalis 61 (2009), 441-448.

49. On free spectra of finite completely regular semigroups and monoids, J. Pure Appl. Algebra 213 (2009), 1979-1990.

48. A remark on nonfinitely based semirings, Semigroup Forum 78 (2009), 368-373.

47. A class of inherently nonfinitely based semirings, Algebra Universalis 60 (2009), 19-35.

2008

46. An uncountable interval in the lattice of semiring varieties, Acta Sci. Math. (Szeged) 74 (2008), 85-93.

2007

45. A nonfinitely based finite semiring, Internat. J. Algebra Comput. 17 (2007), 1537-1551.

44. The endomorphism monoid of the random poset contains all countable semigroups, Algebra Universalis 56 (2007), 469-474.

43. Axiomatizing the identities of binoid languages, Theoret. Comput. Sci. 372 (2007), 1-14.

2006

42. (with S. Crvenković and V. Tasić) A locally finite variety of rings with an undecidable equational theory, Quart. J. Math. 57 (2006), 297-307.

2005

41. Varieties of involution semilattices of Archimedean semigroups, Publ. Math. (Debrecen) 66 (2005), 439-447.

40. A note on identities of two-dimensional languages, Discrete Appl. Math. 146 (2005), 43-50.

2004

39. (with N. Mudrinski) On subdirect decomposition and varieties of some rings with involution. II, in: Proceedings of the Novi Sad Algebraic Conference 2003 (eds. I. Dolinka and A. Tepavčević), Novi Sad J. Math. 34/2 (2004), 109-117.

38. (with D. Delić) The endomorphism monoid of the random graph has uncountably many ideals, Semigroup Forum 69 (2004), 75-79.

37. (with P. Marković) The Berman conjecture is true for nilpotent extensions of regular semigroups, Algebra Universalis 51 (2004), 435-438.

2003

36. Semigroup varieties with a small number of term operations, Algebra Universalis 50 (2003), 325-340.

35. Idempotent distributive semirings with involution, Internat. J. Algebra Comput. 13 (2003), 597-625.

34. Regular *-semigroup varieties with the amalgamation property, Semigroup Forum 67 (2003), 419-428.

33. The multiplicative fragment of the Yanov equational theory, Theoret. Comput. Sci. 301 (2003), 417-425.

32. (with M. Vinčić) Involutorial Płonka sums, Periodica Math. Hungar. 46 (2003), 17-31.

2002

31. (with S. Crvenković) Varieties of involution semigroups and involution semirings: a survey, Bull. Soc. Math. Banja Luka 9 (2002), 7-47.

30. (with S. Crvenković and M. Vinčić) On subdirect decomposition and varieties of some rings with involution, Beiträge Algebra Geom. 43 (2002), 423-432.

29. (with S. Crvenković) Congruences on *-regular semigroups, Periodica Math. Hungar. 45 (2002), 1-13.

28. (with S. Crvenković) On axioms for commutative regular equations without addition, Theoret. Comput. Sci. 289 (2002), 531-551.

27. A note on square extensions of bands, Novi Sad J. Math. 32/1 (2002), 159-166.

26. Finite semigroups with slowly growing p_n-sequences. II, Acta Sci. Math. (Szeged) 68 (2002), 83-94.

2001

25. From twists to involution bands, Filomat (Niš) 15 (2001), 7-16.

24. Subdirectly irreducible bands with involution, Acta Sci. Math. (Szeged) 67 (2001), 535-554.

23. (with S. Crvenković and M. Vinčić) Involution semigroups are not globally determined, Semigroup Forum 62 (2001), 477-481.

22. On the lattice of varieties of involution semigroups, Semigroup Forum 62 (2001), 438-459.

21. (with S. Crvenković and Z. Ésik) On equations for union-free regular languages, Inform. Comput. 164 (2001), 152-172.

20. (with S. Crvenković and N. Ruškuc) The Berman conjecture is true for finite surjective semigroups and their inflations, Semigroup Forum 62 (2001), 103-114.

19. (with S. Crvenković and N. Ruškuc) Finite semigroups with few term operations, J. Pure Appl. Algebra 157 (2001), 205-214.

2000

18. On Kleene algebras of ternary co-relations, Acta Cybernetica 14 (2000), 583-595.

17. Minimal varieties of semirings with involution, Algebra Universalis 44 (2000), 143-151.

16. All varieties of normal bands with involution, Periodica Math. Hungar. 40 (2000), 109-122.

15. Remarks on varieties of involution bands, Comm. Algebra 28 (2000), 2837-2852.

14. (with S. Crvenković and M. Vinčić) Equational bases for some 0-direct unions of semigroups, Studia Sci. Math. Hungar. 36 (2000), 423-431.

13. (with S. Crvenković) Finite semigroups with slowly growing $p$_n-sequences, Algebra Universalis 43 (2000), 259-268.

12. (with S. Crvenković) Separability and decidability results for varieties of Jonsson dynamic algebras, Algebra Universalis 43 (2000), 79-97.

11. (with S. Crvenković and N. Ruškuc) Notes on the number of operations of finite semigroups, Acta Sci. Math. (Szeged) 66 (2000), 23-31.

10. (with S. Crvenković and Z. Ésik) The variety of Kleene algebras with conversion is not finitely based, Theoret. Comput. Sci. 230 (2000), 235-245.

1999

9. (with S. Crvenković and Z. Ésik) A note on equations for commutative regular languages, Inform. Process. Lett. 70 (1999), 265-267.

8. (with S. Crvenković and P. Marković) A survey of algebra of tournaments, in: Proceedings of the VIII International Conference "Algebra & Logic" (Novi Sad, 1998) (eds. S. Crvenković and I. Dolinka), Novi Sad J. Math. 29/2 (1999), 95-130.

7. (with S. Crvenković and P. Marković) Decidability problems for the variety generated by tournaments, in: Proceedings of the VIII International Conference "Algebra & Logic" (Novi Sad, 1998) (eds. S. Crvenković and I. Dolinka), Novi Sad J. Math. 29/2 (1999), 85-93.

6. A characterization of groups in the class of *-regular semigroups, Novi Sad J. Math. 29/1 (1999), 215-219.

5. Log-maximal finite semigroups do not exist, Filomat (Niš) 13 (1999), 25-29.

1998

4. (with S. Crvenković) Undecidable varieties with solvable word problems - III (A semigroup variety), Novi Sad J. Math. 28/2 (1998), 109-117.

3. (with S. Crvenković) A variety with undecidable equational theory and solvable word problem, Internat. J. Algebra Comput. 8 (1998), 625-630.

1996

2. (with S. Crvenković) Undecidable varieties with solvable word problems - II, Novi Sad J. Math. 26/2 (1996), 21-30.

1. (with S. Crvenković) Undecidable varieties with solvable word problems - I, Facta Universitatis (Niš), Ser. Math. Inform. 11 (1996), 1-8.

Books (in Serbian)

3. I.Dolinka, A Brief Introduction to Analysis of Algorithms, University of Novi Sad, 2008.

2. I.Dolinka, Elementary Number Theory: My Favourite Problems, Mathematical Society of Serbia, Belgrade, 2007.

1. (with S. Crvenković and R.Sz. Madarász) Selected Topics in General Algebra: Groups, Rings, Fields, Lattices, University of Novi Sad, 1998.