Igor Dolinka - PUBLICATIONS
(Updated: March 10, 2010)
Research papers
Submitted papers
56. I.Dolinka, On residually finite varieties of involution semigroups.
55. I.Dolinka, Power semigroups of finite groups and the INFB property.
54. K.Auinger, I.Dolinka, M.V.Volkov, Equational theories of semigroups with enriched signature (a revision will be available soon).
2010
53. I.Dolinka, On identities of finite involution semigroups, Semigroup Forum 80 (2010), 105-120.
52. A.Bonato, D.Delić and I.Dolinka, All countable monoids embed into the monoid of the infinite random graph, Discrete Mathematics 310 (2010), 373-375.
2009
51. I.Dolinka and P.Đapić, Quasilinear varieties of semigroups, Semigroup Forum 79 (2009), 445-450.
50. I.Dolinka, The finite basis problem for endomorphism semirings of finite semilattices with zero, Algebra Universalis 61 (2009), 441-448.
49. I.Dolinka, On free spectra of finite completely regular semigroups and monoids, Journal of Pure and Applied Algebra 213 (2009), 1979-1990.
48. I.Dolinka, A remark on nonfinitely based semirings, Semigroup Forum 78 (2009), 368-373.
47. I.Dolinka, A class of inherently nonfinitely based semirings, Algebra Universalis 60 (2009), 19-35.
2008
46. I.Dolinka, An uncountable interval in the lattice of semiring varieties, Acta Scientiarum Mathematicarum (Szeged) 74 (2008), 85-93.
2007
45. I.Dolinka, A nonfinitely based finite semiring, International Journal of Algebra and Computation 17 (2007), 1537-1551.
44. I.Dolinka, The endomorphism monoid of the random poset contains all countable semigroups, Algebra Universalis 56 (2007), 469-474.
43. I.Dolinka, Axiomatizing the identities of binoid languages, Theoretical Computer Science 372 (2007), 1-14.
2006
42. S.Crvenković, I.Dolinka and V.Tasić, A locally finite variety of rings with an undecidable equational theory, Quarterly Journal of Mathematics (Oxford) 57 (2006), 297-307.
2005
41. I.Dolinka, Varieties of involution semilattices of Archimedean semigroups, Publicationes Mathematicae (Debrecen) 66 (2005), 439-447.
40. I.Dolinka, A note on identities of two-dimensional languages, Discrete Applied Mathematics 146 (2005), 43-50.
2004
39. I.Dolinka and N.Mudrinski, On subdirect decomposition and varieties of some rings with involution. II, in: eds. I.Dolinka and A.Tepavčević, Proceedings of the Novi Sad Algebraic Conference 2003, Novi Sad Journal of Mathematics 34 (2) (2004), 109-117.
38. D.Delić and I.Dolinka, The endomorphism monoid of the random graph has uncountably many ideals, Semigroup Forum 69 (2004), 75-79.
37. I.Dolinka and P.Marković, The Berman conjecture is true for nilpotent extensions of regular semigroups, Algebra Universalis 51 (2004), 435-438.
2003
36. I.Dolinka, Semigroup varieties with a small number of term operations, Algebra Universalis 50 (2003), 325-340.
35. I.Dolinka, Idempotent distributive semirings with involution, International Journal of Algebra and Computation 13 (2003), 597-625.
34. I.Dolinka, Regular *-semigroup varieties with the amalgamation property, Semigroup Forum 67 (2003), 419-428.
33. I.Dolinka, The multiplicative fragment of the Yanov equational theory, Theoretical Computer Science 301 (2003), 417-425.
32. I.Dolinka and M.Vinčić, Involutorial Plonka sums, Periodica Mathematica Hungarica 46 (2003), 17-31.
2002
31. S.Crvenković and I.Dolinka, Varieties of involution semigroups and involution semirings: a survey, Bulletin of the Society of Mathematicians of Banja Luka 9 (2002), 7-47.
30. S.Crvenković, I.Dolinka and M.Vinčić, On subdirect decomposition and varieties of some rings with involution, Beiträge zur Algebra und Geometrie 43 (2002), 423-432.
29. S.Crvenković and I.Dolinka, Congruences on *-regular semigroups, Periodica Mathematica Hungarica 45 (2002), 1-13.
28. S.Crvenković and I.Dolinka, On axioms for commutative regular equations without addition, Theoretical Computer Science 289 (2002), 531-551.
27. I.Dolinka, A note on square extensions of bands, Novi Sad Journal of Mathematics 32 (1) (2002), 159-166.
26. I.Dolinka, Finite semigroups with slowly growing pn-sequences. II, Acta Scientiarum Mathematicarum (Szeged) 68 (2002), 83-94.
2001
25. I.Dolinka, From twists to involution bands, Filomat (Niš) 15 (2001), 7-16.
24. I.Dolinka, Subdirectly irreducible bands with involution, Acta Scientiarum Mathematicarum (Szeged) 67 (2001), 535-554.
23. S.Crvenković, I.Dolinka and M.Vinčić, Involution semigroups are not globally determined, Semigroup Forum 62 (2001), 477-481.
22. I.Dolinka, On the lattice of varieties of involution semigroups, Semigroup Forum 62 (2001), 438-459.
21. S.Crvenković, I.Dolinka and Z.Ésik, On equations for union-free regular languages, Information and Computation 164 (2001), 152-172.
20. S.Crvenković, I.Dolinka and N.Ruškuc, The Berman conjecture is true for finite surjective semigroups and their inflations, Semigroup Forum 62 (2001), 103-114.
19. S.Crvenković, I.Dolinka and N.Ruškuc, Finite semigroups with few term operations, Journal of Pure and Applied Algebra 157 (2001), 205-214.
2000
18. I.Dolinka, On Kleene algebras of ternary co-relations, Acta Cybernetica 14 (2000), 583-595.
17. I.Dolinka, Minimal varieties of semirings with involution, Algebra Universalis 44 (2000), 143-151.
16. I.Dolinka, All varieties of normal bands with involution, Periodica Mathematica Hungarica 40 (2000), 109-122.
15. I.Dolinka, Remarks on varieties of involution bands, Communications in Algebra 28 (2000), 2837-2852.
14. S.Crvenković, I.Dolinka and M.Vinčić, Equational bases for some 0-direct unions of semigroups, Studia Scientiarum Mathematicarum Hungarica 36 (2000), 423-431.
13. S.Crvenković and I.Dolinka, Finite semigroups with slowly growing -sequences, Algebra Universalis 43 (2000), 259-268.
12. S.Crvenković and I.Dolinka, Separability and decidability results for varieties of Jonsson dynamic algebras, Algebra Universalis 43 (2000), 79-97.
11. S.Crvenković, I.Dolinka and N.Ruškuc, Notes on the number of operations of finite semigroups, Acta Scientiarum Mathematicarum (Szeged) 66 (2000), 23-31.
10. S.Crvenković, I.Dolinka and Z.Ésik, The variety of Kleene algebras with conversion is not finitely based, Theoretical Computer Science 230 (2000), 235-245.
1999
9. S.Crvenković, I.Dolinka and Z.Ésik, A note on equations for commutative regular languages, Information Processing Letters 70 (1999), 265-267.
8. S.Crvenković, I.Dolinka and P.Marković, A survey of algebra of tournaments, in: eds. S.Crvenković and I.Dolinka, Proceedings of the VIII International Conference "Algebra & Logic" (Novi Sad, 1998), Novi Sad Journal of Mathematics 29 (2) (1999), 95-130.
7. S.Crvenković, I.Dolinka and P.Marković, Decidability problems for the variety generated by tournaments, in: eds. S.Crvenković and I.Dolinka, Proceedings of the VIII International Conference "Algebra & Logic" (Novi Sad, 1998), Novi Sad Journal of Mathematics 29 (2) (1999), 85-93.
6. I.Dolinka, A characterization of groups in the class of *-regular semigroups, Novi Sad Journal of Mathematics 29 (1) (1999), 215-219.
5. I.Dolinka, Log-maximal finite semigroups do not exist, Filomat (Niš) 13 (1999), 25-29.
1998
4. S.Crvenković and I.Dolinka, Undecidable varieties with solvable word problems - III (A semigroup variety), Novi Sad Journal of Mathematics 28 (2) (1998), 109-117.
3. S.Crvenković and I.Dolinka, A variety with undecidable equational theory and solvable word problem, International Journal of Algebra and Computation 8 (1998), 625-630.
1996
2. S.Crvenković and I.Dolinka, Undecidable varieties with solvable word problems - II, Novi Sad Journal of Mathematics 26 (2) (1996), 21-30.
1. S.Crvenković and I.Dolinka, Undecidable varieties with solvable word problems - I, Facta Universitatis (Niš), Series Mathematics and Informatics 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. S.Crvenković, I.Dolinka and R.Sz.Madarász, Selected Topics in General Algebra: Groups, Rings, Fields, Lattices, University Textbook Series, Vol.47, University of Novi Sad, 1998.