Igor Dolinka

Full Professor
Department of Mathematics and Informatics
Faculty of Science, University of Novi Sad
Trg Dositeja Obradovića 4, 21101 Novi Sad, Serbia
Tel: +381 (21) 485 28 59, E-mail: dockie AT dmi.uns.ac.rs

Research papers

Submitted papers

76. On free spectra of varieties of locally threshold testable semigroups.   [ pdf ]
75. Finite regular bands are finitely related.   [ pdf ]
74. Maximal subgroups of free idempotent generated semigroups over the full linear monoid
(with R.D. Gray).   [ arXiv:1112.0893 ]
73. Simplicity in homogeneous graphs and digraphs (with D. Mašulović).   [ pdf ]
72. Countable homogeneous linearly ordered posets (with D. Mašulović).   [ pdf ]
71. Finite homomorphism-homogeneous permutations via edge colourings of chains (with É. Jungábel).
[ pdf ]
70. Bands, free idempotent generated semigroups, and direct products of free groups.   [ arXiv:1109.4402 ]
69. Equational theories of semigroups with involution (with K. Auinger and M.V. Volkov).   [ pdf ]

Papers in print

68. On free spectra of finite monoids from the pseudovariety DA.
Semigroup Forum (to appear).   [ pdf ]
67. On free spectra of a class of finite inverse monoids.
Journal of the Australian Mathematical Society (to appear).   [ pdf ]
66. A note on free idempotent generated semigroups over the full monoid of partial transformations.
 Communications in Algebra (to appear).   [ arXiv:1101.3057 ]
65. A note on maximal subgroups of free idempotent generated semigroups over bands.
Periodica Mathematica Hungarica (to appear).   [ arXiv:1010.3737 ]
64. A universality result for endomorphism monoids of some ultrahomogeneous structures
(with D. Mašulović).
Proceedings of the Edinburgh Mathematical Society (to appear).   [ pdf ]   [ arXiv:1009.2892 ]
63. Matrix identities involving multiplication and transposition (with K. Auinger and M.V. Volkov).
Journal of the European Mathematical Society (to appear).   [ pdf ]   [ arXiv:0902.1155 ]
62. The Bergman property for endomorphism monoids of some Fraďssé limits.
Forum Mathematicum (to appear).   [ arXiv:1009.2106 ]   [ doi ]

2012

61. Properties of the automorphism group and a probabilistic construction of a class of countable labeled structures (with D. Mašulović).
Journal of Combinatorial Theory, Series A Vol. 119 (2012), 1014-1030.   [ doi ]
60. A characterization of retracts in certain Fraďssé limits.
Mathematical Logic Quarterly Vol. 58 (2012), 46-54.   [ doi ]

2011

59. Finite groups are big as semigroups (with N. Ruškuc).
Archiv der Mathematik Vol. 97 (2011), 209-217.   [ doi ]
58. On free spectra of locally testable semigroup varieties.
Glasgow Mathematical Journal Vol. 53 (2011), 623-629.   [ doi ]
57. Remarks on homomorphism-homogeneous lattices and semilattices (with D. Mašulović).
Monatshefte für Mathematik Vol. 164 (2011), 23-37.   [ doi ]
56. On maximal subgroups of free objects of certain completely regular semigroup varieties.
International Journal of Algebra and Computation Vol. 21 (2011), 473-484.   [ doi ]

2010

55. On residually finite varieties of involution semigroups.
Journal of the Australian Mathematical Society Vol. 89 (2010), 181-198.   [ doi ]
54. Power semigroups of finite groups and the INFB property.
Algebra Universalis Vol. 63 (2010), 239-242.   [ doi ]
53. On identities of finite involution semigroups.
Semigroup Forum Vol. 80 (2010), 105-120.   [ doi ]
52. All countable monoids embed into the monoid of the infinite random graph (with A. Bonato and D. Delić).
Discrete Mathematics Vol. 310 (2010), 373-375.   [ doi ]

2009

51. Quasilinear varieties of semigroups (with P. Đapić).
Semigroup Forum Vol. 79 (2009), 445-450.   [ doi ]
50. The finite basis problem for endomorphism semirings of finite semilattices with zero.
Algebra Universalis Vol. 61 (2009), 441-448.   [ doi ]
49. On free spectra of finite completely regular semigroups and monoids.
Journal of Pure and Applied Algebra Vol. 213 (2009), 1979-1990.   [ doi ]
48. A remark on nonfinitely based semirings.
Semigroup Forum Vol. 78 (2009), 368-373.   [ doi ]
47. A class of inherently nonfinitely based semirings.
Algebra Universalis Vol. 60 (2009), 19-35.   [ doi ]

2008

46. An uncountable interval in the lattice of semiring varieties.
Acta Scientiarum Mathematicarum (Szeged) Vol. 74 (2008), 85-93.   [ link ]

2007

45. A nonfinitely based finite semiring.
International Journal of Algebra and Computation Vol. 17 (2007), 1537-1551.   [ doi ]
44. The endomorphism monoid of the random poset contains all countable semigroups.
Algebra Universalis Vol. 56 (2007), 469-474.   [ doi ]
43. Axiomatizing the identities of binoid languages.
Theoretical Computer Science Vol. 372 (2007), 1-14.   [ doi ]

2006

42. A locally finite variety of rings with an undecidable equational theory (with S. Crvenković and V. Tasić).
Quarterly Journal of Mathematics Vol. 57 (2006), 297-307.   [ doi ]

2005

41. Varieties of involution semilattices of Archimedean semigroups.
Publicationes Mathematicae Debrecen Vol. 66 (2005), 439-447.   [ link ]
40. A note on identities of two-dimensional languages.
Discrete Applied Mathematics Vol. 146 (2005), 43-50.   [ doi ]

2004

39. On subdirect decomposition and varieties of some rings with involution. II (with N. Mudrinski).
In: Proceedings of the Novi Sad Algebraic Conference 2003 (eds. I. Dolinka, A.Tepavčević).
Novi Sad Journal of Mathematics Vol. 34, No. 2 (2004), 109-117.   [ pdf ]
38. The endomorphism monoid of the random graph has uncountably many ideals (with D. Delić).
Semigroup Forum Vol. 69 (2004), 75-79.   [ doi ]
37. The Berman conjecture is true for nilpotent extensions of regular semigroups (with P. Marković).
Algebra Universalis Vol. 51 (2004), 435-438.   [ doi ]

2003

36. Semigroup varieties with a small number of term operations.
Algebra Universalis Vol. 50 (2003), 325-340.   [ doi ]
35. Idempotent distributive semirings with involution.
International Journal of Algebra of Computation Vol. 13 (2003), 597-625.   [ doi ]
34. Regular *-semigroup varieties with the amalgamation property.
Semigroup Forum Vol. 67 (2003), 419-428.   [ doi ]
33. The multiplicative fragment of the Yanov equational theory.
Theoretical Comupter Science Vol. 301 (2003), 417-425.   [ doi ]
32. Involutorial Płonka sums (with M. Vinčić).
Periodica Mathematica Hungarica Vol. 46 (2003), 17-31.   [ doi ]

2002

31. Varieties of involution semigroups and involution semirings: a survey (with S. Crvenković).
Bulletin of the Society of Mathematicians of Banja Luka Vol. 9 (2002), 7-47.   [ pdf ]
30. On subdirect decomposition and varieties of some rings with involution
(with S. Crvenković and M. Vinčić).
Beiträge zur Algebra und Geometrie Vol. 43 (2002), 423-432.   [ pdf ]
29. Congruences on *-regular semigroups (with S. Crvenković).
Periodica Mathematica Hungarica Vol. 45 (2002), 1-13.   [ doi ]
28. On axioms for commutative regular equations without addition (with S. Crvenković).
Theoretical Computer Science Vol. 289 (2002), 531-551.   [ doi ]
27. A note on square extensions of bands.
Novi Sad Journal of Mathematics Vol. 32, No. 1 (2002), 159-166.   [ pdf ]
26. Finite semigroups with slowly growing pn-sequences. II.
Acta Scientiarum Mathematicarum (Szeged) Vol. 68 (2002), 83-94.   [ link ]

2001

25. From twists to involution bands.
Filomat Vol. 15 (2001), 7-16.   [ pdf ]
24. Subdirectly irreducible bands with involution.
Acta Scientiarum Mathematicarum (Szeged) Vol. 67 (2001), 535-554.   [ link ]
23. Involution semigroups are not globally determined (with S. Crvenković and M. Vinčić).
Semigroup Forum Vol. 62 (2001), 477-481.   [ link ]
22. On the lattice of varieties of involution semigroups.
Semigroup Forum Vol. 62 (2001), 438-459.   [ link ]
21. On equations for union-free regular languages (with S. Crvenković and Z. Ésik).
Information and Computation Vol. 164 (2001), 152-172.   [ doi ]
20. The Berman conjecture is true for finite surjective semigroups and their inflations
(with S. Crvenković and N. Ruškuc).
Semigroup Forum Vol. 62 (2001), 103-114.   [ link ]
19. Finite semigroups with few term operations (with S. Crvenković and N. Ruškuc).
Journal of Pure and Applied Algebra Vol. 157 (2001), 205-214.   [ doi ]

2000

18. On Kleene algebras of ternary co-relations.
Acta Cybernetica Vol. 14 (2000), 583-595.   [ pdf ]
17. Minimal varieties of semirings with involution.
Algebra Universalis Vol. 44 (2000), 143-151.   [ doi ]
16. All varieties of normal bands with involution.
Periodica Mathematica Hungarica Vol. 40 (2000), 109-122.    [ doi ]
15. Remarks on varieties of involution bands.
Communications in Algebra Vol. 28 (2000), 2837-2852.   [ doi ]
14. Equational bases for some 0-direct unions of semigroups (with S. Crvenković and M. Vinčić).
Studia Scientiarum Mathematicarum Hungarica Vol. 36 (2000), 423-431.   [ doi ]
13. Finite semigroups with slowly growing pn -sequences (with S. Crvenković).
Algebra Universalis Vol. 43 (2000), 259-268.   [ doi ]
12. Separability and decidability results for varieties of Jónsson dynamic algebras (with S. Crvenković).
Algebra Universalis Vol. 43 (2000), 79-97.   [ doi ]
11. Notes on the number of operations of finite semigroups (with S. Crvenković and N. Ruškuc).
Acta Scientiarum Mathematicarum (Szeged) Vol. 66 (2000), 23-31.   [ link ]
10. The variety of Kleene algebras with conversion is not finitely based (with S. Crvenković and Z. Ésik).
Theoretical Computer Science Vol. 230 (2000), 235-245.   [ doi ]

1999

9. A note on equations for commutative regular languages (with S. Crvenković and Z. Ésik).
Information Processing Letters Vol. 70 (1999), 265-267.   [ doi ]
8. A survey of algebra of tournaments (with S. Crvenković and P. Marković).
In: Proceedings of the 8th International Conference "Algebra & Logic" (Novi Sad, 1998)
(eds. S. Crvenković, I. Dolinka). Novi Sad Journal of Mathematics Vol. 29, No. 2 (1999), 95-130.   [ pdf ]
7. Decidability problems for the variety generated by tournaments (with S. Crvenković and P. Marković).
In: Proceedings of the 8th International Conference "Algebra & Logic" (Novi Sad, 1998)
(eds. S. Crvenković, I. Dolinka). Novi Sad Journal of Mathematics Vol. 29, No. 2 (1999), 85-93.   [ pdf ]
6. A characterization of groups in the class of *-regular semigroups.
Novi Sad Journal of Mathematics Vol. 29, No. 1 (1999), 215-219.   [ pdf ]
5. Log-maximal finite semigroups do not exist.
Filomat Vol. 13 (1999), 25-29.   [ pdf ]

1998

4. Undecidable varieties with solvable word problems - III (A semigroup variety) (with S. Crvenković).
Novi Sad Journal of Mathematics Vol. 28, No. 2 (1998), 109-117.   [ pdf ]
3. A variety with undecidable equational theory and solvable word problem (with S. Crvenković).
International Journal of Algebra and Computation Vol. 8 (1998), 625-630.   [ doi ]

1996

2. Undecidable varieties with solvable word problems - II (with S. Crvenković).
Novi Sad Journal of Mathematics Vol. 26, No. 2 (1996), 21-30.   [ pdf ]
1. Undecidable varieties with solvable word problems - I (with S. Crvenković).
Facta Universitatis (Niš), Series Mathematics and Informatics Vol. 11 (1996), 1-8.   [ pdf ]

Editorials

3. Preface (with P. Marković). Proceedings of the 3rd Novi Sad Algebraic Conference (Novi Sad, 2009). Novi Sad Journal of Mathematics Vol. 40, No. 3 (2010), 1-2.   [ pdf ]
2. Preface (with A. Tepavčević). Proceedings of the Novi Sad Algebraic Conference (Novi Sad, 2003). Novi Sad Journal of Mathematics Vol. 34, No. 2 (2004), i   [ pdf ]
1. Preface (with S. Crvenković). Proceedings of the 8th International Conference "Algebra & Logic"
(Novi Sad, 1998). Novi Sad Journal of Mathematics Vol. 29, No. 2 (1999), i-ii.   [ pdf ]

Books (in Serbian)

3. A Brief Introduction to Analysis of Algorithms.
University of Novi Sad, 2008.
2. Elementary Number Theory: My Favourite Problems.
Mathematical Society of Serbia, Belgrade, 2007.
1. Selected Topics in General Algebra: Groups, Rings, Fields, Lattices
(with S. Crvenković and R.Sz. Madarász).
University of Novi Sad, 1998.

Updated: Feb 3, 2012.