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Igor Dolinka
Full
Professor
Department of Mathematics and Informatics
Faculty of Sciences, University of Novi Sad
Trg Dositeja Obradovića 4, 21101 Novi Sad, Serbia
E-mail: dockie AT dmi.uns.ac.rs
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Welcome to
my personal home page!
I am a Full Professor
of Mathematics in the Department
of Mathematics and Informatics of the Faculty
of Sciences at the University
of Novi Sad, where I am currently the head of the Algebra and Theoretical Computer Science
chair.
My research
interests are in algebra,
focused mainly on semigroups
and related chapters of group
theory, combinatorics, and
model
theory.
Selected
publications
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Product
decompositions of semigroups induced by action
pairs
(with S.
Carson, J.
East, V.
Gould, and R.
Zenab).
Dissertationes
Mathematicae Vol. 587 (2023), 1-180.
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Free
idempotent generated semigroups: The word problem
and structure via gain graphs.
Israel
Journal of Mathematics Vol. 245
(2021), 347-387.
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New
results on the prefix membership problem for
one-relator groups (with R.D.
Gray).
Transactions
of the American Mathematical Society Vol. 374
(2021), 4309-4358.
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A
group-theoretical interpretation of the word
problem for free idempotent generated semigroups
(with D. Yang and V.
Gould).
Advances
in Mathematics Vol. 345 (2019),
998-1041.
-
Twisted
Brauer monoids (with J.
East).
Proceedings
of the Royal Society of Edinburgh, Section A:
Mathematics Vol. 148 (2018),
731-750.
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On regularity and
the word problem for free idempotent generated
semigroups (with R.D. Gray and
N. Ruškuc).
Proceedings
of the London Mathematical Society Vol. 114
(2017), 401-432.
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Maximal
subgroups of free idempotent generated semigroups
over the full linear monoid (with R.D.
Gray).
Transactions
of the American Mathematical Society Vol. 366
(2014), 419-455.
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Matrix
identities involving multiplication and
transposition
(with K.
Auinger and M.V.
Volkov).
Journal
of the European Mathematical Society Vol. 14
(2012), 937-969.
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Further research-related
information
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In the current academic
year (2024/25) I teach the following courses:
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