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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.
Also, since 2021, I am a
corresponding member of the Serbian
Academy of Sciences and Arts.
My research
interests are in algebra,
focused mainly on semigroups
and related chapters of group
theory, combinatorics, and
model
theory.
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Selected
publications
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On
right units of special inverse monoids (with R.D.
Gray).
Advances
in Mathematics (to appear).
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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.
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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 (2025/26) I teach the following courses:
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