166 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of BelgradeRS39 papers
- Ghent UniversityBE27 papers
- Serbian Academy of Sciences and ArtsRS27 papers
- BioSense InstituteRS20 papers
- Mathematical Institute of the Serbian Academy of Sciences and Arts19 papers
- Ss. Cyril and Methodius University in SkopjeMK18 papers
- University of OxfordGB15 papers
- High Energy Accelerator Research OrganizationJP13 papers
- University of LisbonPT13 papers
- University of WarwickGB13 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Fermi National Accelerator LaboratoryUS12 papers
22 papers · 1 filter
Semiring and involution identities of powers of inverse semigroups
Igor Dolinka, Sergey V. Gusev, Mikhail V. Volkov
The set of all subsets of any inverse semigroup forms an involution semiring under set-theoretical union and element-wise multiplication and inversion. We find structural condition…
Universal locally finite maximally homogeneous semigroups and inverse semigroups
Igor Dolinka, Robert D. Gray
In 1959, P. Hall introduced the locally finite group , today known as Hall's universal group. This group is countable, universal, simple, and any two finite isomorphic…
Solving linear equations by fuzzy quasigroups techniques
Aleksandar Krapež, Branimir Šešelja, Andreja Tepavčević
We deal with solutions of classical linear equations ax=b and ya=b, applying a particular lattice valued fuzzy technique. Our framework is a structure with a binary operation (a gr…
Presentations for singular wreath products
Ying-Ying Feng, Asawer Al-Aadhami, Igor Dolinka +2
For a monoid and a subsemigroup of the full transformation semigroup , the wreath product is defined to be the semidirect product , with the coo…
The idempotent generated subsemigroup of the Kauffman monoid
Igor Dolinka, James East
We characterise the elements of the (maximum) idempotent generated subsemigroup of the Kauffman monoid in terms of combinatorial data associated to certain normal forms. We also ca…
Motzkin monoids and partial Brauer monoids
Igor Dolinka, James East, Robert D. Gray
We study the partial Brauer monoid and its planar submonoid, the Motzkin monoid. We conduct a thorough investigation of the structure of both monoids, providing information on norm…
Finite bands are finitely related
Igor Dolinka
We prove that every finite idempotent semigroup (band) is finitely related, which means that the clone of its term operations (i.e. operations induced by words) is determined by fi…
Idempotent rank in the endomorphism monoid of a non-uniform partition
Igor Dolinka, James East, James D. Mitchell
We calculate the rank and idempotent rank of the semigroup generated by the idempotents of the semigroup , which consists of all transformations of the finite set…
Semigroups of rectangular matrices under a sandwich operation
Igor Dolinka, James East
Let denote the set of all matrices over a field , and fix some matrix . An asso…
On regularity and the word problem for free idempotent generated semigroups
Igor Dolinka, Robert D. Gray, Nik Ruškuc
The category of all idempotent generated semigroups with a prescribed structure of their idempotents (called the biordered set) has an initial object called the f…
Variants of finite full transformation semigroups
Igor Dolinka, James East
The variant of a semigroup S with respect to an element a in S, denoted S^a, is the semigroup with underlying set S and operation * defined by x*y=xay for x,y in S. In this article…
Enumeration of idempotents in diagram semigroups and algebras
Igor Dolinka, James East, Athanasios Evangelou +4
We give a characterisation of the idempotents of the partition monoid, and use this to enumerate the idempotents in the finite partition, Brauer and partial Brauer monoids, giving…
Idempotent generation in the endomorphism monoid of a uniform partition
Igor Dolinka, James East
Denote by and the full transformation semigroup and the symmetric group on the set , and $\mathcal E_n=\{1\}\cup(\mathcal T_n\setminus…
Free idempotent generated semigroups and endomorphism monoids of free -acts
Igor Dolinka, Victoria Gould, Dandan Yang
The study of the free idempotent generated semigroup over a biordered set began with the seminal work of Nambooripad in the 1970s and has seen a recent revival…
Unary enhancements of inherently nonfinitely based semigroups
Karl Auinger, Igor Dolinka, Tatiana V. Pervukhina +1
We exhibit a simple condition under which a finite involutary semigroup whose semigroup reduct is inherently nonfinitely based is also inherently nonfinitely based as a unary semig…
Every group is a maximal subgroup of the free idempotent generated semigroup over a band
Igor Dolinka, Nik Ruškuc
Given an arbitrary group we construct a semigroup of idempotents (band) with the property that the free idempotent generated semigroup over has a maximal subgroup i…
Maximal subgroups of free idempotent generated semigroups over the full linear monoid
Igor Dolinka, Robert Gray
We show that the rank r component of the free idempotent generated semigroup of the biordered set of the full linear monoid of n x n matrices over a division ring Q has maximal sub…
A note on free idempotent generated semigroups over the full monoid of partial transformations
Igor Dolinka
Recently, Gray and Ruskuc (arXiv:1101.1833) proved that if e is a rank k idempotent transformation of the set {1,...,n} to itself and k<=n-2, then the maximal subgroup of the free…
A note on maximal subgroups of free idempotent generated semigroups over bands
Igor Dolinka
We prove that all maximal subgroups of the free idempotent generated semigroup over a band B are free for all B belonging to a band variety V if and only if V consists either of le…
A universality result for endomorphism monoids of some ultrahomogeneous structures
Igor Dolinka, Dragan Mašulović
We devise a fairly general sufficient condition ensuring that the endomorphism monoid of a countably infinite ultrahomogeneous structure (i.e. a Fra\"ıssé limit) embeds all countab…
The Bergman property for endomorphism monoids of some Fra\"ıssé limits
Igor Dolinka
Based on an idea of Y. Péresse and some results of Maltcev, Mitchell and Ruškuc, we present sufficient conditions under which the endomorphism monoid of a countably infinite ultrah…
Matrix identities involving multiplication and transposition
Karl Auinger, Igor Dolinka, Mikhail Volkov
We study matrix identities involving multiplication and unary operations such as transposition or Moore-Penrose inversion. We prove that in many cases such identities admit no fini…