OOIR: Observatory of International Research

Papers

(The TQCC of Semigroup Forum is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-12-01 to 2025-12-01.)

Article	Citations
Tropical representations and identities of the stylic monoid	10
Broken Möbius categories of $$Q_{3}$$-type and their split inverse semigroups	10
Orientation-preserving and orientation-reversing mappings: a new description	9
Joint continuity in semitopological monoids and semilattices	8
Characterization of Orlicz admissibility	7
On conductor submonoids of factorial monoids	6
Green’s relations on the variant semigroups of all transformations of a set that reflect an equivalence	6
Cartesian products of two CR sets	6
The monoid of all orientation-preserving and extensive partial transformations on a finite chain	6
Arf numerical semigroups with prime multiplicity	6
Book review of “Ideal Theory of Commutative Rings and Monoids” by Franz Halter-Koch	6
Subsemigroup of $$T_n$$ assigned to a fixed point free permutation	5
The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces	5
An application of generalised limits to obtain continuous- from discrete time dilations	5
Minimal generating set of the semigroup of partitioned binary relations	5
Correction to: A simple proof of a multidimensional Borg–Levinson type theorem	5
On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras	5
Set-theoretic solutions of the Yang–Baxter equation associated to weak braces	5
Some nil-ai-semiring varieties	4
Arens regularity for totally ordered semigroups	4
Inverse Sets and Inverse Correspondences over Inverse Semigroups	4
Some properties of monoids with infinity	4
Laws for generalised interior operations in semigroups	4
Rates of decay for locally damped porous-elastic systems with history via operator semigroups	4
On the atomic structure of torsion-free monoids	4

Property A for hypergroups	4
Minimal polynomial decomposition of plane curve branch truncation using a semigroup based algorithm	4
Weakly right coherent monoids	4
Distribution of genus among numerical semigroups with fixed Frobenius number	3
Editorial Note	3
The finite basis problem for additively idempotent semirings of order four, III	3
An answer to Goswami’s question and new sources of $$IP^{\star }$$-sets containing combined zigzag structure	3
Constructing uninorms via ordinal sums in the sense of A. H. Clifford	3
Affine semigroups of maximal projective dimension-II	3
On pure $$\kappa $$-sparse gapsets	3
Pettis-integration approach for characterizing almost periodic functions and flows	3
Well-posedness and stability results for some nonautonomous abstract linear hyperbolic equations with memory	3
A monoid structure on the set of all binary operations over a fixed set	3
Probabilizing semigroups???	3
Set-theoretic solutions of the Yang–Baxter equation associated to weak left $$\star $$-braces	3
Topological sensitivity for semiflow	3
Matrix groups and regular semigroups	2
On semidirect products of quantale enriched monoids	2
Algebraic magnetism invariants of self-actions of diagonalizable monoid schemes	2
Inverse Artin monoids and partial braid realizations	2
Idempotent pseudo-uninorms on special bounded lattices	2
On the first order theory of plactic monoids	2
Variational principles for topological invariance entropy of semigroup actions	2
Commutators in completely simple semigroups	2
On semibiproducts of magmas and semigroups	2
Large sets near idempotent and its product	2
The Frobenius problem for numerical semigroups generated by sequences of the form $$ca^n-d$$	2
Prime L-algebras and right-angled Artin groups	2
Grammic monoids with three generators	2
Translation operators on topological groupoids with their applications	2
On the computation of the MED closure of a numerical semigroup	2
Strongly Kreiss bounded operators in UMD Banach spaces	2
On the admissibility of observation operators for evolution families	2
Free strict n-tuple semigroups	2
Self-similar monoids related to Hahn groups	2
From plactic monoids to hypoplactic monoids	2
Combinatorially rich sets in arbitrary semigroups	2
Multi-sensitivity with respect to a vector for semiflows defined on Hausdorff uniform spaces	2
The André–Quillen cohomology of commutative monoids	2
Atomic density of arithmetical congruence monoids	2
Biunit pairs in semiheaps and associated semigroups	2
On E-unitary (left regular) bands of groups	2
Ehresmann–Schein–Nambooripad theorems for classes of biunary semigroups	2
On the infinitesimal generator of an optimal state semigroup	2
An Ehresmann-Schein-Nambooripad type theorem for DRC-semigroups	2
Quantum extensions of classical Jacobi semigroups	1
Power graphs of completely regular semigroups	1
Semiring identities of finite inverse semigroups	1
A defining equation and reflective subcategories of quasicontinuous complete semilattices	1
Van Vleck’s and Kannappan’s functional equations for division ring-valued functions	1

On the structure of semigroups whose regular elements are completely regular	1
Thin MC left regular bands	1
Semigroup algebras which are Azumaya algebras	1
Regular semigroups weakly generated by set	1
New models for the free commutative monogenic trioid and its endomorphism monoid	1
Non-finitely related and finitely related monoids	1
Combinatorial results for semigroups of orientation-preserving and order-decreasing transformations	1
$$({{\mathscr {F}}},{{\mathscr {G}}})$$-abundant semigroups	1
Homeomorphism groups on the positive real numbers defined by binary operations	1
A collection of cancellative, singly aligned, non-group embeddable monoids	1
Zigzag structures in IP* sets	1
Globalization of partial actions of semigroups	1
A survey of Schreier-type extensions of monoids	1
Algebraic lattices and lattices of subalgebras	1
On splittings and integration of almost periodic functions with and without geometry	1
Topological properties of the binary supremum function	1
Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set	1
Outer inverses belonging to the prescribed Green’s equivalence classes in an involutive semigroup	1
On the ranks of certain subsemigroups of finite orientation-preserving and order-decreasing partial transformations	1
Infinite chains in the tree of numerical semigroups	1
Various types of completeness in topologized semilattices	1
Beyond wreath and block	1
On groupoids associated with involution semigroups	1
The monoid of orientation-preserving k-extensive transformations	1
Subfitness in distributive (semi)lattices	1
Publisher Correction: On the algebraic invariants of certain affine semigroup rings	1
A note on Garside monoids and $${\mathscr {M}}$$-braces	1
Formations of inverse semigroups	1
Homomorphism-homogeneous normal bands	1
Almost periodicity for some nonautonomous evolution equations with nondense domain: application to some epidemic models	1
Publisher Correction to: Variational principle for BS-dimension of subsets of finitely generated free semigroup actions	1
Stability of coupled wave equations with variable coefficients, localised Kelvin–Voigt damping and time delay	1
Descending chains of varieties of completely regular semigroups	1
The natural partial order on semigroups of transformations with restricted range that preserve an equivalence	1
Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups	1
Finitely and non-finitely related words	1
Irreducible unipotent numerical monoids	1
Numerical semigroups generated by quadratic sequences	1
Irreducibility of Arf numerical semigroups	1
Connected objects in categories of S-acts	1
A class of join-completions of partially ordered semigroups	1
Abundance of the ideals of the order-preserving and decreasing full transformation semigroup	1
Correction: Infinite chains in the tree of numerical semigroups	1
Mid-reversibility properties of semigroup actions on homogeneous spaces	1
An algebraic characterisation of ample type I groupoids	1
Spectral properties of locally eventually positive operator semigroups	1
Non-archimedean topological monoids	1
Author Correction: Joint continuity in semitopological monoids and semilattices	1
Finite regular semigroups with permutations that map elements to inverses	1
Power-like maps in n-abelian semigroups	1
Spectral analysis and best decay rate of the wave propagator on the tadpole graph	1
Globalizations of strong partial acts over monoids	1
An extension of Kannappan’s functional equation on semigroups	1
Nilpotent groups, solvable groups and factorizable inverse monoids	1
Thick sets are exactly the sets with Følner density 1	1
On certain semigroups of transformations whose restrictions belong to a given semigroup	1
The Frobenius problem over number fields with a real embedding	1
Principal ideals in a plactic monoid always intersect	1
i-Fitting-Formations on Inverse Semigroups	1
Comments on “Semigroups of transformations whose restrictions belong to a given semigroup”	1
Dynamical systems arising by iterated functions on arbitrary semigroups	1