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 2022-06-01 to 2026-06-01.)

Article	Citations
Broken Möbius categories of $$Q_{3}$$-type and their split inverse semigroups	11
Characterization of Orlicz admissibility	10
Green’s relations on the variant semigroups of all transformations of a set that reflect an equivalence	9
Arf numerical semigroups with prime multiplicity	7
On conductor submonoids of factorial monoids	7
The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces	7
Book review of “Ideal Theory of Commutative Rings and Monoids” by Franz Halter-Koch	6
Joint continuity in semitopological monoids and semilattices	6
The monoid of all orientation-preserving and extensive partial transformations on a finite chain	6
Cartesian products of two CR sets	6
Some nil-ai-semiring varieties	5
Minimal generating set of the semigroup of partitioned binary relations	5
Tropical representations and identities of the stylic monoid	5
An application of generalised limits to obtain continuous- from discrete time dilations	5
Some properties of monoids with infinity	5
Subsemigroup of $$T_n$$ assigned to a fixed point free permutation	5
On the atomic structure of torsion-free monoids	5
Rates of decay for locally damped porous-elastic systems with history via operator semigroups	4
Weakly right coherent monoids	4
Minimal polynomial decomposition of plane curve branch truncation using a semigroup based algorithm	4
Laws for generalised interior operations in semigroups	4
Arens regularity for totally ordered semigroups	4
Affine semigroups of maximal projective dimension-II	3
Partition algebras as monoid algebras	3
Pettis-integration approach for characterizing almost periodic functions and flows	3

From plactic monoids to hypoplactic monoids	3
An answer to Goswami’s question and new sources of $$IP^{\star }$$-sets containing combined zigzag structure	3
A purely algebraic proof of the omega-reducibility of pseudovarieties representing low half levels of concatenation hierarchies	3
Set-theoretic solutions of the Yang–Baxter equation associated to weak left $$\star $$-braces	3
The finite basis problem for additively idempotent semirings of order four, III	3
Topological sensitivity for semiflow	3
Large sets near idempotent and its product	3
Inverse Sets and Inverse Correspondences over Inverse Semigroups	3
Probabilizing semigroups???	3
Free 2-generated band in $$\beta \mathbb {N}$$	3
On semibiproducts of magmas and semigroups	3
The Frobenius problem for numerical semigroups generated by sequences of the form $$ca^n-d$$	3
Elements with unique length factorization of a numerical semigroup generated by three consecutive numbers	2
Power-like maps in n-abelian semigroups	2
The André–Quillen cohomology of commutative monoids	2
Multi-sensitivity with respect to a vector for semiflows defined on Hausdorff uniform spaces	2
Algebraic magnetism invariants of self-actions of diagonalizable monoid schemes	2
Prime L-algebras and right-angled Artin groups	2
Variational principles for topological invariance entropy of semigroup actions	2
On semidirect products of quantale enriched monoids	2
Inductive limits of partial crossed products	2
On the computation of the MED closure of a numerical semigroup	2
Idempotent pseudo-uninorms on special bounded lattices	2
New methods to construct uninorms on bounded lattices via uninorms defined on their sublattices	2
Orthodox ordered semigroups	2
Grammic monoids with three generators	2
Semiprime ideals and prime segments of ordered ternary semigroups	2
Biunit pairs in semiheaps and associated semigroups	2
Translation operators on topological groupoids with their applications	2
Combinatorially rich sets in arbitrary semigroups	2
Free strict n-tuple semigroups	2
On the strong Feller property of the heat equation on quantum graphs with Kirchhoff noise	2
On the first order theory of plactic monoids	2
New models for the free commutative monogenic trioid and its endomorphism monoid	2
A note on Garside monoids and $${\mathscr {M}}$$-braces	2
Homomorphism-homogeneous normal bands	2
Atomic density of arithmetical congruence monoids	2
Commutators in completely simple semigroups	2
Inverse Artin monoids and partial braid realizations	2
Strongly Kreiss bounded operators in UMD Banach spaces	2
Semirigidity and the enumeration of nilpotent semigroups of index three	2
Matrix groups and regular semigroups	2
On the infinitesimal generator of an optimal state semigroup	2
Ehresmann–Schein–Nambooripad theorems for classes of biunary semigroups	2
On E-unitary (left regular) bands of groups	2
Combinatorial results for semigroups of orientation-preserving and order-decreasing transformations	2
Publisher Correction to: Variational principle for BS-dimension of subsets of finitely generated free semigroup actions	1
Irreducibility of Arf numerical semigroups	1
Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set	1
A local treatment of finite alignment and path groupoids of nonfinitely aligned higher-rank graphs	1

Thin MC left regular bands	1
i-Fitting-Formations on Inverse Semigroups	1
Semiring identities of finite inverse semigroups	1
Beyond wreath and block	1
On groupoids associated with involution semigroups	1
An extension of Kannappan’s functional equation on semigroups	1
Spectral properties of locally eventually positive operator semigroups	1
A defining equation and reflective subcategories of quasicontinuous complete semilattices	1
Subfitness in distributive (semi)lattices	1
Non-archimedean topological monoids	1
Power graphs of completely regular semigroups	1
On existence of invariant means on admissible function spaces of a semidirect product of topological semigroups	1
A collection of cancellative, singly aligned, non-group embeddable monoids	1
Finite regular semigroups with permutations that map elements to inverses	1
Non-finitely related and finitely related monoids	1
Outer inverses belonging to the prescribed Green’s equivalence classes in an involutive semigroup	1
On gonality and canonical models of unicuspidal rational curves	1
Spectral analysis and best decay rate of the wave propagator on the tadpole graph	1
Stability of coupled wave equations with variable coefficients, localised Kelvin–Voigt damping and time delay	1
Correction: Infinite chains in the tree of numerical semigroups	1
Van Vleck’s and Kannappan’s functional equations for division ring-valued functions	1
The natural partial order on semigroups of transformations with restricted range that preserve an equivalence	1
On splittings and integration of almost periodic functions with and without geometry	1
Infinite chains in the tree of numerical semigroups	1
Quantum extensions of classical Jacobi semigroups	1
On certain semigroups of transformations whose restrictions belong to a given semigroup	1
A class of join-completions of partially ordered semigroups	1
A note on Wilf’s Conjecture	1
On the structure of semigroups whose regular elements are completely regular	1
Zigzag structures in IP* sets	1
Connected objects in categories of S-acts	1
On the ranks of certain subsemigroups of finite orientation-preserving and order-decreasing partial transformations	1
Nilpotent groups, solvable groups and factorizable inverse monoids	1
Descending chains of varieties of completely regular semigroups	1
Definability of band structures on posets	1
Formations of inverse semigroups	1
Principal ideals in a plactic monoid always intersect	1
Difference of Hilbert series of homogeneous monoid algebras and their normalizations	1
Publisher Correction: On the algebraic invariants of certain affine semigroup rings	1
Globalizations of strong partial acts over monoids	1
Finitely and non-finitely related words	1
Thick sets are exactly the sets with Følner density 1	1
Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups	1
Irreducible unipotent numerical monoids	1
Globalization of partial actions of semigroups	1
Homeomorphism groups on the positive real numbers defined by binary operations	1
Author Correction: Joint continuity in semitopological monoids and semilattices	1
Semigroup algebras which are Azumaya algebras	1
Algebraic lattices and lattices of subalgebras	1
Dynamical systems arising by iterated functions on arbitrary semigroups	1
The Frobenius problem over number fields with a real embedding	1
Regular semigroups weakly generated by set	1
On commutative set-theoretic solutions of the Pentagon Equation	1
Almost periodicity for some nonautonomous evolution equations with nondense domain: application to some epidemic models	1
On the solvability of fourth-order boundary value problems with accretive operators	1