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 2021-04-01 to 2025-04-01.)

Article	Citations
Trace- and pseudo-products: restriction-like semigroups with a band of projections	10
Tropical representations and identities of the stylic monoid	10
Broken Möbius categories of $$Q_{3}$$-type and their split inverse semigroups	10
Independence of axioms of an associative trioid	9
Toposes for semigroups: an invitation	8
The word problem for $$\kappa $$-terms over the pseudovariety of local groups	8
Semiring identities of finite inverse semigroups	7
Weakly invariant fuzzy quasi-pseudometrics on semigroups	6
Ternary rings of operators arising from inverse semigroups	6
The inheritance of symmetry conditions in commutative semigroup cohomology	6
On the ranks of certain subsemigroups of finite orientation-preserving and order-decreasing partial transformations	5
Force recurrence of semigroup actions	5
A remark on contracting inverse semigroups	5
Strongly Kreiss bounded operators in UMD Banach spaces	5
Arithmetic of additively reduced monoid semidomains	5
Green’s relations on the variant semigroups of all transformations of a set that reflect an equivalence	5
The monoid of all orientation-preserving and extensive partial transformations on a finite chain	4
An algebraic characterisation of ample type I groupoids	4
On the monoid of order-preserving transformations of a finite chain whose ranges are intervals	4
Elaborating the word problem for free idempotent-generated semigroups over the full transformation monoid	4
Growth of orbits for operator semigroups on Banach spaces with Schauder bases	4
Prime L-algebras and right-angled Artin groups	4
The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces	4
On the class semigroup of root-closed weakly Krull Mori monoids	4
Thick sets are exactly the sets with Følner density 1	4

Arf numerical semigroups with prime multiplicity	4
Johnson pseudo-contractibility of certain semigroup algebras. II	4
Multi-sensitivity with respect to a vector for semiflows defined on Hausdorff uniform spaces	4
On the equivalence between the uniform exponential stability of a $$C_0$$-semigroup and the boundedness of the resolvent	4
Schur–Weyl dualities for the rook monoid: an approach via Schur algebras	3
Infinite chains in the tree of numerical semigroups	3
Van Vleck’s and Kannappan’s functional equations for division ring-valued functions	3
On the first order theory of plactic monoids	3
Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds	3
Characterization of Orlicz admissibility	3
The word problem for one-relation monoids: a survey	3
Biunit pairs in semiheaps and associated semigroups	3
On subamalgams of partially ordered monoids	3
Semiring identities of the semigroup $$B_0$$	3
Orientation-preserving and orientation-reversing mappings: a new description	3
Coefficient rings of numerical semigroup algebras	2
Endomorphisms and partial isomorphisms	2
Regular, unit-regular, and idempotent elements of semigroups of transformations that preserve a partition	2
Nearly Gorenstein local rings defined by maximal minors of a $$2 \times n$$ matrix	2
A tribute to Mario Petrich	2
Constructions of free dibands and tribands	2
Well-posedness and asynchronous exponential growth of an age-weight structured fish population model with nonautonomous past	2
Homomorphism-homogeneous normal bands	2
Cartesian products of two CR sets	2
Abstract differential equations and Caputo fractional derivative	2
Dynamical systems arising by iterated functions on arbitrary semigroups	2
New representations of algebraic domains and algebraic L-domains via closure systems	2
Two weaker variants of congruence permutability for monoid varieties	2
Boundedness of partial difference transforms for heat semigroups generated by discrete Laplacian	2
Hofmann–Mislove through the lenses of Priestley	2
Algebraic products of tensor products	2
Limit varieties of J-trivial monoids	2
Joint continuity in semitopological monoids and semilattices	2
Correction to: Numerical semigroups generated by primes	2
Finitely and non-finitely related words	2
A cluster algebra approach to presentations of the monoid of uniform block permutations	2
An application of generalised limits to obtain continuous- from discrete time dilations	2
Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set	2
Conditionally distributive uninorms locally internal on the boundary	2
Classification of finite structurally uniform nilsemigroups	2
A note on Garside monoids and $${\mathscr {M}}$$-braces	2
Abundance of the ideals of the order-preserving and decreasing full transformation semigroup	2
The André–Quillen cohomology of commutative monoids	1
On the Ellis semigroup of a discrete dynamical system ([0, 1], f)	1
Archimedean positively ordered semigroups with maximal elements	1
Some nil-ai-semiring varieties	1
Remark on the identities of the grammic monoid with three generators	1
Cyclotomic numerical semigroup polynomials with at most two irreducible factors	1
Special idempotents and projections	1
On splittings and integration of almost periodic functions with and without geometry	1

On the atomic structure of torsion-free monoids	1
The ideal duplication	1
Minimal generating set of the semigroup of partitioned binary relations	1
Publisher Correction: Minimal generating set of the semigroup of partitioned binary relations	1
A concept of largeness of combinatorially rich sets	1
Connected objects in categories of S-acts	1
Variational principle for BS-dimension of subsets of finitely generated free semigroup actions	1
Lattices of varieties of plactic-like monoids	1
Finite semigroups and periodic sums systems in $$\beta \mathbb {N}$$ and their Ramsey theoretic consequences	1
Publisher Correction to: On the semigroup of order-preserving partial isometries of a finite chain with restricted range	1
Pseudogroups and their torsors	1
A survey of Schreier-type extensions of monoids	1
Infinite sequences of almost symmetric non-Weierstrass numerical semigroups	1
Combinatorial results for semigroups of orientation-preserving and order-decreasing transformations	1
Representations and identities of Baxter monoids with involution	1
Spectrum and convergence of eventually positive operator semigroups	1
Set-theoretical solutions of the pentagon equation on Clifford semigroups	1
Completions of posemigroups by cuts and beyond	1
Scalable monoids and quantity calculus	1
New models for the free commutative monogenic trioid and its endomorphism monoid	1
Correction: Infinite chains in the tree of numerical semigroups	1
On covers of acts over monoids with condition $$(PF'')$$ and envelopes of S-acts	1
Numerical semigroups generated by quadratic sequences	1
Fibration mappings of topological left almost semigroups	1
Correction to: A simple proof of a multidimensional Borg–Levinson type theorem	1
Atomic density of arithmetical congruence monoids	1
Torsion factors of commutative monoid semirings	1
Subsemigroup of $$T_n$$ assigned to a fixed point free permutation	1
Semigroup algebras which are Azumaya algebras	1
Grammic monoids with three generators	1
Affine semigroups of maximal projective dimension-II	1
Identities of the stylic monoid	1
Spectral properties of locally eventually positive operator semigroups	1
Exponential stability of extensible beams equation with Balakrishnan–Taylor, strong and localized nonlinear damping	1
Set-theoretic solutions of the Yang–Baxter equation associated to weak braces	1
Asymptotic behavior of the overlap gap between infinite words	1
Semilattices of stratified extensions	1
HS-stability and complex products in involution semigroups	1
Correction to: Orientation preserving and orientation reversing mappings: a new description	1
Property A for hypergroups	1
Some properties of monoids with infinity	1
Strong atoms in monadically Krull monoids	1
On the globalization of geometric partial (co)modules in the categories of topological spaces and algebras	1