Results 31 to 40 of about 235 (167)
Rationality, irrationality, and Wilf equivalence in generalized factor order [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Let $P$ be a partially ordered set and consider the free monoid $P^{\ast}$ of all words over $P$. If $w,w' \in P^{\ast}$ then $w'$ is a factor of $w$ if there are words $u,v$ with $w=uw'v$. Define generalized factor order on $P^{\ast}$ by letting $u \leq
Sergey Kitaev +3 more
doaj +1 more source
Divisorial Elements in Lattice-Ordered Monoids
Semigroup Forum, 2005 Let S be a commutative lattice-ordered monoid that is conditionally complete and admits residuals. Imitating the definition of divisorial ideals in commutative ring theory, we study divisorial elements in S. The archimedean divisorial elements behave especially nicely. We establish a Galois correspondence of the divisorial elements in a finite interval.
Fuchs, L +3 more
openaire +2 more sources
Semi-Baer and Semi-Quasi Baer Properties of Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchLet R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of semi-Baer and semi-quasi Baer rings were introduced by Waphare and Khairnar as extensions ...
Mostafa Hamam +2 more
doaj +1 more source
Galois orders in skew monoid rings
Journal of Algebra, 2010 The paper deals with ring extensions \(\Gamma\subset U\) of an integral domain \(\Gamma\), in particular, a general class of subrings of invariants in twisted Galois semigroup rings which the authors call Galois orders. The study of such Galois orders is inspired by the authors' previous work on Harish-Chandra categories [Fibers of characters in Harish-
Futorny, Vyacheslav, Ovsienko, Serge
openaire +2 more sources
On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Mathematica Slovaca, 2014 Abstract An ordered monoid S in which every principal left ideal, regarded as an S-poset, is projective is called an ordered left PP monoid, for short, an ordered lpp monoid. In this paper, we introduce a new kind of ordered relations instead of Green relations adopted by J. B. Fountain, ordered lpp monoids are described by these ordered
openaire +1 more source
Context‐free graphs and their transition groups
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Generalized Baеr and Generalized Quasi-Baеr Properties of Skеw Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific ResearchLet R be a ring with identity, (S,≤) an ordered monoid, ω:S→End(R) a monoid homomorphism, and A=R[[S,ω]] the ring of skew generalized power series. The concepts of generalized Baer and generalized quasi-Baer rings are generalization of Baer and quasi ...
Refaat Salem +2 more
doaj +1 more source
Injective positively ordered monoids II
Journal of Pure and Applied Algebra, 1992 We continue in this paper the study of positively ordered monoids (POMs) initiated in "Injective positively ordered monoids I". We prove that injective POMs are the retracts of the powers of $[0,\infty ]$. We also characterize the natural POM-homomorphism from a given refinement POM to its bidual, with, for example, applications to decomposition spaces.
openaire +5 more sources
Representable semilattice-ordered monoids [PDF]
Algebra universalis, 2007 We show that no finite set of first-order axioms can define the class of representable semilattice-ordered monoids.
Robin Hirsch, Szabolcs Mikulás
openaire +1 more source