Results 91 to 100 of about 60,099 (181)
Jordan homomorphisms and T‐ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract Let A$A$ and B$B$ be associative algebras over a field F$F$ with char(F)≠2${\rm char}(F)\ne 2$. Our first main result states that if A$A$ is unital and equal to its commutator ideal, then every Jordan epimorphism φ:A→B$\varphi:A\rightarrow B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily
Matej Brešar, Efim Zelmanov
wiley +1 more source
, 1997 This chapter gives an overview on what is often called the algebraic theory of finite automata. It deals with languages, automata and semigroups, and has connections with model theory in logic, boolean circuits, symbolic dynamics and topology.
openaire +2 more sources
Portugaliae MathematicaRegular abelian semigroups are isomorphic to a direct product of an abelian group and a rectangular band (Warne, 1994). Seeking for a similar result for nilpotency, solvability, and supernilpotency of regular semigroups, we obtain that an analogous statement is true only in orthodox semigroups.
Jelena Radović, Nebojša Mudrinski
openaire +4 more sources
Ordered Regular Semigroups with Biggest Associates
Discussiones Mathematicae - General Algebra and Applications, 2019 We investigate the class BA of ordered regular semigroups in which each element has a biggest associate x† = max {y | xyx = x}. This class properly contains the class PO of principally ordered regular semigroups (in which there exists x⋆ = max {y | xyx ...
Blyth T.S., Santos M.H. Almeida
doaj +1 more source
Journal of the Australian Mathematical Society, 1972 The cancellation law is a necessary condition for a semigroup to be embedded in a group. In general, this condition is not sufficient; necessary and sufficient conditions are rather complicated (see [1]). It is, therefore, of interest to find large classes of semigroups for which the cancellation law is sufficient to ensure embeddability in a group.
openaire +1 more source
Representation of right zero semigroups and their semilattices by a transformation semigroup
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2022 Background. As is known, an arbitrary semigroup can be represented by a semigroup of transformations that are right shifts either in this semigroup itself or in the extended semigroup obtained from the original one by adding an outer unit. The problems
L.V. Zyablitseva +2 more
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, 2011 It has been well known that the band of idempotents of a naturally ordered orthodox semigroup satisfying the “strong Dubreil-Jacotin condition” forms a normal band.
Shouxu Du, Xinzhai Xu, K. P. Shum
doaj +1 more source
Stability of additive functional equation on discrete quantum semigroups [PDF]
Sahand Communications in Mathematical Analysis, 2017 We construct a noncommutative analog of additive functional equations on discrete quantum semigroups and show that this noncommutative functional equation has Hyers-Ulam stability on amenable discrete quantum semigroups.
Maysam Maysami Sadr
doaj
Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
europepmc +1 more source
Journal of Algebra, 1998 For a positive integer \(n\), let \(\Sigma_n\) denote the alphabet consisting of letters \(x_0,x_1,\dots,x_{n-1}\). A triple \((\alpha,\beta,\gamma)\) of words over \(\Sigma_n\) is allowable if \(\alpha\) is a prefix of \(\beta\) and \(\gamma\) is a suffix of \(\beta\). Let \((\alpha,\beta,\gamma)\) and \((\alpha',\beta',\gamma')\) be allowable triples
openaire +1 more source