Results 41 to 50 of about 122,444 (130)
Lattice isomorphisms of orthodox semigroups [PDF]
Bulletin of the Australian Mathematical Society, 1992 It is shown that the set of all orthodox subsemigroups of an orthodox semigroup forms a lattice. This lattice is a join-sublattice of the lattice of all semigroups, but is not in general a meet-sublattice. We obtain results concerning lattice isomorphisms between orthodox semigroups, several of which include known results for inverse semigroups as ...
Katherine G. Johnston, F.D. Cleary
openaire +2 more sources
Further results on monoids acting on trees
, 2011 This paper further develops the theory of arbitrary semigroups acting on trees via elliptic mappings. A key tool is the Lyndon-Chiswell length function L for the semigroup S which allows one to construct a tree T and an action of S on T via elliptic maps.
Rhodes, John, Silva, Pedro V.
core +1 more source
Unit-regular orthodox semigroups [PDF]
Glasgow Mathematical Journal, 1984 Unit-regular rings were introduced by Ehrlich [4]. They arose in the search for conditions on a regular ring that are weaker than the ACC, DCC, or finite Goldie dimension, which with von Neumann regularity imply semisimplicity. An account of unit-regular rings, together with a good bibliography, is given by Goodearl [5].
openaire +2 more sources
, 2015 We solve the word problem for the free objects in the variety consisting of bands with a semilattice transversal.
Albert, Justin, Pastijn, Francis
core +1 more source
Quivers of monoids with basic algebras
, 2011 We compute the quiver of any monoid that has a basic algebra over an algebraically closed field of characteristic zero. More generally, we reduce the computation of the quiver over a splitting field of a class of monoids that we term rectangular monoids (
Aguiar +27 more
core +1 more source
Quasi-abelian and quasi-solvable regular semigroups
Le Matematiche, 1996 In this note quasi-abelian semigroups are studied and it is proved that they form an e-variety of orthodox semigroups. More, quasi-abelian regular Bruck-Reilly monoids are characterized as extensions of monoids which are (reverse) semidirect products of ...
Brunetto Piochi
doaj
The isomorphism problem for orthodox semigroups [PDF]
Pacific Journal of Mathematics, 1989 The author's structure theorem for orthodox semigroups [ibid. 39, 677-686 (1971; Zbl 0232.20124)] produced an orthodox semigroup \({\mathcal H}(E,T,\psi)\) from a band \(E\), an inverse semigroup \(T\) and a morphism \(\psi\) between two inverse semigroups, namely \(T\) and \(W_ E/\gamma\), an inverse semigroup constructed from \(E\).
openaire +3 more sources
Semigroups whose idempotents form a subsemigroup [PDF]
, 1992 We prove that every semigroup S in which the idempotents form a subsemigroup has an E-unitary cover with the same property. Furthermore, if S is E-dense or orthodox, then its cover can be chosen with the same property. Then we describe the structure of E-
Almeida, Jorge +2 more
core +1 more source
Some Classes Of Semigroups That Have Medial Idempotent And Some Construction Theorem [PDF]
, 2013 It's known that the set of idempotents of the semigroup, plays an important role forthe structure of this semigroup. Specially, in the regular semigroups, an importantrole plays presence of the medial idempotent and normal medial idempotent.Blyth,T.
Edmond Pİ, Osman HYSA
core
On the variety of strict pseudosemilattices
, 2013 A new model, in terms of finite bipartite graphs, of the free pseudosemilattice is presented. This will then be used to obtain several results about the variety SPS of all strict pseudosemilattices: (i) an identity basis for SPS is found, (ii) SPS is ...
Auinger, K., Oliveira, L.
core +1 more source