Results 101 to 110 of about 135 (131)
Some of the next articles are maybe not open access.
THE NATURAL PARTIAL ORDER ON SOME TRANSFORMATION SEMIGROUPS
Bulletin of the Australian Mathematical Society, 2013AbstractFor a semigroup $S$, let ${S}^{1} $ be the semigroup obtained from $S$ by adding a new symbol 1 as its identity if $S$ has no identity; otherwise let ${S}^{1} = S$. Mitsch defined the natural partial order $\leqslant $ on a semigroup $S$ as follows: for $a, b\in S$, $a\leqslant b$ if and only if $a= xb= by$ and $a= ay$ for some $x, y\in {S}^{1}
Chaopraknoi, Sureeporn +2 more
openaire +2 more sources
Partial orders on linear transformation semigroups
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2005Let V be any vector space and P(V) the set of all partial linear transformations defined on V, that is, all linear α: A → B, where A, B are subspaces of V. Then P(V) is a semigroup under composition, which is partially ordered by ⊆ (that is, α ⊆ β if and only if dom α ⊆ dom β and α = β | dom α). We compare this order with the so-called 'natural partial
openaire +2 more sources
The Natural Partial Order on Regular $$\Gamma $$ Γ -Semigroups
Bulletin of the Malaysian Mathematical Sciences Society, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chunse, N., Siripitukdet, M.
openaire +1 more source
On partially ordered semigroups of relations with domino operations
Semigroup Forum, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
A Natural Partial Order on Partition Order-Decreasing Transformation Semigroups
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Quasiresiduals in Semigroups with Natural Partial Order
Algebra Colloquium, 2017A semigroup (S, ·) is called right (left) quasiresiduated if for any a, b in S there exists x in S such that ax ≤S b (xa ≤S b) with respect to the natural partial order ≤S of S. This concept has its origin in the theory of residuated semigroups, but can also be seen as a generalization of the right (left) simplicity of semigroups.
openaire +1 more source
On residuals in partially ordered semigroups
Publicationes Mathematicae Debrecen, 2022openaire +1 more source
Classes of semigroups with compatible natural partial order. I.
Mathematica Pannonica, 2011Summary: In this survey we find new semigroups and collect all semigroups known up to now that have a right (two-sided) compatible natural partial order. In this first part trivially, resp. totally, ordered semigroups are considered and semigroups in special classes -- in particular (E-)medial semigroups -- with this property are studied.
openaire +4 more sources
Reduced Inverse and Partially Ordered Semigroups
Journal of the London Mathematical Society, 1974openaire +1 more source