Results 201 to 210 of about 881 (228)

On varieties of ordered semigroups

Semigroup Forum, 2014
As we know by \textit{G. Birkhoff} [Lattice theory. Third (new) ed. Providence: AMS (1967; Zbl 0153.02501)], there is a one-to-one correspondence between all varieties of semigroups and all fully invariant congruences on \(X^+\), where \(X=\{x_1, x_2,x_3,\ldots\}\).
openaire   +1 more source

Decompositions and Pseudo-orders of Ordered Semigroups

Semigroup Forum, 2004
Let \((S,\cdot,\leq)\) be a partially ordered semigroup. A semilattice congruence \(\eta\) on \((S,\cdot)\) is called ``natural ordered'' if \(a\leq b\) \((a,b\in S)\) implies \(ab \eta a\). Following \textit{N. Kahayopulu} and \textit{M. Tsingelis} [Semigroup Forum 50, 392--398 (1995; Zbl 0828.06010)] a binary relation \(\omega\) on \(S\) is called ...
openaire   +1 more source

Semigroup Algebras and Maximal Orders

Canadian Mathematical Bulletin, 1999
AbstractWe describe contracted semigroup algebras ofMalcev nilpotent semigroups that are prime Noetherian maximal orders.
Jespers, Eric, Okninski, J.
openaire   +3 more sources

On ordered $Γ$-semigroups ($Γ$-semigroups)

2014
We add here some further characterizations to the characterizations of strongly regular ordered $Γ$-semigroups already considered in Hacettepe J. Math. 42 (2013), 559--567. Our results generalize the characterizations of strongly regular ordered semigroups given in the Theorem in Math. Japon. 48 (1998), 213--215, in case of ordered $Γ$-semigroups.
openaire   +1 more source

Orders in completely regular semigroups

Mathematika, 2001
A classic theorem of semigroup theory is that a semigroup \(S\) has a group of quotients if and only if it is reversible and cancellative. From the perspective of the group, it contains \(S\) as an ``order''. Generalizing from both this situation and from ring theory, a semigroup \(S\) is an order in another semigroup \(Q\) if every element in \(Q ...
openaire   +2 more sources

Inverse transversal of ordered semigroups

Asian-European Journal of Mathematics
In this paper, we introduce the concept of an inverse transversal for regular ordered semigroups and explore several properties of such inverse transversals. Specifically, we investigate inverse transversals in certain special classes of regular ordered semigroups, such as completely regular ordered semigroups, Clifford ordered semigroups, and group ...
P. K. Minnumol, P. G. Romeo
openaire   +1 more source

Chain decompositions of ordered semigroups

Semigroup Forum, 2002
A partially ordered (p.o.) semigroup \((S,\cdot ,\leq)\) is called a natural ordered semilattice, in particular, chain \(Y\) of subsemigroups \(S_\alpha \), \((\alpha\in Y)\) if \(a\leq b\), \(a\in S_\alpha\), \(b\in S_\beta\) imply that \(\alpha\leq \beta\) in \(Y\).
openaire   +2 more sources

On An Ordered Semigroup

Journal of the London Mathematical Society, 1953
openaire   +2 more sources

Maximal Ordered Groupoids and a Galois Correspondence for Inverse Semigroup Orthogonal Actions

Applied Categorical Structures, 2023
Wesley G Lautenschlaeger, Thaisa Tamusiunas   +1 more
exaly  

On the Variety of Semilattice-Ordered Semigroup Satisfying X + yxz ≈ X

Smart Innovation, Systems and Technologies, 2023
exaly