Results 191 to 200 of about 354,394 (221)

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 \(X=\{x_1, x_2,x_3,\ldots\}\).
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ON ORDERED SEMIGROUPS WHICH ARE SEMILATTICES OF (0, n) -SIMPLE ORDERED SEMIGROUPS

Far East Journal of Mathematical Sciences (FJMS), 2016
Summary: We introduce the notions of a semilattice and also that of a complete semilattice of an \((m,n)\)-simple ordered semigroup, where \(m\) and \(n\) are non-negative integers. Conditions to ensure an ordered semigroup to be a semilattice of \((0,n)\)-simple ordered semigroups have been provided in case \(n\) is at least 2.
Luangchaisri, Panuwat, Changphas, Thawhat   +1 more
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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.
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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 ...
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OnP-Q ordered semigroups

Periodica Mathematica Hungarica, 1994
A partially ordered semigroup \(S\) is called P-ordered if for any \(a,b \in S\), \(ab \geq b\). The semigroup \(S\) is called Q-ordered if \(a \leq b\) implies \(a = b\) or \(b = ac\) for some \(c \in S\). These are the duals of N- M-ordered semigroups [in \textit{S. Y. Kwan} and \textit{K. P. Shum}, Semigroup Forum 19, 151-175 (1980; Zbl 0438.06010)].
Gao, Z., Shum, K. P.
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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 ...
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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
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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.
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Orders in Strict Regular Semigroups

Monatshefte f�r Mathematik, 2000
A subsemigroup \(S\) of a semigroup \(Q\) is an order in \(Q\) if for every \(q\in Q\) there are \(a,b,c,d\in S\) such that \(q=a^{-1}b=cd^{-1}\), where \(a\) and \(d\) are contained in maximal subgroups of \(Q\) and \(a^{-1}\) and \(d^{-1}\) are group inverses; \(Q\) is then called a semigroup of quotients of \(S\).
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On An Ordered Semigroup

Journal of the London Mathematical Society, 1953
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