Divisibility orders on semigroups. II.

Mitsch, H.

Displaying similar documents to “Divisibility orders on semigroups. II.”

On the embedding of ordered semigroups into ordered group

Mohammed Ali Faya Ibrahim (2004)

Czechoslovak Mathematical Journal

Similarity:

It was shown in [7] that any right reversible, cancellative ordered semigroup can be embedded into an ordered group and as a consequence, it was shown that a commutative ordered semigroup can be embedded into an ordered group if and only if it is cancellative. In this paper we introduce the concept of $L$ -maher and $R$ -maher semigroups and use a technique similar to that used in [7] to show that any left reversible cancellative ordered $L$ or $R$ -maher semigroup can be embedded into an ordered...

Totally ordered archimedean semigroups.

M. Satyanarayana (1979)

Semigroup forum

Similarity:

Generalized $F$ -semigroups

E. Giraldes, P. Marques-Smith, Heinz Mitsch (2005)

Mathematica Bohemica

Similarity:

A semigroup $S$ is called a generalized $F$ -semigroup if there exists a group congruence on $S$ such that the identity class contains a greatest element with respect to the natural partial order $\leq_{S}$ of $S$ . Using the concept of an anticone, all partially ordered groups which are epimorphic images of a semigroup $(S, \cdot, \leq_{S})$ are determined. It is shown that a semigroup $S$ is a generalized $F$ -semigroup if and only if $S$ contains an anticone, which is a principal order ideal of $(S, \leq_{S})$ . Also a characterization by means...