1. On the embedding of ordered semigroups into ordered group
- Creator:
- Ibrahim, Mohammed Ali Faya
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- semicommutative semigroups, maher semigroups, and ordered semigroups
- Language:
- English
- Description:
- 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 group.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public