Axioms for unary semigroups via division operations

Details Axioms for unary semigroups via division operations Axioms for unary semigroups via division operations

2010-03-31

arxiv.org/abs/1004.0007v1

Mathematics

Group Theory

17 pages

Scientific paper

When a semigroup has a unary operation, it is possible to define two binary operations, namely, left and right division. In addition it is well known that groups can be defined in terms of those two divisions. The aim of this paper is to extend those results to other classes of unary semigroups. In the first part of the paper we provide characterizations for several classes of unary semigroups, including (a special class of) E-inversive, regular, completely regular, inverse, Clifford, etc., in terms of left and right division. In the second part we solve a problem that was posed elsewhere. The paper closes with a list of open problems.

Affiliated with

Also associated with

No associations

Rating

Axioms for unary semigroups via division operations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Axioms for unary semigroups via division operations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Axioms for unary semigroups via division operations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-35155