Semigroups with midunits-Reference-Cited by-同舟云学术

Semigroups with midunits

Published:1974 Issue:0 Volume:190 Page:375-384
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ault Janet E.

Abstract

A semigroup has a midunit u if a u b = a b aub = ab for all a and b. It is the purpose of this paper to explore semigroups with midunits, and to find an analog to the group of units. In addition, two constructions will be given which produce some semigroups with midunits, and an abstract characterization will be made of certain of these semigroups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1974-190-00/S0002-9947-1974-0340456-5/S0002-9947-1974-0340456-5.pdf

Reference11 articles.

1. An embedding theorem for weakly inverse semigroups;Brown, M. R.;Semigroup Forum,1971

2. Mathematical Surveys, No. 7;Clifford, A. H.,1961

3. On regular semigroups whose idempotents form a subsemigroup;Hall, T. E.;Bull. Austral. Math. Soc.,1969

4. The structure of inverse ideal-simple 𝑜𝑚𝑒𝑔𝑎-semigroups;Kočin, B. P.;Vestnik Leningrad. Univ.,1968

5. A generalization of the Rees theorem in semigroups;Lallement, Gérard;Acta Sci. Math. (Szeged),1969

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