Semigroups with midunits

Ault, Janet E.

doi:10.1090/S0002-9947-1974-0340456-5

Semigroups with midunits
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by Janet E. Ault

Trans. Amer. Math. Soc. 190 (1974), 375-384

DOI: https://doi.org/10.1090/S0002-9947-1974-0340456-5

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Abstract:

A semigroup has a midunit u if $aub = ab$ 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.

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