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Semigroup Forum
Article . 1973 . Peer-reviewed
License: Springer TDM
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Article . 1974 . Peer-reviewed
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Article . 1974 . Peer-reviewed
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Semigroups with midunits

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1973 Germany Publisher:Springer Science and Business Media LLCJournal:Semigroup Forum, volume 6, pages 346-351 (issn: 0037-1912, eissn: 1432-2137, Copyright policy )
Authors: Ault, J.E.;

doi: 10.1007/bf02389143 , 10.2307/1996970 , 10.1090/s0002-9947-1974-0340456-5

Semigroups with midunits

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.

Country
Germany
Related Organizations
Keywords

510.mathematics, General structure theory for semigroups, Article

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Top 10%
Average
Green
bronze