Cancellative semigroups with non-empty center

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Abstract

Cancellative, idempotent-free semigroups having non-empty center are characterized in terms of a Schreier extension. Cancellative pivoted semigroups with non-empty center are characterized as a group or in terms of a triple (G,H,I), where G is a group, H is either empty or a subgroup of G and I is a function mapping GxG into the non negative integers.

Original languageEnglish (US)
Pages (from-to)170-177
Number of pages8
JournalSemigroup Forum
Volume11
Issue number1
DOIs
StatePublished - Dec 1975

ASJC Scopus subject areas

  • Mathematics(all)

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