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Commutative Non-Singular Semigroups

Published online by Cambridge University Press:  20 November 2018

C. S. Johnson Jr.  and
F. R. McMorris
C. S. Johnson Jr.
Affiliation:
Dept. of Math., Bowling Green State University, Bowling GreenOhio 43403 U.S.A.
F. R. McMorris
Affiliation:
Dept. of Math., Bowling Green State University, Bowling GreenOhio 43403 U.S.A.
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It is well known (see [5]) that the maximal right quotient ring of a ring R is (von Neumann) regular if and only if R is (right) non-singular (every large right ideal is dense). In [8] it was shown that for a semigroup S, the regularity of Q(S), the maximal right quotient semigroup [7], is independent of the non-singularity of S. Nevertheless, right non-singular semigroups form an important class of semigroups.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 2 , 01 June 1977 , pp. 263 - 265
Copyright
Copyright © Canadian Mathematical Society 1977

References

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