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The Translational Hull of a Semilattice of Weakly Reductive Semigroups

Published online by Cambridge University Press:  20 November 2018

Mario Petrich
Mario Petrich*
Affiliation:
The Pennsylvania State University, University Park, Pennsylvania
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The translational hull is of central importance in the construction of ideal extensions and the study of densely embedded ideals particularly for weakly reductive semigroups (see [4, Chapter III]). The translational hull of semigroups belonging to a few special classes is known in an explicit form, and for some other classes of semigroups, certain properties of their translational hulls have been established (see [4, Chapter V]). We have generalized in [5] the concept of an inverse limit of groups in order to give a construction of the translational hull of a semigroup which is a semilattice of groups.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 6 , December 1974 , pp. 1520 - 1536
Copyright
Copyright © Canadian Mathematical Society 1974

References

1. Petrich, Mario, The translational hull in semigroups and rings, Semigroup Forum 1 (1970), 283–360.Google Scholar
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