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Web Archive Capture PDF (2.5 MB).pdf

pjm-v14-n4-p06-s.pdf

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🔗 Source: web.archive.org

📊 Size: 2.36 MB

👤 Author: Richard Albert Dean and Robert Harvey Oehmke

⬇️ Downloads: 74

Summary

Idempotent semigroups with distributive right congruence lattices are studied, and necessary and sufficient conditions for an idempotent semigroup to have a distributive lattice of right congruences are given. The lattice of right congruences of a semigroup is shown to be a complete, compactly generated lattice. A characterization of the least upper bound of a set of right congruences is provided, and it is proven that the lattice of right congruences of a locally cyclic semigroup is distributive. However, not all semigroups with distributive right congruence lattices need be locally cyclic. Conditions for an idempotent semigroup to have both its lattice of right congruences and its lattice of left congruences distributive are also given.

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Description

Idempotent semigroups with distributive right congruence lattices are studied, and necessary and sufficient conditions for an idempotent semigroup to have a...

Technical Information

File Format: PDF
File Size: 2.36 MB
Pages: 27
Language: EN
Author: Richard Albert Dean and Robert Harvey Oehmke
Total Downloads: 74
Last Updated: 7 days ago

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