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Translatability and translatable semigroups
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Journal Article
Translatability and translatable semigroups
2018
Overview
The concept of a
-translatable groupoid is explored in depth. Some properties of idempotent
-translatable groupoids, left cancellative
-translatable groupoids and left unitary
-translatablegroupoids are proved. Necessary and sufficient conditions are found for a left cancellative
-translatable groupoid to be a semigroup. Any such semigroup is proved to be left unitary and a union disjoint copies of cyclic groups of the same order. Methods of constructing
-translatable semigroups that are not left cancellative are given.
Publisher
De Gruyter,De Gruyter Brill Sp. z o.o., Paradigm Publishing Services
Subject
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