Translatability and translatable semigroups

Open Mathematics

卷:16

Dudek Wieslaw A.¹  Monzo Robert A. R.² 

[1] Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, 50-370Wroclaw, Poland;

[2] Flat 10, Albert Mansions, Crouch Hill, LondonN8 9RE, United Kingdom;

关键词: semigroup;    translatable semigroup;    left cancellative semigroup;    idempotent;    20m15;    20n02;   

DOI  :  10.1515/math-2018-0106

来源: DOAJ

【 摘 要 】

The concept of a k-translatable groupoid is explored in depth. Some properties of idempotent k-translatable groupoids, left cancellative k-translatable groupoids and left unitary k-translatablegroupoids are proved. Necessary and sufficient conditions are found for a left cancellative k-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 k-translatable semigroups that are not left cancellative are given.

【 授权许可】

Unknown