期刊论文详细信息
Open Mathematics | 卷:16 |
Translatability and translatable semigroups | |
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