Two Examples of Diagonal Bi-Acts

Autor:	I. B. Kozhukhov, T. V. Apraksina, I. V. Barkov
Rok vydání:	2015
Předmět:	Statistics and Probability Discrete mathematics Pure mathematics Mathematics::Operator Algebras Semigroup Applied Mathematics General Mathematics Diagonal Main diagonal Third order Cancellative semigroup Bicyclic semigroup Order (group theory) Finitely-generated abelian group Mathematics
Zdroj:	Scopus-Elsevier
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-015-2324-6
Popis:	An example of a right cancellative semigroup is constructed such that the diagonal bi-act of this semigroup is cyclic. Moreover, it is proved that every semigroup can be isomorphically embedded into a semigroup such that its diagonal bi-act of second order is cyclic, but the diagonal bi-act of third order is not finitely generated.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d633139f06dfedff5bc6a1ef8fc85094 https://doi.org/10.1007/s10958-015-2324-6 Zobrazit plný text záznamu Plný text ve formátu PDF