Partially Ordered Monoids Generated by Operators H , S , P , and by H , S , P f Are Isomorphic

Autor:	Boža Tasić
Rok vydání:	2001
Předmět:	Algebra Combinatorics Monoid Algebra and Number Theory Composition (combinatorics) Identity element Algebra over a field Type (model theory) Mathematics
Zdroj:	Semigroup Forum. 62:485-490
ISSN:	1432-2137 0037-1912
DOI:	10.1007/s002330010021
Popis:	Let I , H , S , P , Pf be the usual operators on classes of algebras of the same type (Pf for filtered products). The partially ordered monoid generated by the operators H , S , P with respect to composition of operators, I as an identity element, and a natural ordering between operators is described by Pigozzi (Algebra Universalis 2 (1972), 346—353). Let us denote by \cal M =\langle H, S, P\rangle and by \cal M f=\langle H, S, Pf\rangle the partially ordered monoids generated by {H, S, P} and by {H, S, Pf} respectively. The aim of this paper is to prove that \cal M is isomorphic to \cal M f .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::411ea2e261503cf51a9fcba25e74d6a3 https://doi.org/10.1007/s002330010021 Zobrazit plný text záznamu Plný text ve formátu PDF