The partially ordered monoid generated by the operators H, S, P u , P f on classes of algebras

Autor: Boža Tasić
Rok vydání: 2009
Předmět:
Zdroj: Algebra universalis. 62:351-365
ISSN: 1420-8911
0002-5240
DOI: 10.1007/s00012-010-0046-7
Popis: Let I, H, S, P u , P f denote the following operators on classes of algebras of the same type: I, H for isomorphic and homomorphic images of algebras, S for subalgebras and P u , P f for ultra and filtered products, respectively. In this paper, the monoid generated by the operators H, S, P u , P f with I as an identity is described. It turns out that there are 44 different operators such that every composite of H, S, P u , P f coincides with one of them (including the empty composite, the identity operator).
Databáze: OpenAIRE
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