Regularity in algebraic frames

Autor:	Eric Richard Zenk, Jorge Martinez
Rok vydání:	2007
Předmět:	Algebra Pure mathematics Algebra and Number Theory Subframe Group (mathematics) Compact element Frame (networking) Computer Science::Networking and Internet Architecture Regular polygon Context (language use) Algebraic number Mathematics
Zdroj:	Journal of Pure and Applied Algebra. 211:566-580
ISSN:	0022-4049
DOI:	10.1016/j.jpaa.2007.02.008
Popis:	This article considers algebraic frames in which the meet of two compact elements is compact, and, in that context, when the subframe of all regular elements is itself regular. Motivated by the study of a frame of convex ℓ-subgroups of a lattice-ordered group, a number of relevant sufficient conditions are given for this subframe to be regular. An example is given of a frame of convex ℓ-subgroups for which the subframe of regular elements is not regular.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::633ed343d8d87a78d4fe1f7a3307538c https://doi.org/10.1016/j.jpaa.2007.02.008 Zobrazit plný text záznamu Full Text from ScienceDirect