A characterization of irreducible elements in lattices

Autor:	U. M. Swamy, B. Venkateswarlu
Rok vydání:	2014
Předmět:	Combinatorics Pure mathematics Mathematics::Commutative Algebra General Mathematics Compact element Prime element Irreducible element Characterization (mathematics) Algebraic number Southeast asian Irreducible component Prime (order theory) Mathematics
Zdroj:	Afrika Matematika. 26:619-626
ISSN:	2190-7668 1012-9405
DOI:	10.1007/s13370-014-0231-5
Popis:	The prime ideals and irreducible ideals of rings have been characterized by Heinzer et al. in (J Pure Appl Algebra 166:267–275, 2002) and by Lu and Qin in (Southeast Asian Bull Math 32:299–303, 2008) and later extended to algebraic lattices by Swamy and Venkateswarlu in (Int J Algebra Comput 8(8):969–975, 2010). In this paper, we unify, generalize and strengthen the above works by obtaining better characterizations of irreducible and strongly irreducible elements in general algebraic lattices.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9c0730bd400d0d8dc9a94aedfe83d0d6 https://doi.org/10.1007/s13370-014-0231-5 Zobrazit plný text záznamu Full text from SpringerLink