Φ-Prime and ϕ-Primary Elements in Multiplicative Lattices. (9th October 2014)

• Record Type: Journal Article
• Authors: Manjarekar, C. S.; Bingi, A. V.
• Other Names: Fleischmann Peter Academic Editor.
• Is Part Of: Algebra. Volume 2014(2014)
• Publication Date: 2014-10-09
• Subjects: Algebra -- Periodicals; Algebra; Electronic journals; Periodicals; 512.005
• DOI: 10.1155/2014/890312
• Languages: English
• ISSNs: 2314-4106

Abstract

Abstract : We investigate ϕ -prime and ϕ -primary elements in a compactly generated multiplicative lattice L . By a counterexample, it is shown that a ϕ -primary element in L need not be primary. Some characterizations of ϕ -primary and ϕ -prime elements in L are obtained. Finally, some results for almost prime and almost primary elements in L with characterizations are obtained.