On the second spectrum of lattice modules

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 37, page 59 (issn: 1509-9415, eissn: 2084-0373,

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Authors: Phadatare Narayan; Ballal Sachin; Kharat Vilas;

doi: 10.7151/dmgaa.1266

On the second spectrum of lattice modules

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Abstract

The second spectrum Specs(M) is the collection of all second elements of M. In this paper, we study the topology on Specs(M), which is a generalization of the Zariski topology on the prime spectrum of lattice modules. Besides some properties, Specs(M) is characterized and the interrelations between the topological properties of Specs(M) and the algebraic properties of M, are studied.

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University of Pune
India

Keywords

spectral space, QA1-939, 06d10, 06e10, prime element, 06f10, second element, minimal element, Mathematics, maximal element

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