On the second spectrum of lattice modules

Discussiones Mathematicae - General Algebra and Applications

Kharat Vilas¹  Ballal Sachin¹  Phadatare Narayan¹ 

[1] Department of Mathematics, Savitribai Phule Pune University, Pune-411 007, India;

关键词: second element;    prime element;    maximal element;    minimal element;    spectral space;    06d10;    06e10;    06f10;   

DOI  :  10.7151/dmgaa.1266

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown