Open AccessA new topology over the primary-like spectrum of a module
Author(s) -
Fatemeh Rashedi
Publication year - 2021
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2021.13225
Subject(s) - mathematics , topology (electrical circuits) , hausdorff space , commutative ring , spectrum (functional analysis) , spec# , commutative property , combinatorics , discrete mathematics , computer science , physics , quantum mechanics , programming language
Let R be a commutative ring with identity and M a unitary R-module. The primary-like spectrum Spec L (M) is the collection of all primary-like submodules Q of M, the recent generalization of primary ideals, such that M/Q is a primeful R-module. In this article, we topologies Spec L (M) with the patch-like topology, and show that when, Spec L (M) with the patch-like topology is a quasi-compact, Hausdorff, totally disconnected space.