zariski-like spaces of certain modules

نویسندگان

hosein fazaeli moghim

fatemeh rashedi

چکیده

let $r$ be a commutative ring with identity and $m$ be a unitary$r$-module. the primary-like spectrum $spec_l(m)$ is thecollection of all primary-like submodules $q$ such that $m/q$ is aprimeful $r$-module. here, $m$ is defined to be rsp if $rad(q)$ isa prime submodule for all $qin spec_l(m)$. this class containsthe family of multiplication modules properly. the purpose of thispaper is to introduce and investigate a new zariski space of anrsp module, called zariski-like space. in particular, we provideconditions under which the zariski-like space of a multiplicationmodule has a subtractive basis.

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عنوان ژورنال:
journal of algebraic systems

ناشر: shahrood university of technology

ISSN 2345-5128

دوره 1

شماره 2 2014

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