ZARISKI-LIKE SPACES OF CERTAIN MODULES
Publish place: Journal of Algebraic Systems، Vol: 1، Issue: 2
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-1-2_003
تاریخ نمایه سازی: 13 مرداد 1394
Abstract:
Let R be a commutative ring with identity and M be a unitary R-module. The primary-like spectrum SpecL(M) is the collection of all primary-like submodules Q such that M/Q is a primeful R-module. Here, M is de ned to be RSP if rad(Q) is a prime submodule for all Q € SpecL(M). This class contains the family of multiplication modules properly. The purpose of this paper is to introduce and investigates a new Zariski space of an RSP module, called a Zariski-like space. In particular, we provide conditions under which the Zariski-like space of a multiplication module has a subtractive basis.
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Authors
H FAZAELI MOGHIMI
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