Extensions of commutative rings

Papiya Bhattacharjee; Kevin M. Drees; Warren Wm McGovern

doi:10.1016/j.topol.2011.06.015

Extensions of commutative rings

Papiya Bhattacharjee, Kevin M. Drees, Warren Wm McGovern

School of Science (Behrend)

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In studying the minimal prime spectra of commutative rings with identity we have been able to identify several interesting types of extensions of rings. In particular, we determine what kind of ring extensions will result in a homeomorphisms of the hull-kernel and inverse topologies on the minimal prime spectra. We relate these types of extensions to other known types of extensions.

Original language	English (US)
Pages (from-to)	1802-1814
Number of pages	13
Journal	Topology and its Applications
Volume	158
Issue number	14
DOIs	https://doi.org/10.1016/j.topol.2011.06.015
State	Published - Sep 1 2011

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2011.06.015

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title = "Extensions of commutative rings",

abstract = "In studying the minimal prime spectra of commutative rings with identity we have been able to identify several interesting types of extensions of rings. In particular, we determine what kind of ring extensions will result in a homeomorphisms of the hull-kernel and inverse topologies on the minimal prime spectra. We relate these types of extensions to other known types of extensions.",

author = "Papiya Bhattacharjee and Drees, {Kevin M.} and McGovern, {Warren Wm}",

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AU - Drees, Kevin M.

AU - McGovern, Warren Wm

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AB - In studying the minimal prime spectra of commutative rings with identity we have been able to identify several interesting types of extensions of rings. In particular, we determine what kind of ring extensions will result in a homeomorphisms of the hull-kernel and inverse topologies on the minimal prime spectra. We relate these types of extensions to other known types of extensions.

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AN - SCOPUS:79960890097

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JO - Topology and its Applications

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ER -

Extensions of commutative rings

Abstract

All Science Journal Classification (ASJC) codes

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