Extensions of commutative rings

被引：10
|
作者：
Bhattacharjee, Papiya [2 ]
Drees, Kevin M. [3 ]
McGovern, Warren Wm [1 ]
机构：
[1] Florida Atlantic Univ, HL Wilkes Honors Coll, Jupiter, FL 33458 USA
[2] Penn State Univ, Behrend Coll, Sch Sci, Erie, PA 16563 USA
[3] Edinboro Univ Penn, Dept Math & Comp Sci, Edinboro, PA 16444 USA
来源：
TOPOLOGY AND ITS APPLICATIONS | 2011年 / 158卷 / 14期
关键词：
Rigid extensions; r-Extensions; r*-Extensions; Minimal prime space; Annihilator condition; SPACE;
D O I：
10.1016/j.topol.2011.06.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1802 / 1814
页数：13
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