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Extensions of commutative rings
Authors:Papiya Bhattacharjee
Affiliation:a The Behrend College, School of Science, Penn State Erie, Erie, PA 16563, United States
b Department of Mathematics and Computer Science, Edinboro University of Pennsylvania, Edinboro, PA 16444, United States
c The H.L. Wilkes Honors College, Florida Atlantic University, Jupiter, FL 33458, United States
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.
Keywords:13B   13A15
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