Extensions of commutative rings

Papiya Bhattacharjee, Kevin M. Drees, Warren Wm McGovern

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1802-1814
Number of pages13
JournalTopology and its Applications
Volume158
Issue number14
DOIs
StatePublished - Sep 1 2011

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Commutative Ring
Prime Spectrum
Ring
kernel
Topology

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Cite this

Bhattacharjee, P., Drees, K. M., & McGovern, W. W. (2011). Extensions of commutative rings. Topology and its Applications, 158(14), 1802-1814. https://doi.org/10.1016/j.topol.2011.06.015
Bhattacharjee, Papiya ; Drees, Kevin M. ; McGovern, Warren Wm. / Extensions of commutative rings. In: Topology and its Applications. 2011 ; Vol. 158, No. 14. pp. 1802-1814.
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Bhattacharjee, P, Drees, KM & McGovern, WW 2011, 'Extensions of commutative rings', Topology and its Applications, vol. 158, no. 14, pp. 1802-1814. https://doi.org/10.1016/j.topol.2011.06.015

Extensions of commutative rings. / Bhattacharjee, Papiya; Drees, Kevin M.; McGovern, Warren Wm.

In: Topology and its Applications, Vol. 158, No. 14, 01.09.2011, p. 1802-1814.

Research output: Contribution to journalArticle

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Bhattacharjee P, Drees KM, McGovern WW. Extensions of commutative rings. Topology and its Applications. 2011 Sep 1;158(14):1802-1814. https://doi.org/10.1016/j.topol.2011.06.015