Pg-Extensions and p-Extensions with applications to C(X)

Papiya Bhattacharjee, Michelle L. Knox

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

Essential extensions and p-extensions have been studied for commutative rings with identity in various papers, such as [P. Bhattacharjee, M. L. Knox and W. Wm. McGovern, p-Extensions, Proceedings for the OSU-Denison Conference, AMS series Contemporary Mathematics Series (to appear); p-Embeddings, Topology Appl. 160(13) (2013) 1566- 1576; R. M. Raphael, Algebraic Extensions of Commutative Regular Rings, Canad. J. Math. 22(6) (1970) 1133-1155]. The present paper applies these concepts to certain subrings of C(X). Moreover, the paper introduces a new ring extension, called a pgextension, and determines its relation to both essential extension and p-extension. It turns out that the pg-extension R → S induces a well-defined contraction map between principal ideals P(S) and P(R).

Original languageEnglish (US)
Article number1550068
JournalJournal of Algebra and its Applications
Volume14
Issue number5
DOIs
StatePublished - Jun 25 2015

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Pg-Extensions and p-Extensions with applications to C(X)'. Together they form a unique fingerprint.

  • Cite this