p - Extensions Papiya Bhattacharjee , Michelle L . Knox , and Warren Wm . McGovern

نویسندگان

  • Papiya Bhattacharjee
  • Michelle L. Knox
  • Warren Wm. McGovern
چکیده

We consider extensions of unital commutative rings. We define an extension R ↪→ S to be a p-extension if every principally generated ideal of S is generated by an element of R. Examples are plentiful and localizations of regular multiplicative sets are p-extensions. We develop the theory of pextensions.

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Extensions Papiya Bhattacharjee , Michelle L . Knox , and Warren Wm . McGovern

We consider extensions of unital commutative rings. We define an extension R ↪→ S to be a p-extension if every principally generated ideal of S is generated by an element of R. Examples are plentiful and localizations of regular multiplicative sets are p-extensions. We develop the theory of pextensions.

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تاریخ انتشار 2013