pg-EXTENSIONS AND p-EXTENSIONS WITH APPLICATIONS TO C(X)
نویسندگان
چکیده
Essential extensions and p-extensions have been studied for commutative rings with identity in various articles, such as [2], [3], and [13]. The present article applies these concepts to certain subrings of C(X). Moreover, the article introduces a new ring extension, called a pg-extension, 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).
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