Base fields of csp-rings. (English. Russian original) Zbl 1270.13003

Algebra Logic 49, No. 4, 378-385 (2010); translation from Algebra Logika 49, No. 4, 555-565 (2010).
Summary: We study the question which fields may serve as base fields for csp-rings. It is proved that every algebraic extension of a field \(\mathbb Q\) is the base field of some csp-ring. Also it shown that in studying base fields, we may confine ourselves to treating only csp-rings of idempotent cocharacteristic, or only regular csp-rings.


13A99 General commutative ring theory
12F99 Field extensions
13B02 Extension theory of commutative rings


csp-ring; base field
Full Text: DOI


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