This article is cited in 5 papers

Base fields of $\mathrm{csp}$-rings

E. A. Timoshenko


Abstract: We study into the question of which fields may serve as base fields for $\mathrm{csp}$-rings. It is proved that every algebraic extension of a field $\mathbf Q$ is the base field of some $\mathrm{csp}$-ring. Also it shown that in studying base fields, we may confine ourselves to treating only $\mathrm{csp}$-rings of idempotent cocharacteristic, or only regular $\mathrm{csp}$-rings.

Keywords: $\mathrm{csp}$-ring, base field.

UDC: 512.62

Received: 07.03.2009
Revised: 26.02.2010

 English version: Algebra and Logic, 2010, 49:4, 378–385

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