Title of article
On real closed rings of higher level
Author/Authors
Guangxing Zeng، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2005
Pages
16
From page
250
To page
265
Abstract
The purpose of this paper is to introduce the notion of real closed rings of higher level in the category of reduced commutative rings. Such real closed rings of higher level are just generalized real closed fields in case the rings considered are fields. With the aid of the theory of totally integrally closed rings, some important results on real closed rings of higher level are established. The results in this paper involve real valuations and a related characterization of real closed rings of higher level.
Keywords
Real closed ring of higher level , Tight integral extension , Totally integral closure , Ordering of higher level , Real valuation
Journal title
Journal of Algebra
Serial Year
2005
Journal title
Journal of Algebra
Record number
697199
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