scholarly journals IS INFINITE DIMENSIONAL

2020 ◽  
pp. 1-7 ◽  
Author(s):  
Jaclyn Lang ◽  
Judith Ludwig
Keyword(s):  
Valuation Ring ◽  
Krull Dimension ◽  
Infinite Dimensional ◽  
Witt Vectors

Given a perfect valuation ring $R$ of characteristic $p$ that is complete with respect to a rank- $1$ nondiscrete valuation, we show that the ring $\mathbb{A}_{\inf }$ of Witt vectors of $R$ has infinite Krull dimension.

scholarly journals Valuation derived from graded ring and module and Krull dimension properties

2017 ◽  
Vol 35 (2) ◽  
pp. 93
Author(s):  
Mohammad Hassan Anjom SHoa ◽  
Mohammad Hossein Hosseinie
Keyword(s):  
Valuation Ring ◽  
Krull Dimension ◽  
New Method ◽  
Graded Ring ◽  
Graded Structure

In this paper we show if R is a graded ring then we can dene avaluation on R induced by graded structure, and we prove some properties and relations for R. Later we show that if R is a graded ring and M a graded R-module then there exists a valuation on of M which is derived from graded structure and also we prove some properties and relations for R. In the following we give a new method for nding the Kurll dimension of a valuation ring.

Criterion of cyclically compactness infinite-dimensional normed module

2018 ◽  
Vol 2018 (3) ◽  
pp. 51-62
Author(s):  
V.I. Chilin ◽  
J.A. Karimov
Keyword(s):  
Infinite Dimensional ◽  
Normed Module

Distribution and Analytical Measure on Infinite Dimensional Spaces

2018 ◽  
Vol 483 (1) ◽  
pp. 7-10
Author(s):  
A. Belyaev ◽  
◽  
O. Smolyanov ◽  
◽  
Keyword(s):  
Infinite Dimensional
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