Results 271 to 280 of about 33,116 (304)

PP-Rings of Generalized Power Series

Acta Mathematica Sinica, English Series, 2000
English translation of the article reviewed above (Zbl 1015.16045).
Liu Zhongkui
exaly   +3 more sources

Isonoetherian power series rings II

Communications in Algebra, 2021
Mohamed Khalifa
exaly   +2 more sources

Twisted Polynomial and Power Series Rings

Bulletin of the Iranian Mathematical Society, 2021
Let \(R\) be a commutative ring and \(\mathbb{N}_0\) the ordinary set of nonnegative integers. A function \(t:\mathbb{N}_0\times \mathbb{N}_0\longrightarrow R\) is called a twist function on \(R\) if it satisfies the following three properties for all \(n,m,q\in \mathbb{N}_0\): (i) \(t(0,q)=1\), (ii) \(t(n,m)=t(m,n)\) (iii) \(t(n,m).t(n+m,q)=t(n,m+q).t(
Chang, Gyu Whan, Toan, Phan Thanh
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Rings of Formal Power Series

Canadian Mathematical Bulletin, 1971
In this brief exposition we collect several results on rings of formal power series with coefficients from a field or a ring with some special properties. The results that are catalogued below are mostly algebraic in nature.
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Isonoetherian power series rings

Communications in Algebra, 2017
ABSTRACTFacchini and Nazemian proved that a valuation domain is isonoetherian if and only if it is discrete of Krull dimension ≤2 and they showed that this cannot be generalized from the local case to the global case: the 2-dimensional generalized Dedekind domain ℤ+Xℚ[[X]] is not isonoetherian. Let D be an integral domain with quotient field K.
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Polynomial and Power Series Rings

1960
Among commutative rings, the polynomial rings in a finite number of indeterminates enjoy important special properties and are frequently used in applications. As they are also of paramount importance in Algebraic Geometry, polynomial rings have been intensively studied.
Oscar Zariski, Pierre Samuel
openaire   +1 more source

Transcendence degree in power series rings.

2014
Ph. D.
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Generalized Power Series Rings

1990
Let R be a commutative ring, with unit element 1. Let S be a commutative monoid written multiplicatively (except when written additively...); thus, S is a semigroup with unit element, also denoted 1. We assume that S is endowed with a compatible strict order relation ≤, which is not necessarily a total order.
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On annihilator ideals in skew power series rings

Communications in Algebra, 2023
E Hashemi
exaly  

Idempotents of 2 × 2 matrix rings over rings of formal power series

Linear and Multilinear Algebra, 2022
Vesselin Drensky
exaly