Results 271 to 280 of about 100,848 (293)

The Tor-Groups of Modules of Generalized Power Series

Algebra Colloquium, 2005
Let (S,≤) be a strictly ordered monoid, and R a right noetherian ring. Assume that M is a finitely generated right R-module and N a left R-module. Denote by [[MS,≤]] (resp., [[NS,≤]]) the right (resp., left) [[RS,≤]]-module of generalized power series over M (resp., over N). Then we show that there exists an isomorphism of abelian groups [Formula: see
Liu, Zhongkui, Ahsan, Javed
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Quasi-Armendariz generalized power series rings

Journal of Algebra and Its Applications, 2016
Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent ...
Paykan, K., Moussavi, A.
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GENERALIZED POWER SERIES MODULES

Communications in Algebra, 2001
In this paper we obtain results pertaining to noetherian nature of generalised power series modules over rings not necessarily possessing an indentity element. These considerably strengthen earlier results of Ribenboim on this topic.
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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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Convergence acceleration on a general class of power series

Computing, 1978
In this paper we present several efficient methods for evaluating functions defined by power series expansions. Simple computer codes for two rapid algorithms are given in a companion paper. The convergence rates of the proposed computational schemes are investigated theoretically and the results are illustrated by numerical examples.
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RADICALS OF SKEW GENERALIZED POWER SERIES RINGS

Journal of Algebra and Its Applications, 2012
Let R be a ring, (S, ≤) a strictly ordered monoid and ω : S → End (R) a monoid homomorphism. In this note for a (S, ω)-Armendariz ring R we study some properties of skew generalized power series ring R[[S, ω]]. In particular, among other results, we show that for a S-compatible (S, ω)-Armendariz ring R, α(R[[S, ω]]) = α(R)[[S, ω]] = Ni ℓ*(R)[[S, ω ...
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GENERALIZED LINDLEY POWER SERIES FAMILY OF DISTRIBUTIONS

Advances and Applications in Statistics, 2018
Summary: In this paper, we introduce a new class of distributions by compounding the generalized class of Lindley distributions with the power series family of distributions. This new class of distributions contains several lifetime subclasses, such as the Lindley power series, two-parameter Lindley power series and power Lindley power series ...
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Morita Duality for the Rings of Generalized Power Series

Acta Mathematica Sinica, English Series, 2002
Let \(A,B\) be associative rings with identity, and \((S,\leq)\) be a strictly totally ordered monoid which is also Artinian and finitely generated. Then one forms a ring, denoted by \([[A^{S,\leq}]]\), called the ring of generalized power series. For any bimodule \(_AM_B\), one forms a bimodule \(_{[[A^{S,\leq}]]}[M^{S,\leq}]_{[[B^{S,\leq}]]}\).
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Nilpotent Elements and Nil-Reflexive Property of Generalized Power Series Rings

Advances in Pure Mathematics, 2022
Eltiyeb Ali
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A fuzzy generalized power series method under generalized Hukuhara differentiability for solving fuzzy Legendre differential equation

Soft Computing, 2020
Tofigh Allahviranloo, S Abbasbandy, Allahviranloo Tofigh   +2 more
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