Results 151 to 160 of about 1,159 (179)

SOME RESULTS ON CYCLIC AND NEGACYCLIC CODES OVER FORMAL POWER SERIES RINGS AND FINITE CHAIN RINGS

, 2020
. In this article, relationship between cyclic codes of composite length mn over formal power series ring and u−constacyclic code of length m over R∞[x] has been established by constructing an isomorphism.
M. S. Dutta, H. K. Saikia
semanticscholar   +1 more source

Rings of formal power series and a multidimensional analogue of the lagrange formula

Doklady Mathematics, 2011
M I Graev, Graev M I
exaly   +2 more sources

On the bandwidth dimension of the ring of formal power series

Russian Mathematical Surveys, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Arithmetic in the Ring of Formal Power Series with Integer Coefficients

The American Mathematical Monthly, 2008
of polynomials R[x] over R, namely the ring ^[[x]] of formal powers series in one variable over R, is hardly ever mentioned in such a course. In most cases, it is relegated to the homework problems (or to the exercises in the textbooks), and one learns that, like R[x], R[[x]] is an integral domain provided that R is an integral domain.
Daniel Birmajer, Juan B. Gil
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Computing in Complete Local Equicharacteristic Noetherian Rings Via Topological Rewriting on Commutative Formal Power Series

Mathematics and Computer Science
In commutative algebra, the theory of Gröbner bases enables one to compute in any finitely generated algebra over a given computable field. For non-finitely generated algebras however, other methods have to be pursued.
Adya Musson-Leymarie
semanticscholar   +1 more source

Principal quasi-Baerness of formal power series rings

Acta Mathematica Sinica, English Series, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhong Kui, Zhang, Wen Hui
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HILBERT COEFFICIENTS AND THE APPROXIMATELY COHEN-MACAULAYNESS OF FORMAL POWER SERIES RINGS

TNU Journal of Science and Technology
Tính chất Cohen-Macaulay xấp xỉ đóng vai trò quan trọng trong đại số giao hoán như một mở rộng của tính chất Cohen-Macaulay. Khái niệm này được giới thiệu bởi Goto cho các vành địa phương và được mở rộng cho các môđun hữu hạn sinh bởi Schenzel.
Trần Thị Vân Anh, P. H. Nam
semanticscholar   +1 more source

Formal and Convergent Power Series Rings

2004
In this chapter we prepare the ground for the proof of the Jung-Abhyankar theorem in section 2 and the study of quasiordinary power series in section 4 of chapter V. We assume that the reader is acquainted with the notion of power series over a field; in section 1, for the convenience of the reader, we give some background, introduce convergent power ...
K. Kiyek, J. L. Vicente
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On a criterion of iteration in rings of formal power series

1985
G. Mehring
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Algebraic elements in formal power series rings II

Israel Journal of Mathematics, 1989
[For part I see ibid. 63, No.3, 281-288 (1988; Zbl 0675.13015).] One considers algebraic formal power series in several variables over a perfect field of characteristic \(p.\) Upper bounds are obtained for the degrees of their diagonals, Hadamard products and Lamperti products.
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