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On a conjecture posed by Benhissi and Koja

Communications in Algebra, 2020
Let = (Rn)n≥0 be an ascending chain of commutative rings with identity and (resp., ) the generalized composite Hurwitz series ring (resp., generalized composite Hurwitz polynomial ring). In this paper, we completely characterize when the rings and are PS-
Jung Wook Lim
exaly   +2 more sources

Some combinatorial properties of the Hurwitz series ring

Ricerche Di Matematica, 2017
We study some properties and perspectives of the Hurwitz series ring HR[[t]]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \
Stefano Barbero   +2 more
exaly   +2 more sources

Special properties of Hurwitz series rings

Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2018
Lunqun Ouyang, Yueming Xiang
exaly   +3 more sources

Polynomial stability of the homology of Hurwitz spaces

Mathematische Annalen, 2023
For a finite group G and a conjugation-invariant subset Q⊆G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
Andrea Bianchi, Jeremy Miller
semanticscholar   +1 more source

Polynomial and power series ring extensions from sequences

, 2020
Let [Formula: see text] be a commutative ring with identity. Let [Formula: see text] and [Formula: see text] be the collection of polynomials and, respectively, of power series with coefficients in [Formula: see text].
G. Chang, Phan Thanh Toan
semanticscholar   +1 more source

Efficient AES SubBytes Implementation for IoT Devices Using Composite Field Arithmetic and Polynomial Ring Representation

International Conference on High Performance Switching and Routing
The SubBytes operation in the Advanced Encryption Standard (AES) is a critical step performed over the extended field GF(28), defined using the irreducible polynomial p(x) = x8+x4+x3+x+1.
Ke Li   +3 more
semanticscholar   +1 more source

McCoy property of Hurwitz series rings

, 2020
Based on a theorem of McCoy on commutative rings, Nielsen called a ring R right McCoy if for any nonzero polynomials f(x),g(x) over R, f(x)g(x) = 0 implies f(x)r = 0 for some 0≠r ∈ R.
Vahid Nourozi, F. Rahmati, M. Ahmadi
semanticscholar   +1 more source

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