Results 51 to 60 of about 1,801,897 (347)
Standard bases in mixed power series and polynomial rings over rings [PDF]
Journal of symbolic computation, 2015 In this paper we study standard bases for submodules of a mixed power series and polynomial ring R ź t 1 , ź , t m ź x 1 , ź , x n s respectively of their localisation with respect to a t _ -local monomial ordering for a certain class of noetherian rings
Thomas Markwig, Yue Ren, Oliver Wienand
semanticscholar +1 more source
On Polynomial Extensions Of Rings [PDF]
Canadian Journal of Mathematics, 1956 Let A be a commutative ring with unit element, and let A [x] be a ring of polynomials in an indeterminate x with coefficients in A. There are a number of well-known properties which A shares with A [x]. We shall state one of them in the following.
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On the Splitting Ring of a Polynomial [PDF]
Communications in Algebra, 2016 Let $f(Z)=Z^n-a_{1}Z^{n-1}+\cdots+(-1)^{n-1}a_{n-1}Z+(-1)^na_n$ be a monic polynomial with coefficients in a ring~$R$ with identity, not necessarily commutative. We study the ideal $I_f$ of $R[X_1,\dots,X_n]$ generated by $σ_i(X_1,\dots,X_n)-a_{i}$, where $σ_1,\dots,σ_n$ are the elementary symmetric polynomials, as well as the quotient ring $R[X_1 ...
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Multi-Parameter Support with NTTs for NTRU and NTRU Prime on Cortex-M4
Transactions on Cryptographic Hardware and Embedded Systems, 2022 We propose NTT implementations with each supporting at least one parameter of NTRU and one parameter of NTRU Prime. Our implementations are based on size-1440, size-1536, and size-1728 convolutions without algebraic assumptions on the target polynomial ...
Erdem Alkim, Vincent Hwang, Bo-Yin Yang
doaj +3 more sources
α-Reflexive Rings with Involution
مجلة المختار للعلوم, 2021 This paper studies the concept of the -quasi-*-IFP (resp., -*-reflexive) *-rings, as a generalization of the quasi-*-IFP (resp., *-reflexive) *-rings and every quasi-*-IFP (resp., *-reflexive) *-ring is -quasi-*-IFP (resp., -*-reflexive).
Muna E. Abdulhafed +1 more
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When are the natural embeddings of classical invariant rings pure?
Forum of Mathematics, Sigma, 2023 Consider a reductive linear algebraic group G acting linearly on a polynomial ring S over an infinite field; key examples are the general linear group, the symplectic group, the orthogonal group, and the special linear group, with the classical ...
Melvin Hochster +3 more
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SMARANDACHE NEAR-RINGS AND THEIR GENERALIZATIONS [PDF]
, 2002 In this paper we study the Smarandache semi-near-ring and nearring, homomorphism, also the Anti-Smarandache semi-near-ring. We obtain some interesting results about them, give many examples, and pose some problems.
Vasantha Kandasamy, W.B.
core +1 more source
Quiver Generalized Weyl Algebras, Skew Category Algebras and Diskew Polynomial Rings
Mathematics and Computer Science, 2017 The aim of the paper is to introduce new large classes of algebras—quiver generalized Weyl algebras, skew category algebras, diskew polynomial rings and skew semi-Laurent polynomial rings.
V. Bavula
semanticscholar +1 more source
Rings which are almost polynomial rings [PDF]
Transactions of the American Mathematical Society, 1972 If A is a commutative ring with identity and B is a unitary A -algebra, B is locally polynomial over A provided that for every prime
Eakin, Paul, Silver, James
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Skew Polynomial Extensions over Zip Rings
International Journal of Mathematics and Mathematical Sciences, 2008 In this article, we study the relationship between left (right) zip property of 𝑅 and skew polynomial extension over 𝑅, using the skew versions of Armendariz rings.
Wagner Cortes
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