Results 51 to 60 of about 199,681 (176)
Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain
Makara Seri Sains, 2010 Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain. Let R be any ring withidentity 1, σ be an automorphism of R and δ be a left σ-derivation. The skew polynomial ring over R in anindeterminate x is the set of polynomials anxn
Amir Kamal Amir
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On commutativity of one-sided s-unital rings
International Journal of Mathematics and Mathematical Sciences, 1992 The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
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Some Results On Normal Homogeneous Ideals
, 2002 In this article we investigate when a homogeneous ideal in a graded ring is normal, that is, when all positive powers of the ideal are integrally closed.
Reid, Les +2 more
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Jordan derivations of polynomial rings
Karpatsʹkì Matematičnì Publìkacìï, 2012 We study connections between the set of Jordan derivations of a ring $R$ and the sets of Jordan derivations of a polynomial ring $R[x_1,\dots,x_n]$ and formal power series ring $R[[x_1,\dots,x_n]]$. We also establish a condition when $JDer R$ is a left $
I. I. Lishchynsky
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Computation in multivariate quaternionic polynomial ring
Le Matematiche, 2013 In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.
Hiep Tuan Dang
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Computing Wiener and Hyper-Wiener Indices of Zero-Divisor Graph of ℤℊ3×ℤI1I2
Journal of Function Spaces, 2022 Let S=ℤℊ3×ℤI1I2 be a commutative ring where ℊ,I1 and I2 are positive prime integers with I1≠I2. The zero-divisor graph assigned to S is an undirected graph, denoted as YS with vertex set V(Y(S)) consisting of all Zero-divisor of the ring S and for any c,
Yonghong Liu +4 more
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Rings which are almost polynomial rings [PDF]
Transactions of the American Mathematical Society, 1972 If A is a commutative ring with identity and s is a unitary A- algebra, s is locally polynomial over A provided that for every prime p of A, Bp = s ®/l Ap is a polynomial ring over Ap. For example, the ring ZL|X/pi i!=j !, where ip,(j*jis the set of all primes of Z, is locally polynomial over Z, but is not a polynomial ring over Z.
Eakin, Paul, Silver, James
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On some properties of polynomials rings
International Journal of Mathematics and Mathematical Sciences, 1987 For a commutative ring with unity R, it is proved that R is a PF-ring if and only if the annihilator, annR(a), for each a ϵ R is a pure ideal in R, Also it is proved that the polynomial ring, R[X], is a PF-ring if and only if R is a PF-ring.
H. Al-Ezeh
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Burnside Chromatic Polynomials of Group-Invariant Graphs
Discussiones Mathematicae Graph Theory, 2023 We introduce the Burnside chromatic polynomial of a graph that is invariant under a group action. This is a generalization of the Q-chromatic function Zaslavsky introduced for gain graphs.
White Jacob A.
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