Results 51 to 60 of about 199,462 (178)
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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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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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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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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Generalized Skew Polynomial Rings [PDF]
Transactions of the American Mathematical Society, 1982 For a totally ordered cancellative semigroup Γ \Gamma , a skew field K K , let K [ Γ ; ϕ ] K[\Gamma ;\phi ] be a skew semigroup ring. If x ∈ Γ , k ∈ K x \in \Gamma ,\,k \in K , then
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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
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Isomorphic polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1971 Coleman, D. B., Enochs, E. E.
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Prime Ideals and Three-generated Ideals with Large Regularity
Comptes Rendus. MathématiqueAnanyan and Hochster proved the existence of a function $\Phi (m,d)$ such that any graded ideal $I$ generated by $m$ forms of degree at most $d$ in a standard graded polynomial ring satisfies $\mathrm{reg}(I) \le \Phi (m,d)$. Relatedly, Caviglia et.
McCullough, Jason
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A random number generator based on NTRU cryptosystem [PDF]
Maejo International Journal of Science and Technology, 2010 A random number generator based on the operation of the NTRU cryptosystem is proposed. By using the proposed generator together with the NTRU cryptosystem, we can save hardware and software components.
He Debiao
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