Results 71 to 80 of about 18,021 (212)
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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Indagationes Mathematicae (Proceedings), 1968 ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai∈K,where K is a (skew) field and the ai depend on a ∈ K. Under certain conditions the rings appear to be non-commutative principal ideal rings with a unique factorization.
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Dirichlet’s theorem for polynomial rings [PDF]
Proceedings of the American Mathematical Society, 2008 final ...
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Coherence of one polynomial ring
, 1973 The main result is that A [ x ] A[x] , the polynomial ring in one variable over the domain A A of global dimension two, is coherent. As an application, the quotient rings of
Wolmer V. Vasconcelos
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SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]
, 2009 Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
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Uniserial Rings and Skew Polynomial Rings
Tokyo Journal of Mathematics, 1984 If \(\tau\) is an automorphism of a division ring D then, for each positive integer c, the factor ring \(S/x^ cS\) of the skew polynomial ring \(S=D[x;\tau]\) is a local uniserial ring of split type. The purpose of this paper is to establish a necessary and sufficient condition on a local uniserial ring R for R to be isomorphic to a ring of the above ...
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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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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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