Results 41 to 50 of about 199,681 (176)
, 2011 Dolgachev proved that, for any field k, the ring naturally associated to a generic Laurent polynomial in d variables, $d \geq 4$, is factorial. We prove a sufficient condition for the ring associated to a very general complex Laurent polynomial in d=3 ...
Antonella Grassi +8 more
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Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings
International Journal of Mathematics and Mathematical Sciences, 2015 Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. Let f(x) be a quadratic polynomial in Z[x1,…,xn].
Ali H. Hakami
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A note on rings which are multiplicatively generated by idempotents and nilpotents
International Journal of Mathematics and Mathematical Sciences, 1988 We give the structure of certain rings which are multiplicatively generated by nilpotents or multiplicatively generated by idempotents and nilpotents.
Hazar Abu-Khuzam
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Polynomial Functors of Modules [PDF]
, 2014 We introduce the notion of numerical functors to generalise Eilenberg & MacLane's polynomial functors to modules over a binomial base ring. After shewing how these functors are encoded by modules over a certain ring, we record a precise criterion for a ...
Harry Martinson Aniara +1 more
core
A Matrix Ring Description for Cyclic Convolutional Codes
, 2007 In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring.
Gluesing-Luerssen, Heide +1 more
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On ideals with the Rees property
, 2013 A homogeneous ideal $I$ of a polynomial ring $S$ is said to have the Rees property if, for any homogeneous ideal $J \subset S $ which contains $I$, the number of generators of $J$ is smaller than or equal to that of $I$. A homogeneous ideal $I \subset S$
Migliore, Juan +4 more
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M-Polynomial and Topological Indices of Benzene Ring Embedded in P-Type Surface Network
Journal of Chemistry, 2019 The representation of chemical compounds and chemical networks with the M-polynomials is a new idea, and it gives nice and good results of the topological indices.
Hong Yang +4 more
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Improved Ring LWR-Based Key Encapsulation Mechanism Using Cyclotomic Trinomials
IEEE Access, 2020 In the field of post-quantum cryptography, lattice-based cryptography has received the most noticeable attention. Most lattice-based cryptographic schemes are constructed based on the polynomial ring Rq = Zq[x]/f (x), using a cyclotomic polynomial f (x).
So Hyun Park +3 more
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Coherence of polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1976 The main result is that A [ X ] A[X] , the polynomial ring in any number of indeterminates over a coherent ring A A of global dimension two, is coherent.
Greenberg, B. V., Vasconcelos, W. V.
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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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