Results 41 to 50 of about 199,462 (178)
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.
openaire +1 more source
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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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.
openaire +2 more sources
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
doaj
On the Construction of Gr\"obner Bases with Coefficients in Quotient Rings [PDF]
, 2012 Let $\Lambda$ be a commutative Noetherian ring, and let $I$ be a proper ideal of $\Lambda$, $R=\Lambda /I$. Consider the polynomial rings $T=\Lambda [x_1,...x_n]$ and $A=R[x_1,...,x_n]$. Suppose that linear equations are solvable in $\Lambda$.
Li, Huishi
core
On some properties of LS algebras
, 2018 The discrete LS algebra over a totally ordered set is the homogeneous coordinate ring of an irreducible projective (normal) toric variety. We prove that this algebra is the ring of invariants of a finite abelian group containing no pseudo-reflection ...
Chirivì, Rocco
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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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