On the Generators of Codes of Ideals of the Polynomial Ring for Error Control
, 2017 Shannon introduced error detection and correction codes to address the growing need of efficiency and reliability of code vectors. Ideals in algebraic number system have mainly been used to preserve the notion of unique factorization in rings of ...
Olege, Fanuel
core
SIFAT SUBSTITUSI MATRIKS ATAS RING PADA POLINOMIAL MATRIKS DAN POLINOMIAL RASIONAL MATRIKS ATAS RING [PDF]
, 2004 The purpose this script study what characteristic matrix pelynomial over ring use too in substitution of matrix over ring into matrix polynomial over nng. Also. in matnx rutional polynomial over ring. Moreover.
ELOK SAHARANI, 080012091
core
The Ring of Polynomial Functors of Prime Degree
, 2015 Let $\hat\Z_p$ be the ring of $p$-adic integers. We prove in the present paper that the category of polynomial functors from finitely generated free abelian groups to $\hat \Z_p$-modules of degree at most $p$ is equivalent to the category of finitely ...
Zimmermann, Alexander
core +1 more source
Explicit formulas for chromatic polynomials of some series-parallel graphs
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 The main goal of our paper is to present explicit formulas for chromatic polynomials of some planar series-parallel graphs (sp-graphs). The necklace-graph considered in this paper is the simplest non-trivial sp-graph.
E.Yu. Lerner, S.A. Mukhamedjanova
doaj
, 2011 A new proof style adequate for modal logics is defined from the polynomial ring calculus. The new semantics not only expresses truth conditions of modal formulas by means of polynomials, but also permits to perform deductions through polynomial handling.
Agudelo, Juan C.
core
The Taylor resolution over a skew polynomial ring
Let k be a field and let I be a monomial ideal in the polynomial ring Q = k[x1, . . . , xn]. In her thesis, Taylor introduced a complex which provides a finite free resolution for Q/I as a Q-module.
Martin, Desiree +2 more
core +1 more source
Noncyclic BCH and Srivastava codes over the subgroup of the groups of units of Galois rings [Formula: see text] for advanced error control. [PDF]
Sci RepSajjad M +4 more
europepmc +1 more source
The Ring of Polynomial Functors of Prime Degree
, 2013 Let $\hat\Z_p$ be the ring of $p$-adic integers. We prove in the present paper that the category of polynomial functors from finitely generated free abelian groups to $\hat \Z_p$-modules of degree at most $p$ is equivalent to the category of finitely ...
Zimmermann, Alexander
core
GMDH-Guided Variable Prioritization in PAGE Block Growth of PEO-<i>b</i>-PAGE via Living Anionic Ring-Opening Polymerization. [PDF]
Polymers (Basel)Lee S, Jang JD, Bae J, Kim TH.
europepmc +1 more source
ON THE APPLICATION OF ALGEBRAIC CODING THEORY TO THE IDEALS OF THE POLYNOMIAL RING
, 2019 The polynomial ring Fn 2 [x ...
Fanuel, Olege
core