Results 41 to 50 of about 226,788 (288)
Electronically Driven 1D Cooperative Diffusion in a Simple Cubic Crystal
Physical Review X, 2021 Atomic diffusion is a spontaneous process and significantly influences properties of materials, such as fracture toughness, creep-fatigue properties, thermal conductivity, thermoelectric properties, etc.
Yong Wang +8 more
doaj +1 more source
Extensions of three classical theorems to modules with maximum condition for finite matrix subgroups [PDF]
, 1998 In this article analogues of the Hilbert Basis Theorem, the Artin-Rees Lemma and the Krull Intersection Theorem are shown for modules with ascending chain condition for finite matrix subgroups.
Zimmermann, Wolfgang
core +1 more source
Advances in Mechanical Engineering, 2019 Crack initiation characteristics of ring chain of heavy-duty scraper conveyor under time-varying loads were investigated in this study. The dynamic tension of ring chain of the heavy-duty scraper conveyor was obtained using the time-varying dynamic ...
Dagang Wang +4 more
doaj +1 more source
Random motion on finite rings, I: commutative rings
, 2019 We consider irreversible Markov chains on finite commutative rings randomly generated using both addition and multiplication. We restrict ourselves to the case where the addition is uniformly random and multiplication is arbitrary.
Ayyer, Arvind, Singla, Pooja
core +1 more source
Finite Commutative Chain Rings
Finite Fields and Their Applications, 2001 A commutative ring with unit is called a chain ring if all its ideals form a chain under inclusion. All finite chain rings can be obtained in the following way: Let \(p\) be a prime, \(n,r>0\), \(f\in \mathbb{Z}_{p^n}[X]\) a monic polynomial, \(\deg(f)=r\) whose image in \(\mathbb{Z}_p[X]\) is irreducible and let \(\text{GR} (p^n,r): =\mathbb{Z}_{p^n ...
openaire +1 more source
Finitely generated modules and chain rings
Rendiconti del Seminario Matematico della Università di Padova, 2016 This paper investigated finitely generated singular modules over a right chain ring R . We show that these modules behave similar to those over valuation rings provided R
Ulrich Albrecht, Gregg Scible
openaire +1 more source
Enumeration of finite commutative chain rings
Journal of Algebra, 1973 AbstractA chain ring is an associative, commutative ring with an identity whose ideals form a chain. We associate with each finite chain ring five invariants (integers) and determine (in certain cases) the number of isomorphism classes of rings with given invariants.
Clark, W.Edwin, Liang, Joseph J
openaire +1 more source
Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]
, 2011 This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész +38 more
core +2 more sources
Galois correspondence on linear codes over finite chain rings [PDF]
Discrete Mathematics, 2020 Given $\texttt{S}|\texttt{R}$ a finite Galois extension of finite chain rings and $\mathcal{B}$ an $\texttt{S}$-linear code we define two Galois operators, the closure operator and the interior operator. We proof that a linear code is Galois invariant if and only if the row standard form of its generator matrix has all entries in the fixed ring by the ...
Tabue, Alexandre Fotue +2 more
openaire +2 more sources
Indecomposable injective modules of finite Malcev rank over local commutative rings
, 2013 It is proven that each indecomposable injective module over a valuation domain $R$ is polyserial if and only if each maximal immediate extension $\widehat{R}$ of $R$ is of finite rank over the completion $\widetilde{R}$ of $R$ in the $R$-topology.
Couchot, Francois
core +2 more sources