Results 51 to 60 of about 62,478 (178)

On hereditary irreducibility of some monomial matrices over local rings

Karpatsʹkì Matematičnì Publìkacìï, 2021
We consider monomial matrices over a commutative local principal ideal ring $R$ of type $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0\,\,&tI_{n-k}\end{smallmatrix}\right ...
A.A. Tylyshchak, M. Demko
doaj   +1 more source

Intuitionistic fuzzy Nakayama's Lemma [PDF]

Notes on IFS
Drawing upon Atanassov's pioneering work on intuitionistic fuzzy sets [1], this paper presents the concept of intuitionistic fuzzy Nakayama's Lemma, offering a natural extension to Rajesh Kumar et al.'s fuzzy Nakayama's Lemma [8]. Additionally, we define
S. Achik, I. Bakhadach, M. Oukessou, S. Melliani   +3 more
doaj   +1 more source

Brauer configuration algebras: A generalization of Brauer graph algebras

, 2017
In this paper we introduce a generalization of a Brauer graph algebra which we call a Brauer configuration algebra. As with Brauer graphs and Brauer graph algebras, to each Brauer configuration, there is an associated Brauer configuration algebra.
Green, Edward L., Schroll, Sibylle
core   +1 more source

Cyclically presented modules, projective covers and factorizations

, 2013
We investigate projective covers of cyclically presented modules, characterizing the rings over which every cyclically presented module has a projective cover as the rings $R$ that are Von Neumann regular modulo their Jacobson radical $J(R)$ and in which
Facchini, Alberto, Smertnig, Daniel, Tung, Nguyen Khanh   +2 more
core   +1 more source

On Generalized Periodic-Like Rings

International Journal of Mathematics and Mathematical Sciences, 2007
Let R be a ring with center Z, Jacobson radical J, and set N of all nilpotent elements. Call R generalized periodic-like if for all x∈R∖(N∪J∪Z) there exist positive integers m, n of opposite parity for which xm−xn∈N∩Z.
Howard E. Bell, Adil Yaqub
doaj   +1 more source

Non-unique factorization of polynomials over residue class rings of the integers

, 2011
We investigate non-unique factorization of polynomials in Z_{p^n}[x] into irreducibles. As a Noetherian ring whose zero-divisors are contained in the Jacobson radical, Z_{p^n}[x] is atomic.
Anderson D. D., Christopher Frei, Frisch S., McDonald B. R., Sophie Frisch, Wan Z.-X.   +5 more
core   +1 more source

On squares of Jacobson radical rings [PDF]

Bulletin of the Australian Mathematical Society, 1996
We construct several examples of Jacobson radical rings which are not squares of other rings.
Puczyłowski, E. R., Zand, H.
openaire   +1 more source

On the left strongly prime modules and their radicals

Lietuvos Matematikos Rinkinys, 2010
We give the new results on the theory of the one-sided (left) strongly prime modules and their strongly prime radicals. Particularly, the conceptually new and short proof of the A.L.Rosenberg’s theorem about one-sided strongly prime radical of the ring ...
Algirdas Kaučikas
doaj   +1 more source

Conjetura de Jacobson y extensiones PBW torcidas

Revista Integración, 2014
El propósito de este artículo es calcular el radical de Jacobson de las extensiones PBW torcidas sobre dominios. Como consecuencia de este resultado obtenemos una relación directa entre estas extensiones y la conjetura de Jacobson, lo cual nos permite ...
Armando Reyes
doaj  

Structure of weakly periodic rings with potent extended commutators

International Journal of Mathematics and Mathematical Sciences, 2001
A well-known theorem of Jacobson (1964, page 217) asserts that a ring R with the property that, for each x in R, there exists an integer n(x)>1 such that xn(x)=x is necessarily commutative.
Adil Yaqub
doaj   +1 more source