Results 71 to 80 of about 8,071 (246)
On the additive image of zeroth persistent homology
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
Fuzzy and Gradual Prime Ideals
There is a correspondence between equivalence classes of fuzzy ideals, on a commutative ring, and decreasing gradual ideals. In this paper, we explore how to construct a fuzzy ideal starting from any decreasing gradual ideal σ.
Pascual Jara, Salwa Mohamed
doaj +1 more source
Unitary Invertible Graphs of Finite Rings
Let R be a finite commutative ring with unity. In this paper, we consider set of additive and mutual additive inverses of group units of R and obtain interrelations between them.
Chalapathi Tekuri, Sajana Shaik
doaj +1 more source
$G$-nilpotent units of commutative group rings [PDF]
summary:Suppose $R$ is a commutative unital ring and $G$ is an abelian group. We give a general criterion only in terms of $R$ and $G$ when all normalized units in the commutative group ring $RG$ are $G$-nilpotent.
Danchev, Peter
core +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Ring homomorphisms on real Banach algebras
Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
doaj +1 more source
In The Graph Based on a Given Ideal of a Ring
In this paper we introduce a new kind of graph associated with a commutative ring with identity, and we discover some of its characterizations and properties. Let R be a commutative ring with identity and K be a non-trivial ideal of R.
friad husen abdulqadr
doaj +1 more source
The Zero Divisor Graphs of a finite Certain Rings [PDF]
For each commutative ring we associate a ...
Nazar H. Shuker, Husam Q. Mohammad
doaj +1 more source
ABSTRACT Rett syndrome is a neurodevelopmental disorder caused by an X‐linked mutation of the MeCP2 gene. Individuals with Rett syndrome, as well as rodent models of this disorder, demonstrate abnormal cortical responses to sound, which impair auditory discrimination ability.
Isabella K. Myers +6 more
wiley +1 more source
A commutative version of the group ring
We construct a commutative version of the group ring and show that it allows one to translate questions about the normal generation of groups into questions about the generation of ideals in commutative rings.
Mannan, Wajid
core +1 more source

