Results 21 to 30 of about 1,866,718 (102)
This paper is the continuation of the work started in [12]. The present paper is devoted to the study of ideals of neutrosophic rings.
Adeleke E.O +2 more
core +1 more source
Strongly clean triangular matrix rings with endomorphisms
A ring $R$ is strongly clean provided that every element in $R$ is the sum of an idempotent and a unit that commutate. Let $T_n(R,σ)$ be the skew triangular matrix ring over a local ring $R$ where $σ$ is an endomorphism of $R$. We show that $T_2(R,σ)$ is strongly clean if and only if for any $a\in 1+J(R), b\in J(R)$, $l_a-r_{σ(b)}: R\to R$ is ...
Chen H., Kose H., Kurtulmaz, Y.
openaire +5 more sources
Smarandache Non-Associative (SNA-) rings [PDF]
In this paper we introduce the concept of Smarandache non-associative rings, which we shortly denote as SNA-rings as derived from the general definition of a Smarandache Structure (i.e., a set A embedded with a week structure W such that a proper subset ...
Vasantha Kandasamy, W.B.
core +1 more source
Endomorphism rings and formal matrix rings of pseudo-projective modules
A module M is called pseudo-projective if every epimorphism from M to each quotient module of M can be lifted to an endomorphism of M. In this paper, we study some properties of pseudo-projective modules and their endomorphism rings. It shows that if M is a self-cogenerator pseudo-projective module with finite hollow dimension, End(M) is a ...
Dao Trang, Banh Dung
openaire +1 more source
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)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Zhongkui, Liu, Xiaoyan, Yang
core +1 more source
Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj +1 more source
Modular analogs of character formulas and minimal lifts of modular forms
Abstract If f$f$ is a mod‐3 eigenform of weight 2 and level Γ0(ℓ2)$\Gamma _0(\ell ^2)$ for a prime ℓ$\ell$ such that ℓ≡−1(mod3)$\ell \equiv -1 \pmod {3}$, and ℓ$\ell$ is a vexing prime for f$f$, we show that there is no obstruction to finding a minimal lift of f$f$, but that there is an obstruction to finding a nonminimal lift.
Patrick B. Allen, Preston Wake
wiley +1 more source
The structure of balanced rings [PDF]
Dlab V, Ringel CM. The structure of balanced rings. Proceedings of the London Mathematical Society.
Dlab, Vlastimil, Ringel, Claus Michael
core +1 more source
Isometric immersions into three‐dimensional unimodular metric Lie groups
Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro +2 more
wiley +1 more source

