Results 71 to 80 of about 206 (186)

Nilpotency of derivations in prime rings [PDF]

Proceedings of the American Mathematical Society, 1995
In 1957, E. C. Posner proved that if λ \lambda and δ \delta are derivations of a prime ring R, characteristic R ≠ 2 R \ne 2 , then λ δ = 0 \lambda \delta = 0 implies either λ = 0 \lambda = 0
openaire   +1 more source

The relative Hodge–Tate spectral sequence for rigid analytic spaces

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley   +1 more source

Rings in Which Element is a Sum of the Transformation Elements of Idempotents and Special Elements

Journal of Mathematics
In this article, further generalizations are made for the nil clean ring and the ur-clean ring, obtained as extensions of the clean ring. Firstly, consider rings where each element can be expressed as n idempotents plus one nilpotent, any two commute ...
Xinsong Yang, Jiaxin Liu
doaj   +1 more source

On Nilpotent Elements of Skew Polynomial Rings

Journal of Mathematical Extension, 2012
We study the structure of the set of nilpotent elements in skew polynomial ring R[x; α], when R is an α-Armendariz ring. We prove that if R is a nil α-Armendariz ring and α t = IR, then the set of nilpotent elements of R is an α-compatible subrng of ...
J. Esmaeili, E. Hashemi
doaj  

On exact correlation functions of chiral ring operators in 2d N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ SCFTs via localization

Journal of High Energy Physics, 2018
We study the extremal correlation functions of (twisted) chiral ring operators via superlocalization in N = 2 , 2 $$ \mathcal{N}=\left(2,\ 2\right) $$ superconformal field theories (SCFTs) with central charge c ≥ 3, especially for SCFTs with Calabi-Yau ...
Jin Chen
doaj   +1 more source

ON NIL-SYMMETRIC RINGS AND MODULES SKEWED BY RING ENDOMORPHISM

Science Journal of University of Zakho
The symmetric property plays an important role in non-commutative ring theory and module theory.  In this paper, we study the symmetric property with one element of the ring  and two nilpotent elements of  skewed by ring endomorphism  on rings ...
Ibrahim Mustafa, Chnar Abdulkareem Ahmed
doaj   +1 more source

On the genus of nil-graph of ideals of commutative rings

Arab Journal of Mathematical Sciences, 2017
Let R be a commutative ring with identity and let Nil(R) be the ideal of all nilpotent elements of R. Let I(R)={I:I is a non-trivial ideal of R and there exists a non-trivial ideal J such that IJ⊆Nil(R)}.
T. Tamizh Chelvam, K. Selvakumar, P. Subbulakshmi   +2 more
doaj   +1 more source

Some Properties of the Nil-Graphs of Ideals of Commutative Rings

پژوهش‌های ریاضی, 2022
Let R be a commutative ring with identity and Nil(R) be the set of nilpotent elements of R. The nil-graph of ideals of R is defined as the graph AG_N(R) whose vertex set is {I:(0)and there exists a non-trivial ideal  such that  and two distinct vertices  
Reza Nikandish
doaj  

Generalizations of quasielliptic curves [PDF]

Épijournal de Géométrie Algébrique
We generalize the notion of quasielliptic curves, which have infinitesimal symmetries and exist only in characteristic two and three, to a remarkable hierarchy of regular curves having infinitesimal symmetries, defined in all characteristics and having ...
Cesar Hilario, Stefan Schröer
doaj   +1 more source

The prime graph conjecture for integral group rings of some alternatings groups [PDF]

International Journal of Group Theory, 2013
We investigate the classical Zassenhaus Conjecture (ZC) for integral group rings of alternating groups A9 and A10. Even the question (ZC) remains open as no counterexample is known up to date, it been confirmed for special types of groups such as ...
Mohamed Salim
doaj