Results 21 to 30 of about 65,303,466 (248)

Group Rings Satisfying a Polynomial Identity. III [PDF]

Proceedings of the American Mathematical Society, 1971
Let K[G] denote the group ring of G over the field K and let A denote the F.C. subgroup of G. In this paper we show that if K[G] satisfies a polynomial identity of degree n, then [G: Al] < n/2. Moreover this bound is best possible. If K[G] satisfies a polynomial identity of degree n, then it is known that [G: A] < 0o.
openaire   +3 more sources

A quadratic Poisson Gel'fand-Kirillov problem in prime characteristic [PDF]

, 2015
The quadratic Poisson Gel’fand-Kirillov problem asks whether the field of fractions of a Poisson algebra is Poisson birationally equivalent to a Poisson affine space, i.e. to a polyno-mial algebra K[X1,..., Xn] with Poisson bracket defined by {Xi, Xj} =
Lecoutre, Cesar, S Launois, C Lecoutre, Launois, Stephane   +3 more
core   +1 more source

Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]

, 2007
Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Rehman, Nadeem-ur, Bell, Howard E., Howard E. Bell, Nadeem-ur Rehman   +3 more
core   +1 more source

Rota-Baxter operators on the polynomial algebras, integration and averaging operators [PDF]

, 2014
The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x] k[x] .
Guo, Li, Zheng, Shanghua, Rosenkranz, Markus, Markus Rosenkranz, Shanghua Zheng, Li Guo   +5 more
core   +1 more source

S-J-Ideals: A Study in Commutative and Noncommutative Rings

Journal of Mathematics
In this paper, we introduce the concept of S-J-ideals in both commutative and noncommutative rings. For a commutative ring R and a multiplicatively closed subset S, we show that many properties of J-ideals apply to S-J-ideals and examine their ...
Alaa Abouhalaka, Hatice Çay, Bayram Ali Ersoy   +2 more
doaj   +1 more source

On primitive ideals in graded rings [PDF]

, 2008
Let R = circle plus(infinity)(i=1) Ri be a graded nil ring. It is shown,that primitive ideals in R are homogeneous. Let A = circle plus(infinity)(i=1) Ai be a graded non-PI just-infinite dimensional algebra and let I be a prime ideal in A.
Smoktunowicz, Agata
core   +1 more source

Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry

FEBS Letters, EarlyView.
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri, Ayaka Nagasato‐Ichikawa, Keita Iida, Shuhei Kimura, Akira Imamoto, Mariko Okada   +5 more
wiley   +1 more source

Hierarchical Identity-Based Signature in Polynomial Rings

The Computer Journal, 2020
Abstract Hierarchical identity-based signature (HIBS) plays a core role in a large community as it significantly reduces the workload of the root private key generator. To make HIBS still available and secure in post-quantum era, constructing lattice-based schemes is a promising option.
Zhichao Yang 0002, Dung Hoang Duong, Willy Susilo, Guomin Yang, Chao Li 0002, Rongmao Chen   +5 more
openaire   +2 more sources

Polynomial Poisson algebras: Gel'fand-Kirillov problem and Poisson spectra [PDF]

, 2014
We study the fields of fractions and the Poisson spectra of polynomial Poisson algebras. First we investigate a Poisson birational equivalence problem for polynomial Poisson algebras over a field of arbitrary characteristic.
Lecoutre, César
core  

TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]

, 2010
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