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Displaying 61 – 80 of 105

On the nilpotency of the Jacobson radical of semigroup rings.

Kelarev, A.V. (1994)

Acta Mathematica Universitatis Comenianae. New Series

On the weak regularity of semigroup rings.

F. Li (1994)

Semigroup forum

On weakened $(α, δ)$ -skew Armendariz rings

Alireza Majdabadi Farahani, Mohammad Maghasedi, Farideh Heydari, Hamidagha Tavallaee (2022)

Mathematica Bohemica

In this note, for a ring endomorphism $α$ and an $α$ -derivation $δ$ of a ring $R$ , the notion of weakened $(α, δ)$ -skew Armendariz rings is introduced as a generalization of $α$ -rigid rings and weak Armendariz rings. It is proved that $R$ is a weakened $(α, δ)$ -skew Armendariz ring if and only if $T_{n} (R)$ is weakened $(\bar{α}, \bar{δ})$ -skew Armendariz if and only if $R [x] / (x^{n})$ is weakened $(\bar{α}, \bar{δ})$ -skew Armendariz ring for any positive integer $n$ .

On $\tilde{ρ}$ -separability in skew polynomial rings.

Lou, Xialong (1994)

Portugaliae Mathematica

Opérateurs sur les polynômes non commutatifs définitions et notations

Claude Lenormand (1969/1970)

Séminaire Schützenberger

Ore extensions over near pseudo-valuation rings.

Bhat, V.K. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

PBW-bases of quantum groups.

Claus Michael Ringel (1996)

Journal für die reine und angewandte Mathematik

Polynomial and transformation composition rings.

Veldsman, S. (2000)

Beiträge zur Algebra und Geometrie

Polynomial rings over pseudovaluation rings.

Bhat, V.K. (2007)

International Journal of Mathematics and Mathematical Sciences

Présentation jordanienne de l'algèbre de Weyl A₂

J. Alev, F. Dumas (2001)

Annales Polonici Mathematici

Let k be a commutative field. For any a,b∈ k, we denote by $J_{a, b} (k)$ the deformation of the 2-dimensional Weyl algebra over k associated with the Jordanian Hecke symmetry with parameters a and b. We prove that: (i) any $J_{a, b} (k)$ can be embedded in the usual Weyl algebra A₂(k), and (ii) $J_{a, b} (k)$ is isomorphic to A₂(k) if and only if a = b.