𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Algebraic derivations with constants satisfying a polynomial identity

✍ Scribed by Chen-Lian Chuang; Tsiu-Kwen Lee

Publisher
The Hebrew University Magnes Press
Year
2003
Tongue
English
Weight
820 KB
Volume
138
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Eulerian Polynomial Identities and Algeb
Eulerian Polynomial Identities and Algebras Satisfying a Standard Identity
✍ M. Domokos πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 553 KB

Using the trivial observation that one can get polynomial identities on \(R\) from the ones of \(M_{k}(R)\) we derive from the Amitsur-Levitzki theorem a subset of the identities on \(n \times n\) matrices, obtained recently by Szigeti, Tuza, and RΓ©vΓ©sz starting from directed Eulerian graphs, which

Skew Derivations Whose Invariants Satisf
Skew Derivations Whose Invariants Satisfy a Polynomial Identity
✍ Jeffrey Bergen; Piotr Grzeszczuk πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 202 KB

If Οƒ is an automorphism and Ξ΄ is a q-skew Οƒ-derivation of a ring R, then the subring of invariants is the set R Ξ΄ = r ∈ R Ξ΄ r = 0 . The main result of this paper is Theorem. Let R be a prime algebra with a q-skew Οƒ-derivation Ξ΄, where Ξ΄ and Οƒ are algebraic. If R Ξ΄ satisfies a P. I., then R satisfies

Height-One Prime Ideals in Semigroup Alg
Height-One Prime Ideals in Semigroup Algebras Satisfying a Polynomial Identity
✍ Eric Jespers; Qiang Wang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 120 KB

For a submonoid S of a torsion-free abelian-by-finite group, we describe the height-one prime ideals of the semigroup algebra K S . As an application we investigate when such algebras are unique factorization rings.  2002 Elsevier Science (USA) Let S be a submonoid of a group. In this paper we inv