✦ LIBER ✦

Simple Associative Algebras with FiniteZ-Grading

✍ Scribed by Oleg N. Smirnov

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 206 KB
Volume: 196
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7087

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Simple Jordan Color Algebras Arising fro

Simple Jordan Color Algebras Arising from Associative Graded Algebras

✍ Jeffrey Bergen; Piotr Grzeszczuk 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 220 KB

If R is a G-graded associative algebra, where G is an abelian group and ⑀ is a bicharacter for G, then R also has the structure of a Jordan color algebra. In addition, if R is endowed with a color involution ), then the symmetric elements S under ) are also a Jordan color algebra. Generalizing resul

Constructing Simple Lie Superalgebras fr

Constructing Simple Lie Superalgebras from Associative Graded Algebras

✍ S Montgomery 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 292 KB

Group Gradings on Associative Algebras

✍ Yu.A Bahturin; S.K Sehgal; M.V Zaicev 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 161 KB

Simple and Prime Graded Jordan Algebras

✍ Consuelo Martinez; E. Zelmanov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 271 KB

Weakly associative relation algebras wit

Weakly associative relation algebras with projections

✍ Agi Kurucz 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 194 KB

## Abstract Built on the foundations laid by Peirce, Schröder, and others in the 19th century, the modern development of relation algebras started with the work of Tarski and his colleagues [21, 22]. They showed that relation algebras can capture strong first‐order theories like ZFC, and so their e

Gradings, Derivations, and Automorphisms

Gradings, Derivations, and Automorphisms of Nearly Associative Algebras

✍ Jeffrey Bergen; Piotr Grzeszczuk 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 260 KB

In this paper, we examine a class of algebras which includes Lie algebras, Lie color algebras, right alternative algebras, left alternative algebras, antiassociative Ž . algebras, and associative algebras. We call this class of algebras ␣, ␤, ␥ -algebras and we examine gradings of these algebras by