𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Herstein's theorems relating Jordan and associative algebras

✍ Scribed by Kevin McCrimmon

Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
590 KB
Volume
13
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On Hersteinβ€²s Theorems Relating Modulari
On Hersteinβ€²s Theorems Relating Modularity in A and A(+)
✍ J.A. Anquela πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 414 KB

In this paper we examine the relationship between the lattices of subalgebras of \(A\) and \(A^{(+)}\)(for \(A\) an associative algebra) with respect to the property of being modular, by defining a radical-type ideal which measures this modular behavior. 1994 Academic Press, Inc

Herstein's Theorems and Simplicity of He
Herstein's Theorems and Simplicity of Hermitian Jordan Systems
✍ JosΓ© A Anquela; Teresa CortΓ©s; Esther Garcı́a πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 186 KB

dedicated to professor j. marshall osborn on the occasion of his retirement In this paper we extend Herstein's first construction relating associative and Jordan ideals to pairs and triple systems. As a consequence we show that an associative pair or triple system is simple if and only if its Jorda

Cauchy's Integral Theorem on a Finitely
Cauchy's Integral Theorem on a Finitely Generated, Real, Commutative, and Associative Algebra
✍ Paul S. Pedersen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 317 KB

Let R[:]=R[: 1 , : 2 , ..., : n ] (where : 1 =1) be a real, unitary, finitely generated, commutative, and associative algebra. We consider functions We impose a total order on an algorithmically defined basis B for R[:]. The resulting algebra and ordered basis will be written as (R[:], <). We then

Identities for Generalized Lie and Jorda
Identities for Generalized Lie and Jordan Products on Totally Associative Triple Systems
✍ Murray Bremner; Irvin Hentzel πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 110 KB

We determine the identities of degree F 9 satisfied by the new ternary opera-Ε½ . tions abc q bca q cab q acb q bac q cba symmetric sum , abc q bca q cab y Ε½ . Ε½ . acb y bac y cba alternating sum , and abc q bca q cab cyclic sum on every Ε½ . Ε½ . triple system satisfying the total associativity identi