Noncommutative Jordan Algebras with Commutators Satisfying an Alternativity Condition | Zendy

Richard E. Block | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Noncommutative Jordan Algebras with Commutators Satisfying an Alternativity Condition

Author(s) -

Richard E. Block

Publication year - 1970

Publication title -

proceedings of the national academy of sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.011

H-Index - 771

eISSN - 1091-6490

pISSN - 0027-8424

DOI - 10.1073/pnas.65.1.10

Subject(s) - noncommutative geometry , unification , mathematics , simple (philosophy) , class (philosophy) , jordan algebra , algebra over a field , associative property , non associative algebra , pure mathematics , representation (politics) , algebra representation , computer science , philosophy , epistemology , artificial intelligence , politics , political science , law , programming language

The theorems of this paper show that the main results in the structure and representation theory of Jordan algebras and of alternative algebras are valid for a larger class of algebras defined by simple identities which obviously hold in the Jordan and alternative cass. A new unification of the Jordan and associative theories is also achieved.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research