Unified products for alternative and pre-alternative algebras

Abstract

The theory of unified product and extending structures for alternative and pre-alternative algebras are developed. It is proved that the extending structures of these algebras can be classified by using some non-abelian cohomology and deformation map theory.

25pages, 0figures. some typos are corrected. arXiv admin note: substantial text overlap with arXiv:1511.08571 by other authors