In the paper we will give a complete classification of finite-dimemsional simple Novikov algebras over an algebraically closed field with prime characteristic p>2.
In this paper we show that an A-module is a direct sum of a trivial module and a nosingular module,and we also give the structure of nonsingular module over infinite dimensional simple Novikov algebras of types (Ⅱ) a...In this paper we show that an A-module is a direct sum of a trivial module and a nosingular module,and we also give the structure of nonsingular module over infinite dimensional simple Novikov algebras of types (Ⅱ) and (Ⅲ) over a field F of Characteristic 0.展开更多
This paper gives some sufficient conditions for determining the simplicity of infinite di-mensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikovalgebras by extending the base fie...This paper gives some sufficient conditions for determining the simplicity of infinite di-mensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikovalgebras by extending the base field. At last, the deformation theory of Novikov algebras isintroduced.展开更多
文摘In the paper we will give a complete classification of finite-dimemsional simple Novikov algebras over an algebraically closed field with prime characteristic p>2.
文摘In this paper we show that an A-module is a direct sum of a trivial module and a nosingular module,and we also give the structure of nonsingular module over infinite dimensional simple Novikov algebras of types (Ⅱ) and (Ⅲ) over a field F of Characteristic 0.
文摘This paper gives some sufficient conditions for determining the simplicity of infinite di-mensional Novikov algebras of characteristic 0, and also constructs a class of simple Novikovalgebras by extending the base field. At last, the deformation theory of Novikov algebras isintroduced.
