AbstractWe study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The main examples are the Clifford algebras already treated in H. Albuquerque and S. Majid (2002) [2]. We prove that the Clifford algebras are the only simple finite-dimensional associative graded commutative algebras over R or C. Our approach also leads to non-associative graded commutative algebras extending the Clifford algebras
www.uta.edu/math/vancliff Abstract. For decades, the study of graded Clifford algebras has provided ...
AbstractIn this paper, we examine a class of algebras which includes Lie algebras, Lie color algebra...
Abstract. The non-trivial Clifford algebras over the ring Z are non-commutative. On the other hand, ...
AbstractWe study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The ma...
References addedWe study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian ...
References addedWe study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian ...
References addedWe study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian ...
We study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The main examp...
International audienceWe consider $\G$-graded commutative algebras, where $\G$ is an abelian group. ...
International audienceWe consider $\G$-graded commutative algebras, where $\G$ is an abelian group. ...
International audienceWe consider $\G$-graded commutative algebras, where $\G$ is an abelian group. ...
AbstractLet R=⊕g∈GRg be a G-graded ring. We describe all types of gradings on R if G is torsion free...
We introduce the new notion of ε-graded associative algebras which takes its roots from the notion o...
AbstractLet R=⊕g∈GRg be a G-graded ring. We describe all types of gradings on R if G is torsion free...
AbstractIt is well known that Clifford algebras are group algebras deformed by a 2-cocycle. Furtherm...
www.uta.edu/math/vancliff Abstract. For decades, the study of graded Clifford algebras has provided ...
AbstractIn this paper, we examine a class of algebras which includes Lie algebras, Lie color algebra...
Abstract. The non-trivial Clifford algebras over the ring Z are non-commutative. On the other hand, ...
AbstractWe study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The ma...
References addedWe study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian ...
References addedWe study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian ...
References addedWe study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian ...
We study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The main examp...
International audienceWe consider $\G$-graded commutative algebras, where $\G$ is an abelian group. ...
International audienceWe consider $\G$-graded commutative algebras, where $\G$ is an abelian group. ...
International audienceWe consider $\G$-graded commutative algebras, where $\G$ is an abelian group. ...
AbstractLet R=⊕g∈GRg be a G-graded ring. We describe all types of gradings on R if G is torsion free...
We introduce the new notion of ε-graded associative algebras which takes its roots from the notion o...
AbstractLet R=⊕g∈GRg be a G-graded ring. We describe all types of gradings on R if G is torsion free...
AbstractIt is well known that Clifford algebras are group algebras deformed by a 2-cocycle. Furtherm...
www.uta.edu/math/vancliff Abstract. For decades, the study of graded Clifford algebras has provided ...
AbstractIn this paper, we examine a class of algebras which includes Lie algebras, Lie color algebra...
Abstract. The non-trivial Clifford algebras over the ring Z are non-commutative. On the other hand, ...
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