Jan 5, 2017 � Abstract:Let A be a finite dimensional real algebra with a division grading by a finite abelian group G. In this paper we provide finite�...

Let A A be a finite dimensional simple real algebra with a division grading by a finite abelian group G G . In this paper, we provide a finite basis for the�...

Abstract. Let $A$ be a finite dimensional real algebra with a division grading by a finite abelian group $G$. In this paper we provide finite basis for the�...

Oct 17, 2017 � Introduction. A central problem in the theory of algebras satisfying polynomial identities (p. i. algebras) is the Specht problem on the�...

IDENTITIES AND CENTRAL POLYNOMIALS OF REAL GRADED DIVISION ALGEBRAS 5. Our next theorem is the analogous result for graded central polynomials. In its proof�...

In this paper, we provide a finite basis for the [Formula: see text]-ideal of graded polynomial identities for [Formula: see text] and a finite basis for the [�...

Diogo Diniz, Claudemir Fidelis, S�rgio Mota: Identities and central polynomials for real graded division algebras. Int. J. Algebra Comput.

Apr 15, 2018 � Two finite dimensional simple algebras over an algebraically closed field are isomorphic if and only if they satisfy the same polynomial identities.

Jul 30, 2021 � In this paper we provide a basis for the graded identities (resp. central polynomials) of the R-hull of A, assuming that a (suitable) basis for�...

Introduction. In this manuscript, we treat the well-known question whether having the same set of polynomial identities guarantees the isomorphism of�...