We consider associative PI-algebras over an algebraically closed field of zero characteristic
graded by a finite abelian group G. It is proved that in this case the ideal of graded identities …

The Virasoro algebra, defined by the basis elements {L n, c ˆ} n∈ Z with commutation
relations [L m, L n]=(m− n) L m+ n+ δ m+ n, 0⋅(C mc ˆ) and [L m, c ˆ]= 0, is an infinite …

The verbally prime algebras are well understood in characteristic 0 while over a field of
positive characteristic p> 2 little is known about them. In previous papers we discussed …

We describe the Z2-graded central polynomials for the matrix algebra of order two, M2 (K),
and for the algebras M1, 1 (E) and E⊗ E over an infinite field K, charK≠ 2. Here E is the …

We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a
field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading …

The verbally prime algebras are well understood in characteristic 0 while over a field of
positive characteristic p> 2 little is known about them. In previous papers we discussed …

Let E be the infinite-dimensional Grassmann algebra over a field F of characteristic 0. In this
article, we consider the verbally prime algebras M n (F), M n (E) and M a, b (E) endowed with …

GRADED IDENTITIES FOR ALGEBRAS WITH ELEMENTARY GRADINGS OVER AN
INFINITE FIELD Page 1 Proceedings of the Edinburgh Mathematical Society (2022) 65, 146–166 …

The algebras A a, b appeared in the study of the tensor products of verbally prime PI
algebras. They are in-between the well known algebras M n (E) and M_ a, b (E) ⊗ E, see the …

On the graded identities of the Grassmann algebra Page 1 ISSN 2148-838X http://dx.doi.org/10.13069/jacodesmath.284959
J. Algebra Comb. Discrete Appl. 4(2) • 165–180 Received: 14 June 2015 Accepted: 21 …