Z2-gradings on the Grassmann algebra: construction; PI-equivalence; isomorphism
Grassmann algebra; Z2-grading; PI-equivalence; isomorphism
Let E be the Grassmann algebra and Z2 the ciclyc group of order 2. Tha algebra E has
strong presence in large field of knowledge, as Physical, Geometry, beyond algebra. The goal of
this work is to study the possible non-homogeneous Z2-gradings on E from the point of view of
PI-theory. We will study recent results related to construction of non-homogeneous Z2-
gradings on E and, after, we describe theorems on PI-equivalence and isomorphisms of these
structures.