| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4599152 | Linear Algebra and its Applications | 2015 | 31 Pages |
Abstract
Let F be an infinite field of characteristic different from two and E be the infinite dimensional Grassmann algebra over F . We consider the upper triangular matrix algebra UT2(E)UT2(E) with entries in E endowed with the Z2Z2-grading inherited by the natural Z2Z2-grading of E and we study its ideal of Z2Z2-graded polynomial identities (TZ2TZ2-ideal) and its relatively free algebra. In particular we show that the set of Z2Z2-graded polynomial identities of UT2(E)UT2(E) does not depend on the characteristic of the field. Moreover we compute the Z2Z2-graded Hilbert series of UT2(E)UT2(E) and its Z2Z2-graded Gelfand–Kirillov dimension.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lucio Centrone, Viviane Ribeiro Tomaz da Silva,