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|Type:||Artigo de periódico|
|Title:||On ℤ2-graded Identities Of Ut 2 (e) And Their Growth|
Da Silva V.R.T.
|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) with entries in E endowed with the ℤ2-grading inherited by the natural Z2-grading of E and we study its ideal of ℤ2-graded polynomial identities (Tℤ2-ideal) and its relatively free algebra. In particular we show that the set of ℤ2-graded polynomial identities of UT2(E) does not depend on the characteristic of the field. Moreover we compute the ℤZ2-graded Hilbert series of UT2(E) and its ℤZ2-graded Gelfand-Kirillov dimension.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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