-graded polynomial identities for
Onofrio Mario Di Vincenzo, Vincenzo Nardozza (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Onofrio Mario Di Vincenzo, Vincenzo Nardozza (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.
Kwaśniewski, A. K.
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2000 Mathematics Subject Classification: 16R10, 16R20, 16R50 The algebra Mn(K) of the matrices n × n over a field K can be regarded as a Z-graded algebra. In this paper, it is proved that if K is an infinite field, all the Z-graded polynomial identities of Mn(K) follow from the identities: x = 0, |α(x)| ≥ n, xy = yx, α(x) = α(y) = 0, xyz = zyx, α(x) = −α(y) = α(z ), where α is the degree of the corresponding variable. This is a generalization of a result of Vasilovsky about...
Dubois-Violette, M., Kerner, R. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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