Artículos de revistas
ℤ2-graded Gelfand-kirillov Dimension Of The Grassmann Algebra
Registro en:
International Journal Of Algebra And Computation. World Scientific Publishing Co. Pte Ltd, v. 24, n. 3, p. 365 - 374, 2014.
2181967
10.1142/S0218196714500167
2-s2.0-84901674139
Autor
Centrone L.
Institución
Resumen
We consider the infinite dimensional Grassmann algebra E over a field F of characteristic 0 or p, where p > 2, and we compute its ℤ2- graded Gelfand-Kirillov (GK) dimension as a ℤ2-graded PI-algebra. © World Scientific Publishing Company. 24 3 365 374 Aljadeff, E., Giambruno, A., La Mattina, D., (2011) Graded Polynomial Identities and Exponential Growth J. Reine Angew. Math., 650, pp. 83-100 Bahturin, Yu.A., Zaicev, M.V., Identities of graded algebras and codimension growth (2004) Transactions of the American Mathematical Society, 356 (10), pp. 3939-3950. , DOI 10.1090/S0002-9947-04-03426-9, PII S0002994704034269 Berele, A., Generic verbally prime PI-algebras and their GK-dimensions (1993) Comm. Algebra, 21 (5), pp. 1487-1504 Centrone, L., Z2-graded identities of the Grassmann algebra in positive characteristic (2011) Linear Algebra Appl., 435 (12), pp. 3297-3313 Centrone, L., The graded Gelfand-Kirillov dimension of verbally prime algebras (2011) Linear Multilinear Algebra, 59 (12), pp. 1433-1450 Centrone, L., A note on graded Gelfand-Kirillov dimension of graded algebras (2011) J. Algebra Appl., 10 (5), pp. 865-889 Centrone, L., On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras (2012) Serdica Math. J., 38 (1), pp. 43-68 Centrone, L., Z2-graded Gelfand-Kirillov Dimension of the Grassmann Algebra, , http://arxiv.org/abs/1402.1403 Di Vincenzo, O.M., Da Silva, V.R.T., On Z2-graded polynomial identities of the Grassmann algebra (2009) Linear Algebra Appl., 431 (1-2), pp. 56-72 Drensky, V., Gelfand-Kirillov dimension of PI-algebras, in Methods in Ring Theory (1998) Lecture Notes in Pure and Applied Mathematics, 198, pp. 97-113. , Dekker, New York Giambruno, A., Koshlukov, P., On the identities of the Grassmann algebras in characteristic p > 0 (2001) Israel J. Math., (122), pp. 305-316 Giambruno, A., Zaicev, M., On codimension growth of finitely generated associative algebras (1998) Advances in Mathematics, 140 (2), pp. 145-155. , DOI 10.1006/aima.1998.1766, PII S0001870898917662 Giambruno, A., Zaicev, M.V., Exponential codimension growth of p.i algebras: An exact estimate (1999) Adv. Math., 142, pp. 221-243 Giambruno, A., Zaicev, M.V., (2005) Polynomial Identities and Asymptotic Methods Mathematical Surveys Monographs, 122. , American Mathematical Society Kemer, A., Ideals of identities of associative algebras (1991) Translation of Mathematical Monographs, 87. , American Mathematical Society, Providence, RI Kemer, A., Remarks on the prime varieties israel (1996) J. Math., 96 B, pp. 341-356 Krakovski, D., Regev, A., The polynomial identities of the Grassmann algebra (1973) Trans. Amer. Math. Soc., 181, pp. 429-438 Krause, G.R., Lenagan, T.H., Growth of algebras and gelfand-kirillov dimension revised (2000) Graduate Studies in Mathematics, 22. , American Mathematical Society, Providence, RI Procesi, C., Non-commutative affine rings (1967) Atti Accad. Naz. Lincei Mem. Cl. Sci. Fis. Mat. Natur. Sez., I 8 (8), pp. 237-255 Regev, A., (1972) Existence of Identities in A ⊗ B Israel J. Math., 11, pp. 131-152 Regev, A., Grassmann algebras over finite fields (1991) Comm. Algebra, 19 (6), pp. 1829-1849