dc.creator | Di Vincenzo O.M. | |
dc.creator | Koshlukov P. | |
dc.date | 2011 | |
dc.date | 2015-06-30T20:18:58Z | |
dc.date | 2015-11-26T14:47:59Z | |
dc.date | 2015-06-30T20:18:58Z | |
dc.date | 2015-11-26T14:47:59Z | |
dc.date.accessioned | 2018-03-28T21:58:40Z | |
dc.date.available | 2018-03-28T21:58:40Z | |
dc.identifier | | |
dc.identifier | Journal Of Pure And Applied Algebra. , v. 215, n. 3, p. 262 - 275, 2011. | |
dc.identifier | 224049 | |
dc.identifier | 10.1016/j.jpaa.2010.04.018 | |
dc.identifier | http://www.scopus.com/inward/record.url?eid=2-s2.0-77958168388&partnerID=40&md5=141c5bdc74fb0f4131c7a1588a8c94ec | |
dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/107543 | |
dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/107543 | |
dc.identifier | 2-s2.0-77958168388 | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1253477 | |
dc.description | In this paper we consider the algebra M1,1(E) endowed with the involution * induced by the transposition superinvolution of the superalgebra M1,1(F) of 2×2-matrices over the field F. We study the *-polynomial identities for this algebra in the case of characteristic zero. We describe a finite set generating the ideal of its *-identities. We also consider Mn(E), the algebra of n×n matrices over the Grassmann algebra E. We prove that for a large class of involutions defined on it any *-polynomial identity is indeed a polynomial identity. A similar result holds for the verbally prime algebra Mk,l(E). © 2010 Elsevier B.V. | |
dc.description | 215 | |
dc.description | 3 | |
dc.description | 262 | |
dc.description | 275 | |
dc.description | Bahturin, Y., Giambruno, A., Group gradings on associative algebras with involution (2008) Canad. Math. Bull., 51, pp. 182-194 | |
dc.description | Bahturin, Y., Shestakov, I., Zaicev, M., Gradings on simple Jordan and Lie algebras (2005) J. Algebra, 283, pp. 849-868 | |
dc.description | Bahturin, Y., Tvalavadze, M., Tvalavadze, T., Group gradings on superinvolution simple superalgebras (2009) Linear Algebra Appl., 31, pp. 1054-1069 | |
dc.description | Bahturin, Y., Zaicev, M., Involutions on graded matrix algebras (2007) J. Algebra, 315, pp. 527-540 | |
dc.description | Berele, A., Generic verbally prime algebras and their GK-dimensions (1993) Commun. Algebra, 21 (5), pp. 1487-1504 | |
dc.description | Colombo, J., Koshlukov, P., Identities with involution for the matrix algebra of order two over an infinite field of characteristic p (2005) Israel J. Math., 146, pp. 337-356 | |
dc.description | Di Vincenzo, O.M., Koshlukov, P., La Scala, R., Involutions for upper triangular matrix algebra (2006) Adv. Appl. Math., 37, pp. 541-568 | |
dc.description | Drensky, V., Giambruno, A., Cocharacters, codimensions and Hilbert series of the polynomial identities for 2×2 matrices with involution (1994) Canad. J. Math, 46, pp. 718-733 | |
dc.description | Gómez-Ambrosi, C., Shestakov, I.P., On the Lie structure of the skew elements of a simple superalgebra with superinvolution (1998) J. Algebra, 208, pp. 43-71 | |
dc.description | Kac, V.G., Lie superalgebras (1977) Adv. Math., 26, pp. 8-96 | |
dc.description | Kemer, A.R., Varieties and Z2-graded algebras (1985) Math. USSR Izv., 25, pp. 359-374 | |
dc.description | Kemer, A.R., Ideals of identities of associative algebras (1991) AMS Trans. Math. Monogr., 87 | |
dc.description | Knus, M.A., Merkurjev, A., Rost, M., Tignol, J.-P., The book of involutions (1998) Amer. Math. Soc. Colloquium Publ., 44. , AMS, Providence, RI | |
dc.description | Levchenko, D., Finite basis property of identities with involution of a second-order matrix algebra (1982) Serdica, 8 (1), pp. 42-56. , (in Russian) | |
dc.description | Marcoux, L., Sourour, A., Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras (1999) Linear Algebra Appl., 288, pp. 89-104 | |
dc.description | Racine, M.L., Primitive superalgebras with superinvolution (1998) J. Algebra, 206, pp. 588-614 | |
dc.description | Rowen, L.H., (1980) Polynomial Identities in Ring Theory, , Academic Press, New York | |
dc.language | en | |
dc.publisher | | |
dc.relation | Journal of Pure and Applied Algebra | |
dc.rights | fechado | |
dc.source | Scopus | |
dc.title | On The *-polynomial Identities Of M1,1(e) | |
dc.type | Artículos de revistas | |