Nicely semiramified division algebras over Henselian fields.
Mounirh, Karim (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Graded transcendental extensions of graded fields.”
Nicely semiramified division algebras over Henselian fields.
Unitarily graded field extensions
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Superlinear algebra or two-graded algebraic structures.
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Samir Mahmoud, S. (1996)
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Refai, Mashhoor, Obiedat, Sofyan (1998)
International Journal of Mathematics and Mathematical Sciences
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Universal -differential calculus and -analog of homological algebra.
Dubois-Violette, M., Kerner, R. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Some graded radicals of graded rings.
Sands, A.D., Yahya, H. (2005)
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A Basis for Z-Graded Identities of Matrices over Infinite Fields
Azevedo, Sergio (2003)
Serdica Mathematical Journal
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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...
The André-Quillen homology of commutative graded algebras
Tadeusz Józefiak (1976)
Fundamenta Mathematicae
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Graded algebra automorphisms.
Montse Vela (1998)
Collectanea Mathematica
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Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices
Di Vincenzo, Onofrio (2004)
Serdica Mathematical Journal
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000 Mathematics Subject Classification: Primary 16R50, Secondary 16W55. We present some results about the Z2-graded polynomial identities of block-triangular matrix superalgebras R[[A M],[0 B]]. In particular, we describe conditions for the T2-ideal of a such superalgebra to be factorable as the product T2(A)T2(B). Moreover, we give formulas for computing the sequence of the graded cocharacters of R in some interesting case. Partially supported by MURST COFIN...