-graded polynomial identities for
Onofrio Mario Di Vincenzo, Vincenzo Nardozza (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Sign-graded posets, unimodality of -polynomials and the Charney-Davis conjecture.”
-graded polynomial identities for
A structure sheaf on the projective spectrum of a graded fully bounded Noetherian ring.
Samir Mahmoud, S. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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...
Homological perturbation theory and associativity.
Real, Pedro (2000)
Homology, Homotopy and Applications
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Categorical investigation of -graded -algebras
Huq, S.A., Aijaz, Kulsoom (1969)
Portugaliae mathematica
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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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Superlinear algebra or two-graded algebraic structures.
Dragomir Z. Djokovic (1979)
Journal für die reine und angewandte Mathematik
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Some graded radicals of graded rings.
Sands, A.D., Yahya, H. (2005)
Mathematica Pannonica
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Graded algebra automorphisms.
Montse Vela (1998)
Collectanea Mathematica
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New categorifications of the chromatic and dichromatic polynomials for graphs
Marko Stošić (2006)
Fundamenta Mathematicae
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For each graph G, we define a chain complex of graded modules over the ring of polynomials whose graded Euler characteristic is equal to the chromatic polynomial of G. Furthermore, we define a chain complex of doubly-graded modules whose (doubly) graded Euler characteristic is equal to the dichromatic polynomial of G. Both constructions use Koszul complexes, and are similar to the new Khovanov-Rozansky categorifications of the HOMFLYPT polynomial. We also give a simplified definition...
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...
On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra
Ribeiro Tomaz da Silva, Viviane (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary: 16R10, Secondary: 16W55. The main purpose of this paper is to provide a survey of results concerning the ordinary and Z2-graded polynomial identities of the infinite dimensional Grassmann algebra over a field of characteristic zero, as well as of its sequences of ordinary and Z2-graded codimensions and cocharacters. We also intend to describe briefly the techniques used by the authors in order to illustrate some important...
The ℤ₂-graded sticky shuffle product Hopf algebra
Robin L. Hudson (2006)
Banach Center Publications
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By abstracting the multiplication rule for ℤ₂-graded quantum stochastic integrals, we construct a ℤ₂-graded version of the Itô Hopf algebra, based on the space of tensors over a ℤ₂-graded associative algebra. Grouplike elements of the corresponding algebra of formal power series are characterised.