0000000000315617

AUTHOR

O.m. Di Vincenzo

showing 2 related works from this author

Modular representation theory and pi-algebras

1988

(1988). Modular representation theory and pi-algebras. Communications in Algebra: Vol. 16, No. 10, pp. 2043-2067.

Faithful representationAlgebraModular representation theoryAlgebra and Number TheoryPiTrivial representationAlgebra over a fieldReal representationMathematicsCommunications in Algebra
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Subvarieties of the Varieties Generated by the SuperalgebraM1, 1(E) orM2(đť’¦)

2003

Abstract Let 𝒦 be a field of characteristic zero, and let us consider the matrix algebra M 2(𝒦) endowed with the ℤ2-grading (𝒦e 11 ⊕ 𝒦e 22) ⊕ (𝒦e 12 ⊕ 𝒦e 21). We define two superalgebras, â„› p and 𝒮 q , where p and q are positive integers. We show that if 𝒰 is a proper subvariety of the variety generated by the superalgebra M 2(𝒦), then the even-proper part of the T 2-ideal of graded polynomial identities of 𝒰 asymptotically coincides with the even-proper part of the graded polynomial identities of the variety generated by the superalgebra â„› p  ⊕ 𝒮 q . This description also affords an even-asymptotic desc…

Discrete mathematicsCombinatoricsPolynomialAlgebra and Number TheorySubvarietyMatrix algebraZero (complex analysis)Field (mathematics)Variety (universal algebra)SuperalgebraMathematicsCommunications in Algebra
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