منابع مشابه
Graded algebras and subproduct systems: dimension two
Objects dual to graded algebras are subproduct systems of linear spaces, a purely algebraic counterpart of a notion introduced recently in the context of noncommutative dynamics (Shalit and Solel [5], Bhat and Mukherjee [2]). A complete classification of these objects in the lowest nontrivial dimension is given in this work, triggered by a question of Bhat [1].
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Let G be an associative monomial k-algebra. If G is assumed to be finitely presented, then either G contains a free subalgebra on two monomials or else G has polynomial growth. If instead G is assumed to have finite global dimension, then either G contains a free subalgebra or else G has a finite presentation and polynomial growth. Also, a graded Hopf algebra with generators in degree one and r...
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The present paper offers the classification of naturally graded p filiform Lie algebras in arbitrary finite dimension n . For sufficiently high n , (n ≥ max{3p − 1, p + 8}), and for all admissible value of p the results are a generalization of Vergne’s in case of filiform Lie algebras [11]. Mathematics subject classification 2000: 22E60, 17B30, 17B70
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There are remarkable relations between the graded homological dimensions and the ordinary homological dimensions. In this paper, we study the injective dimension of a complex of graded modules and derive its some properties. In particular, we define the $^*$dualizing complex for a graded ring and investigate its consequences.
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We study the graded derivation-based noncommutative differential geometry of the Z2-graded algebra M(n|m) of complex (n+m)× (n+m)-matrices with the “usual block matrix grading” (for n 6= m). Beside the (infinite-dimensional) algebra of graded forms the graded Cartan calculus, graded symplectic structure, graded vector bundles, graded connections and curvature are introduced and investigated. In...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1987
ISSN: 0001-8708
DOI: 10.1016/0001-8708(87)90034-x