1,056 research outputs found
Z_2-graded Gelfand-Kirillov dimension of the Grassmann algebra
We consider the infinite dimensional Grassmann algebra E over a field F of
characteristic 0 or p, where p>2, and we compute its Z_2-graded
Gelfand-Kirillov dimension as a Z_2-graded PI-algebra
A model for the relatively free graded algebra of block triangular matrices with entries from a graded algebra
Let G be a group and A be a G-graded algebra satisfying a polynomial
identity. We buid up a model for the relative free G-graded algebra and we
obtain, as an application, the "factoring" property for the T_G-ideals of block
triangular matrices with entries from the finite dimensional Grassmann algebra
E for some particular Z_2-grading
Value allocations in economies with coalition structure
We embody a notion of stability for coalition structures by Hart and Kurz (1983) into the framework of general equilibrium, by generalizing the classical value allocation notion (Shapley, 1969) to situations where: (a) agents organize themselves voluntarily into coalition structures (b) the process of coalition formation is treated as endogenous. To this end we introduce the definition of stable coalition structure value allocation and provide, under standard hypotheses, a preliminary existence result for the three player case in an exchange economy.
On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras
2010 Mathematics Subject Classification: 16R10, 16W55, 15A75.We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading inherited by that of Vasilovsky and upper triangular matrices, i.e., UTn(F), UTn(E) and UTa,b(E), where E is the infinite dimensional Grassmann algebra
Some Condition for Scalar and Vector Measure Games to Be Lipschitz
We provide a characterization for vector measure gamesν=f∘μinpNA∞, withμvector of nonatomic probability measures, analogous to the one of Tauman for games inpNA, and also provide a necessary and sufficient condition for a particular class of vector measure games to belong toAC∞
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