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Showing 1 to 6 of 6 for “"finite generation"”.
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Finite Generation of Ext-Algebras for Monomial Algebras
… studies is ubiquitous, whether the graphs be finite or infinite, directed or undirected. Green and Zacharia have characterized finite generation of the cohomology rings of monomial algebras, and thereafter G. Davis determined a finite criteria for such generation in the case of cycle algebras. …
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Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras
… we investigate the Ext-algebra of a basic, finite dimensional $K$-algebra $A=K\mathcal{Q}/I$, where $K$ is an algebraically closed field and $\mathcal{Q}$ is a finite quiver. We denote the Ext-algebra of $A$ by $E(A)$. We denote $\bar{A}=A/A^+$ to be the direct sum of all simple modules over …
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On the Witt groups of schemes
… groups of schemes: the first is the question of finite generation of the shifted Witt groups of a smooth variety over a finite field; the second is the Gersten conjecture. Regarding the first, we prove that the shifted Witt groups of curves and surfaces are finite, and that finite generation of …
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Creating a shipboard power simulation tool using electrical load behavior modeling
… (EPLA) [2], and the scheduling and tasking of finite generation and distribution resources. A tool that can quickly evaluate many scenarios, as opposed to intense, high fidelity modeling of a single operating scenario, may best serve these applications. This thesis presents a behavioral …
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Banach algebras on groups and semigroups
… respectively. In Chapter 2 we study (algebraic) finite-generation of closed left ideals in Banach algebras. Let G be a locally compact group. We prove that the augmentation ideal in L 1 pGq is finitely-generated as a left ideal if and only if G is finite. We then investigate weighted versions of …
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Admissible orders on quotients of the free associative algebra
… bases for A -modules. When A is commutative, a finite reduced Grobner basis for an A -module can always be obtained, but when A is not commutative this is not the case; in fact in many cases a Grobner basis theory for A may not even exist.</p><p>E. Hinson has used position-dependent weights, …