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Showing 1 to 3 of 3 for “"Monomial algebra"”.
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Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras
<p>In this thesis, 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 …
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Resolutions and cohomology of finite dimensional algebras
… cohomology groups of certain finite dimensional algebras. So let A be a finite dimensional quotient of a path algebra. A method of modeling the enveloping algebra Ae of A on a computer is presented. Adding the extra hypothesis that A is a monomial algebra, we construct a minimal projective …