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Showing 1 to 4 of 4 for “"monomial algebras"”.
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Finite Generation of Ext-Algebras for Monomial Algebras
… 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. Herein, we describe the construction of a finite directed graph upon which criteria can be established to determine finite …
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Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras
… which generate $I^!$. In the case $A$ is monomial, we prove that the family $\{f_i^m\}$ is exactly the set of $m$-chains used by Green and Zacharia. </p> <p> In the second part, we use a construction by Anick, Green, and Solberg to form a family $\{x_i^j\}$ which yields a projective …
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Growth of algebras, words, and graphs
Finitely generated monomial algebras are studied. the bound in Bergman's description of algebras with GK-dimension 1 is improved and similar techniques are used to establish the equivalence of the periodicities of overlap graphs and Hilbert series coefficients.
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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 …