论文信息 - On the homology of quotients of path algebras

On the homology of quotients of path algebras

We extend the results and techniques of [Al] to find a method of constructing projective resolutions for certain simple modules over homomorphic images of path algebras. We provide a number of applications in the case when the image algebra is finite dimensional.

Edward L. Green | D. Anick | E. Green | David J. Anick

[1] R. G. Swan,et al. K-Theory of Finite Groups and Orders , 1970 .

[2] E. Green. Transactions of the American Mathematical Society Graphs with Relations, Coverings and Group-graded Algebras , 2022 .

[3] D. Anick,et al. On the homology of associative algebras , 1986 .

[4] D. Anick. On monomial algebras of finite global dimension , 1985 .

[5] G. Bergman. The diamond lemma for ring theory , 1978 .

[6] R. Gordon,et al. Modules with cores and amalgamations of indecomposable modules , 1977 .

[7] E. Green,et al. Projective resolutions over Artin algebras with zero relations , 1985 .

[8] B. Mitchell,et al. Theory of categories , 1965 .

[9] G. Wilson. The Cartan map on categories of graded modules , 1983 .