Abstract
Let G be a connected graded s.f.p. (standard finitely presented) associative algebra over a field K. We show that the global dimension of G is effectively computable in the following cases: 1) G is a finitely presented monomial algebra; 2) G is a connected graded s.f.p. algebra and the associated monomial algebra A(G) has finite global dimension. The situation is considerably simpler when G has polynomial growth of degree d and gl.dim A(G)
Cite
CITATION STYLE
Gateva-Ivanova, T. (1989). Global dimension of associative algebras. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 357 LNCS, pp. 213–229). Springer Verlag. https://doi.org/10.1007/3-540-51083-4_61
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