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On $H^1$ of finite dimensional algebras

Published 19 Jan 2023 in math.RA | (2301.08214v1)

Abstract: We review results on the first Hochschild cohomology vector space of a finite dimensional algebra, in particular for path algebras modulo a "pre-generated" ideal. In case of a monomial algebra whose quiver has no oriented cycles, a dimension formula is provided. The general monomial case is considered in a paper with M. Saorin.

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