Hochschild cohomology via incidence algebras

REDONDO, MARIA JULIA

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

Oxford Univ. Press Journals

Lugar: Londres; Año: 2008 vol. 77 p. 465 - 480

0024-6107

In this interesting paper the author studies the connection between the Hochschild cohomology groups of a k-algebra A and those of incidence algebras associated to each presentation (Q,I) of A. The latter expression means that A = kQ/I, where Q is a finite quiver, kQ is the path algebra of Q, and I is an admissible 2-sided ideal of kQ.