Texas Project NExT Journal
Vol. 1 (2003), pp. 10-21.
MSC (2000): 13D02
Key words: Homological methods Syzygies, resolutions, complexes
Abstract: We introduce a method of obtaining a projective bimodule
resolution for a quotient $\Lambda$ of a path algebra by repeatedly tensoring a
canonical short exact sequence with $\Omega^1_{\Lambda^e}(\Lambda)$. In one form
our method gives a normalized bar resolution, and we discuss how to modify our
construction to obtain a computationally more tractable resolution. We then give
a method of computing resolutions of right $\Lambda$-modules given in the form
of a presentation.
University of Texas at Tyler, Tyler, TX 75799
e-mail:
nathan@math.uttyl.edu
Received by Editor: June 14, 2002 and, in revised form April 18,
2003.
Posted: June 9, 2003.
© Copyright 2003