Let m ≥ 2 be an integer. By using m submodules of a given module, we construct a certain exact sequence, which is a well known short exact sequence when m = 2. As an application, we compute a minimal projective resolution of the Jacobson radical of a tiled order.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-11,
author = {Yosuke Sakai},
title = {An elementary exact sequence of modules with an application to tiled orders},
journal = {Colloquium Mathematicae},
volume = {111},
year = {2008},
pages = {307-318},
zbl = {1169.16004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-11}
}
Yosuke Sakai. An elementary exact sequence of modules with an application to tiled orders. Colloquium Mathematicae, Tome 111 (2008) pp. 307-318. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm113-2-11/