An elementary exact sequence of modules with an application to tiled orders

Yosuke Sakai

Colloquium Mathematicae (2008)

  • Volume: 113, Issue: 2, page 307-318
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Yosuke Sakai. "An elementary exact sequence of modules with an application to tiled orders." Colloquium Mathematicae 113.2 (2008): 307-318. <http://eudml.org/doc/284245>.

@article{YosukeSakai2008,
abstract = {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.},
author = {Yosuke Sakai},
journal = {Colloquium Mathematicae},
keywords = {minimal projective resolutions; tiled orders; global dimension; link graphs; short exact sequences},
language = {eng},
number = {2},
pages = {307-318},
title = {An elementary exact sequence of modules with an application to tiled orders},
url = {http://eudml.org/doc/284245},
volume = {113},
year = {2008},
}

TY - JOUR
AU - Yosuke Sakai
TI - An elementary exact sequence of modules with an application to tiled orders
JO - Colloquium Mathematicae
PY - 2008
VL - 113
IS - 2
SP - 307
EP - 318
AB - 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.
LA - eng
KW - minimal projective resolutions; tiled orders; global dimension; link graphs; short exact sequences
UR - http://eudml.org/doc/284245
ER -

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