Relative coherent modules and semihereditary modules
L Mao - Communications in Algebra, 2019 - Taylor & Francis
L Mao
Communications in Algebra, 2019•Taylor & FrancisGiven a positive integer n, a left R-module M is called n-coherent (resp. n-semihereditary) if
every n-generated submodule of M is finitely presented (resp. projective). We investigate the
properties of n-coherent modules and n-semihereditary modules. Various results are
developed, many extending known results.
every n-generated submodule of M is finitely presented (resp. projective). We investigate the
properties of n-coherent modules and n-semihereditary modules. Various results are
developed, many extending known results.
Abstract
Given a positive integer n, a left R-module M is called n-coherent (resp. n-semihereditary) if every n-generated submodule of M is finitely presented (resp. projective). We investigate the properties of n-coherent modules and n-semihereditary modules. Various results are developed, many extending known results.
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