Acta Mathematica Vietnamica



On Modules of Linear Type
Kosuke Fukumuro, Hirofumi Kume, Koji Nishida



Let A be an m × n matrix with entries in a Noetherian ring R, where m,n are positive integers such that mn. By M, we denote the cokernel of the R-linear map R m R n defined by t A . The purpose of this paper is to give an elementary proof to the result due to Avramov (J. Algebra 73, 248–263, 1981) that characterizes the condition for M to be a module of linear type in terms of determinantal ideals of A.

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