Solving System of Linear Congruence Equations over some Rings by Decompositions of Modules

In this paper, we deal with solving systems of linear congruences over commutative CF-rings. More precisely, let R be a CF-ring (every finitely generated direct sum of cyclic R-modules has a canonical form) and let I_1,..., I_n be n ideals of R. We introduce congruence matrices theory techniques and...

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Bibliographic Details
Main Authors: Mahmood Behboodi1, Shadi Asgari, Ali Moradzadeh-Dehkordi, Amir Hashemi1
Format: Article
Language:fas
Published: Kharazmi University 2018-12-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-2617-en.html