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

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BEHBOODI MAHMOOD; Asgari Shadi; Moradzadeh Dehkordi Ali; Hashemi Amir

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Journal: MATHEMATICAL RESEARCHES Year:2019 | Volume:4 | Issue:2 Page(s): 133-152

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Information Journal Paper

Title

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

Author(s)

BEHBOODI MAHMOOD | Asgari Shadi | Moradzadeh Dehkordi Ali | Hashemi Amir | Issue Writer Certificate

Keywords

Linear congruence systemsQ1

Modular Gaussian eliminationQ1

Gröbner basesQ1

Abstract

In this paper, we deal with solving systems of linear congruences over commutative CFrings. More precisely, let R be a CF-ring (every finitely generated direct sum of cyclic R-modules has a canonical form) and let I, , In 1 be n ideals of R. We consider the system of linear congruences: ...

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APA: Copy

BEHBOODI, MAHMOOD, Asgari, Shadi, Moradzadeh Dehkordi, Ali, & Hashemi, Amir. (2019). Solving System of Linear Congruence Equations over some Rings by Decompositions of Modules. MATHEMATICAL RESEARCHES, 4(2 ), 133-152. SID. https://sid.ir/paper/260790/en

Vancouver: Copy

BEHBOODI MAHMOOD, Asgari Shadi, Moradzadeh Dehkordi Ali, Hashemi Amir. Solving System of Linear Congruence Equations over some Rings by Decompositions of Modules. MATHEMATICAL RESEARCHES[Internet]. 2019;4(2 ):133-152. Available from: https://sid.ir/paper/260790/en

IEEE: Copy

MAHMOOD BEHBOODI, Shadi Asgari, Ali Moradzadeh Dehkordi, and Amir Hashemi, “Solving System of Linear Congruence Equations over some Rings by Decompositions of Modules,” MATHEMATICAL RESEARCHES, vol. 4, no. 2 , pp. 133–152, 2019, [Online]. Available: https://sid.ir/paper/260790/en

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