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Journal:   MATHEMATICAL RESEARCHES   fall 2018-winter 2019 , Volume 4 , Number 2 ; Page(s) 133 To 152.
 
Paper: 

Solving System Of Linear Congruence Equations Over Some Rings By Decompositions Of Modules

 
 
Author(s):  Behboodi Mahmood, Asgari Shadi, Moradzadeh Dehkordi Ali, Hashemi Amir*
 
* Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran / School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
 
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: ...
 
Keyword(s): Linear congruence systems,Modular Gaussian elimination,Gröbner bases
 
 
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APA: Copy

BEHBOODI, M., & Asgari, S., & Moradzadeh Dehkordi, A., & Hashemi, A. (2019). Solving System of Linear Congruence Equations over some Rings by Decompositions of Modules. MATHEMATICAL RESEARCHES, 4(2 ), 133-152. https://www.sid.ir/en/journal/ViewPaper.aspx?id=661761



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. 2019 [cited 2022May22];4(2 ):133-152. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=661761



IEEE: Copy

BEHBOODI, M., Asgari, S., Moradzadeh Dehkordi, A., Hashemi, A., 2019. Solving System of Linear Congruence Equations over some Rings by Decompositions of Modules. MATHEMATICAL RESEARCHES, [online] 4(2 ), pp.133-152. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=661761.



 
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