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Browsing Dissertation/Theses - Department of Mathematics by Author "Ahmed, Dr. Khandker Farid Uddin"

Browsing Dissertation/Theses - Department of Mathematics by Author "Ahmed, Dr. Khandker Farid Uddin"

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  • Study on lie symmetry analysis to differential equations 
    Akter, Maria (Department of Mathematics, 2019-12-10)
    In this work, travelling wave and a family of invariant solutions of nonlinear filtration partial differential equation are found. In general, by using Lie symmetry transformations, it is possible to reduce the partial ...
  • Study on nil and nilpotent rings and modules 
    Maruf Hasan, Md. (Department of Mathematics (Math), 2015-09)
    A submodule of a right -module is called a nilpotent submodule of if is a right nilpotent ideal of and is a nil submodule of if is a right nil ideal of . By definition, a nilpotent submodule is a nil submodule. It is seen ...
  • Study on prime and semi-prime goldie rings and modules 
    Mominul Islam Prodhan, Md. (Department of Mathematics (Math), 2015-06)
    Let R be a ring. Then the ring R has finite right Goldie dimension if it contains a direct sum of a finite number of nonzero right ideals. Symbolically, we write G.dim(R)  . A ring R is called a right Goldie ring if ...
  • Study on prime and semi-prime rings and modules 
    Jahirul Haque Munshi, Mohammod (Department of Mathematics (Math), 2012-02)
    Let R be a ring. Then a proper ideal P in a ring R is called a prime ideal of R if for any ideals I, J of R with IJ ⊂ P, then either I ⊂ P or J ⊂ P. A ring R is called a prime ring if 0 is a prime ideal. Let M be a right ...
  • Study on semisimple rings and modules 
    Siddiqua, Fatema (Department of Mathematics, 2021-08-14)
    In this thesis, we characterize semisimple modules over noncommutative rings and investigate their properties. We discuss noncommutative rings and their modules based on the Wedderburn-Artin structure theorem. Focusing on ...
  • Study on uniserial and serial rings and modules 
    Aftab Uddin, Md. (Department of Mathematics (Math), 2016-05)
    A right R-module M is called uniserial if its submodules are linearly ordered by inclusion, i.e., for any submodules A and B of M, either A⊆ B or B ⊆ A. A ring R is right uniserial if it is uniserial as a right R-module. ...

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