Dr. Md. Ayub Ali
Department of Mathematics

Publication of Dr. Md. Ayub Ali

List of Publications:

Books:

  1. Lattice Theory; A text book for M. Sc. (Final year) students of all general Universities of Bangladesh.
  2. Discrete Mathematics; A text book for B. Sc. Honours (4th year) students of all general Universities of Bangladesh.
  3. Madhmic Ganit, A text book for S S C students of Open University of Bangladesh.
  4. Higher Mathematics, A text book for S S C students of Open University of Bangladesh.

 

Journal Papers:

  1. A. S. A. Noor & Md. Ayub Ali; Minimal prime -ideals of a lattice; North Bengal University Review, India, Vol-9, Page: 30-36 (1998).

 

  1. A. S. A. Noor & Md. Ayub Ali; Lattices whose finitely generated -ideals form a Stone lattice; Rajshahi University studies, Part-B, Vol-26; Page: 83-87 (1998).
  1. A. S. A. Noor & Md. Ayub Ali; Relative annihilators around a neutral element of a lattice; Rajshahi University studies, Part-B, Vol-28; Page: 141-146 (2000).
  1. Md. Ayub Ali & A. S. A. Noor; Some properties of Modular -ideals of a lattice; Journal of Physical Sciences, Bidyasagar University, India. Vol-14, Page: 173-180 (2010).
  1. Md. Ayub Ali & A. S. A. Noor; Lattices whose finitely generated -ideals form a generalized Stone lattice; Journal of Physical Sciences, Bidyasagar University, India. Vol-15, Page: 7-16 (2011).
  1. Md. Ayub Ali & A. S. A. Noor; On finitely generated -ideals which form relatively Stone lattice; Institute of Mechanics of Continua and Mathematical Sciences, Township, Madhyamgram, Kolkata-700129, Vol-6, No-1, Page: 717-727 (2011).
  1. Md. Ayub Ali; On distributive -ideals of a lattice; Jahangirnagar University Journal of Sciences, Faculty of Mathematical and Physical Sciences, Jahangirnagar University, Saver, Dhaka. Vol.-34, Number-1, Page: 47-53; June-2011.
  1. Md. Ayub Ali & A. S. A. Noor; Characterization of finitely generated -ideals which form sectionally in Bm-lattices; News Buletin of Calcutta Mathematical Society, West Bengal, India, Vol.-34, Page: 67-73 (2011).
  1. Md. Ayub Ali & Md. Rezaul Karim; Some results on minimal prime -ideals of a lattice; Jagannath University Journal of Science, Jagannath University, Dhaka, Vol.-1, Issue-1, Page: 65-73 (2011).
  1.  Md. Rezaul Karim & Md. Ayub Ali; A generalization wave solution to (1+1) dimensional K-dV equation; Jagannath University Journal of Science, Jagannath University, Dhaka.Vol.-1, Issue-1, Page: 27-34 (2011).
  1.  Md. Ayub Ali, Md. Mizanur Rahman & Sompa Rani Podder; Generalization of some results on Relatively Stone lattices; Jagannath University Journal of Science, Jagannath University, Dhaka.Volume-1, Number-2, Page: 99-105 (2012).
  1.  Kh. Abdul Malek, Md. Ayub Ali,  Hena Rani Biswas & Md. Rukonuzzaman; Heat and Mass transfer Incompressible fluid Flow Due to porous Rotating Disk with Molecular Diffusing Effect; Jagannath University Journal of Science, Jagannath University, Dhaka. Volume-1, Number-2, Page: 87-98 (2012).
  1.  Md. Ayub Ali; Some properties of neutral and standard -ideals of a lattice; Jahangirnagar University Journal of Sciences, Faculty of Mathematical and Physical Sciences, Jahangirnagar University, Saver, Dhaka.  Volume-35, Number-2, Page: 7-14 (2012).
  1.  Md. Ayub Ali, R. M. Hafizur Rahman & A. S. A. Noor; Prime Separation Theorem for - ideals in a 0-     distributive Lattice; Journal of Pure and Applied  Science, Assam, India. Volume-12,                                                                                                                                                                                Number-1, Page: 16-20 (2012).
  1.   Md. Ayub Ali, A. S. A. Noor & A. K. M. S. Islam; Annulets in a distributive nearlattice; Annals of     Pureand Applied Mathematics. Vol. 1, No. 1, Page: 91-96 (2012).
  1.  A. S. A. Noor & Md. Ayub Ali; -ideals in a distributive nearlattice; Journal of Physical Sciences, Bidyasagar University, India. Volume-16, Page: 1-7 (2012).
  1.  Md. Ayub Ali, Sompa Rani Podder & A. S. A. Noor; -Distributive lattice; Journal of Physical Sciences, Bidyasagar University, India. Volume-16, Page: 23-30 (2012).
  1.  Md. Ayub Ali, R. M. Hafizur Rahman, A. S. A. Noor & Jahanara Begum; Some characterization of -distributive lattices; Institute of Mechanics of Continua and Mathematical Sciences, Township, Madhyamgram, Kolkata-700129, Volume-7, Number-2, Page: 1045-1055 (2013).
  1.  R. M. Hafizur Rahman, Md. Ayub Ali & A. S. A. Noor; On Semiprime Ideals of a lattice; Institute of Mechanics of Continua and Mathematical  Sciences, Township, Madhyamgram, Kolkata-700129. Volume-7, Number-2, Page: 1094-1102 (2013).
  1.  Md. Ayub Ali & A. S. A. Noor; 0-distributive meet semi lattices, Annals of Pure and Applied Mathematics. Vol. 1, Number-2, Page: 149-156 (2012). 
  1.  Razia Sultana, Md. Ayub Ali & A. S. A. Noor; Some properties of 0-distributive and 1-distributive lattices; Annals of Pure and Applied Mathematics. Vol. 1, Number-2, Page: 168-175 (2012).
  1.  Md. Ayub Ali &  A. S. A. Noor; Generalization of some results on relatively Bm-lattices; Journal of Pure and Applied Science, Assam, India.  Volume-12, Number-2, Page: 78-87(2012).     
  1.  Md. Ayub Ali, R. M. Hafizur Rahman & A. S. A. Noor; Some properties of Semiprime ideals of lattices; Annals of Pure and Applied Mathematics, Vol. 1, Number-2, Page: 176-185 (2012).      
  1.  Md. Ayub Ali, R. M. Hafizur Rahman, A. S. A. Noor & M. M. Rahman; On semi prime -ideals of lattices; Annals of Pure and Applied Mathematics. Vol. 2, Number-1, Page: 10-17 (2012).   
  1.  Md. Ayub Ali, A. S. A. Noor & S. R. Podder; Some characterizations of semi prime -ideals of lattices; Annals of Pure and Applied Mathematics. Vol. 2, Number-1, Page: 1-9 (2012). 
  1.  Shiuly Akter A. S. A. Noor & Md. Ayub Ali; Some properties of 1-Distributive join semi lattice, J. Mech. Cont. & Math. Sci. Vol. 9(2), 2015; P. 1377-1384.
  1.  Md. Ayub Ali, A. S. A. Noor;  Prime separation theorem for alpha -ideals of a -distributive lattice,  Jagannath University Journal of Science, Jagannath University, Dhaka. Vol.  04, No. 01, P. 99-106, 2015.
  1.  Momotaz Begum & A. S. A. Noor & Md. Ayub Ali; Some Characterizations of Semi Prime Ideals in Lattices, Progress in Nonlinear Dynamics and Chaos, Vol. 4, Number-2, Page: 59-66 (2016). 
  1.  Md. Ayub Ali, Momotaz Begum & A. S. A. Noor, On Semi Prime Filters in Lattices, Annals of Pure and Applied Mathematics. Vol. 12, Number-2, Page: 129-136 (2016). 
  1.  Md. Ayub Ali, On Semi Prime Filters in Join Semi Lattices, Jagannath University Journal of Science, Jagannath University, Dhaka. Vol.  05, No. 01, P. 9-16,      2017.
  1.  Md. Ayub Ali, Sompa Rani Podder & A. S. A. Noor; On Super Standard element of a lattice; Progress in Nonlinear Dynamics and Chaos, Vol. 6, Number-1, Page: 19-28 (2018). 

 

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