M. Mehdi Ebrahimi
Professor
Department of Department of Mathematics , Faculty of Faculty of Mathematical Sciences
 
Teaching
Background
  1. Undergraduate Courses: Calculus, Foundations of mathematics, Algebra (Groups, Rings and modules), Linear algebra, Number theory, Topology, Elementary universal algebra, Galois Theory.
  2. Graduate Courses (M.Sc., Ph.D): Advanced algebra, Universal algebra, Category theory, Lattice theory, Frames, Topos theory, Topics in category theory, Boolean algebra, Distributive lattices, Ordered algebraic structures, Homology of S-acts, Representation of monoids.
Achievements
& Honors
  1. Gold Medal in M.Sc.
  2. More than 20 letters of acknowledgement for research activities from the chancellor of Shahid Beheshti University.
  3. The selected distinguished researcher of Shahid Beheshti University in 1991, 2001.
  4. Dr. Abbas Riazi prize for the best paper presented in annual math. Iranian conference in 2002.
  Contact Info  
Phone : (98)(21)(22431652), 29902921
Mail : m-ebrahimi@sbu.ac.ir, mmehdi_ebrahimi@yahoo.com
Address : Department of Mathematics, Shahid Beheshti University, Tehran 19839, Iran.
Website :
 
PUBLICATIONS & WORKING PAPERS
 
Professional
Membership
  1. Chief Editor of Farhang va Andishe-ye Riyazi (An Expository Journal of the Iranian Mathematical Society) for many years.
  2. Elected Member of the organizing committee of the Iranian Mathematical Society for two times.
  3. Member of the Mathematics curriculum committee of the Ministry of Science, Technology and Research, for many years.
  4. Reviewer for Mathematical Reviews (MR), 2006-.
  5. Member of the Iranian Mathematical Society
  6. Member of the American Mathematical Society.

Professional Background
  1. Teaching Assistant, Dept. of Math., McMaster University, Canada, 1976- 1980.
  2. Assistant Professor, Dept. of Math., Shahid Beheshti University, Tehran, Iran, 1981-1989.
  3. Associate Professor, Dept. of Math., Shahid Beheshti University, Tehran, Iran, 1989-1996.
  4. Professor, Dept. of Math., Shahid Beheshti University, Tehran, Iran, 1996-
  5. Chairman, Dept. of Math., 3 times, 7 years.
  6. Chairman of Graduate studies, Faculty of Mathematical Sciences.
  7. Sabbatical, McMaster University, York University.
 
Areas of Specialization

General Algebra in a  Category (Topos)

Educational Background
  1. B.Sc. in Mathematics, Department of Mathematics, A.M.U, Aligarh, India, 1974.    Grade: A with distinction, Second Position.
  2. M.Sc. in Mathematics, Dept. of Mathematics, A.M.U, Aligarh, India, 1976.    Grade: A with distinction, First Position, GOLD Medalist.
  3. Ph.D. in Mathematics, Dept. of Mathematics, McMaster University, Hamilton Ont., Canada, 1980.
  4. Ph.D Thesis, Algebra in a Topos of Sheaves, Supervisor: Prof. B. Banaschewski
 
Areas of Interest

Algebra in a Category, Pointfree Topology, Lattice Theory, Category Theory, Universal Algebra, S-systems (acts).

Other Activities
  1. Chief Editor of Farhang va Andishe-ye Riyazi (An Expository Journal of the Iranian Mathematical Society) for many years.
  2. Elected Member of the organizing committee of the Iranian Mathematical Society for two times.
  3. Member of the Mathematics curriculum committee of the Ministry of Science, Technology and Research, for many years.
  4. Sabbatical, McMaster University, York University.
  5. Reviewer for Mathematical Reviews (MR), 2006-.
 

Conferences and Seminars
 
1.  Purity of $G$-sheaves,
    M. Mehdi Ebrahimi,
    Lectured in 3th Algebra Seminar, Kashan University, Iran, 1987.
 
2. The Internal Ideal Lattice in the Topos of M-sets,
   M. Mehdi Ebrahimi and M. Mahmoudi,
   Lectured in 7th Algebra Seminar, Hamedan, Booalisina Univ., Iran, 1992.
 
3. The Minimal Completion of Boolean Algebras in MSet,
    M. Mehdi Ebrahimi and M. Mahmoudi,
    Lectured in 24th Iranian Math. Conf., Shahid Beheshti Univ., Iran, 1993.
 
4. When is the Category of Separated M-sets a Quasitopos or a Topos?,
    M. Mehdi Ebrahimi and M. Mahmoudi,
    Lectured in 26th Iranian Math. Conf. Kerman, Shahid Bahonar Univ., Iran, 1995.
 
5. Conditions Related to De Morgan's Laws in MSet,
    M. Mehdi Ebrahimi and M. Mahmoudi,
    Lectured in 26th Iranian Math. Conf., Kerman, Shahid Bahonar Univ., Iran, 1995.
 
6. Purity of Projection Algebras,
    M. Mehdi Ebrahimi and Mojgan Mahmoudi,
    Lectured in 9th Algebra Seminar, Babolsar, Mazandaran Univ., Iran, 1997.
 
7. Equational Compactness of Projection Algebras,
   Mojgan Mahmoudi and M. Mehdi Ebrahimi,
   Lectured in 10th Algebra Seminar, Sanandaj, Kordestan Univ., Iran, 1998.
 
8. Equational compact Hulls of Projection Algebras,
   M. Mehdi Ebrahimi and Mojgan Mahmoudi,
   Lectured in 10th Algebra Seminar, Sanandaj, Kordestan Univ., Iran, 1998.
 
9. Category of M-algebras with Internal Homomorphisms,
    M. Mahmoudi and M. Mehdi Ebrahimi,
    Lectured in 30th Iranian Math. Conf., Ardebil, Univ. of Mohaghegh Ardabili,
    Iran, 1999.
 
10.  Flat Projection Algebras,
     M. Mehdi Ebrahimi and M. Mahmoudi,
     Lectured in 11th Algebra Seminar, Isfahan, Isfahan Univ. of Technology, Iran,
     1999.
 
11.Algebra in a category: Injectivity in Equational Classes,
     M. Mehdi Ebrahimi,
     Lectured in 11th Algebra Seminar, Isfahan, Isfahan Univ. of Technology, Iran,
    1999.
 
12. Pointset and Pointfree Topology,
     M. Mehdi Ebrahimi and M. Mahmoudi,
    First Seminar on Geometry and Topology, Tabriz, Iran, 2000.
 
13. Compact and Regular Pointfree Topology,
    Mojgan Mahmoudi, M. Mehdi Ebrahimi,
    First Seminar on Geometry and Topology, Tabriz, Iran, 2000.
 
14. Tensor Products and Flatness of M-algebras,
     M. Mehdi Ebrahimi and M. Mahmoudi,
    12th Algebra Seminar, Shahid Beheshti University, Iran, 2000.
 
15. Ideal Closure Operators of M-sets,
     M. Mehdi Ebrahimi and M. Mahmoudi,
    13th Algebra Seminar, Auromia Univ. Auromia, Iran, 2001.
 
16. On Injectivity of Projection Algebras,
      Ebrahimi, M. Mehdi and Mahmoudi, M.,
     13th Algebra Seminar, Auromia Univ. Auromia, Iran, 2001.
 
17. Complete Metric sigma-frames,
     M. Mehdi Ebrahimi, Mojgan Vojdani Tabatabaee,
     International Conf. on Applicable General Topology,
     Hacettepe Univ., Turkey, 2001.
     32th Annual Iranian Math. Conf, Mazandaran Univ, Babolsar, Iran, 2001.
 
18. Inner and Homo-derivations on l-rings,
      M. Mehdi Ebrahimi and H. Pajoohesh,
      International Conf. on Applicable General Topology,
      Hacettepe Univ., Turkey, 2001.
 
19. Counter part of some ring concepts for l-rings,
      M. Mehdi Ebrahimi and H. Pajoohesh,
     13th Algebra Seminar, Auromia Univ. Auromia, Iran, 2001.
 
20.  On the Normal Completion of Boolean Algebras in a Topos,
      M. Mahmoudi, M. Mehdi Ebrahimi,
      32th Annual Iranian Math. Conf, Mazandaran Univ, Babolsar, Iran, 2001.
 
21. Pointfree Topology and the Spectra of Riesz Spaces,
     M.M. Ebrahimi and M. Mahmoudi and A.Karimi,
     Second workshop on Formal Topoogy, Venice, Italy, April 2002.
 
22. Uniform Completion of kappa-frames,
      M. Mehdi Ebrahimi and M. Vojdani Tabatabaee,
     Second workshop on Formal Topoogy, Venice, Italy, April 2002.
 
23. On Injectivity of Projection Algebras,
      M. Mahmoudi, M. Mehdi Ebrahimi,
      Internationl Conf. on Algebra, Modules and Rings,
     Univ. of Lisboa, Lisboa, July 2003.
 
24.  Baer Criterion and injectivity Projection Algebras,
      M. Mehdi Ebrahimi, M. Mahmoudi
     34th Annual Iranian Math. Conf, Shahroud Univ., Shahroud, Iran, 2003.
 
25. Algebraic separation axioms on projection algebras,
      M. Mahmoudi, M. Mehdi Ebrahimi,
      34th Annual Iranian Math. Conf, Shahroud Univ., Shahroud, Iran, 2003.
 
26. Cauchy completeness of kappa-frames, Proceedings of the
      3rd Seminar on Geometry and Topology, 271--283, Azarb. Univ.
     Tarbiat Moallem, Tabriz, 2004.
 
27. Uniform completion of kappa-frames, Proceedings of the 3rd
     Seminar on Geometry and Topology, 253--270, Azarb. Univ. Tarbiat
     Moallem, Tabriz, 2004.
 
28. Injective hulls of acts over left zero semigroups,
     M.M. Ebrahimi, M. Mahmoudi and Gh. Moghaddasi Angizan, 17th
    Algebra Seminar, Sistan-Baluchestan Univ., Zahedan, Iran, Feb.
    2006.
 
29. On Sequential Purity of Acts over a Semigroup, H. Barzegar and M. Mehdi    
      Ebrahimi, 17th Algebra Seminar,
     Sistan-Baluchestan Univ., Zahedan, Iran, Feb. 2006.
 
30. Variations and Tensor Products in a variety, M. Mehdi
     Ebrahimi, 37th Annual Iranian Mathematics Conference, Azarbaijan
     Tarbiat Moallem University, Tabriz, Iran, Sept. 2006.
 
31. Ring theory and pointfree topology, M. Mehdi Ebrahimi, 19th Algebra Seminar,
      Semnan, Esfand 1386.
 
32. Injectivity in a category, M.M Ebrahimi, M. Haddadi, M. Mahmoudi, Categorical
       methods in algebra, topology and computer science, Coimbra, Portugal, Oct. 2007.
 
33.  Pointset and pointfree topology, M.M. Ebrahimi, Workshop on
      hyperalgebras and fuzzy systems, Babolsar, 2008.

 

Research Projects (Technical Reports)

 
1. M-sets and separated M-sets,
     Tech. Rep. Shahid Beheshti Univ., 1995.
 
2.  Frame (I)},
     Tech. Rep. Shahid Beheshti Univ., 1996.
 
3.  Purity and equational Compactness of $G$-Sheaves,
    Tech. Rep. Shahid Beheshti Univ., 1997.
 
4.  Equationally Compact Projection Algebras,
    Tech. Rep. Shahid Beheshti Univ., 1998.
 
5.  Flat Projection Algebras,
    Tech. Rep. Shahid Beheshti Univ., 2000.
 
6. On Equational Compactnss, Injectivity, and Flatness
    of Separated Projection Algebras,
    Ebrahimi, M. Mehdi and Mahmoudi, M.,
   Tech. Rep. Shahid Beheshti Univ., 2001.
 
7. On the Normal Completion of Boolean Algebras in a Topos,
    Ebrahimi, M. Mehdi and Mahmoudi, M.,
    Tech. Rep. Shahid Beheshti Univ., 2001.
 
8. Derivations of l-rings and f-rings,
    M. Mehdi Ebrahimi and H. Pajoohesh,
    Shahid Beheshti Univ., 2001.
 
9. Tensor Product and Flatness of Projection Algebras,
   M. Mehdi Ebrahimi and M. Mahmoudi,
   Tech. Rep. Faculty of Mathematical Sciences,
   Shahid Beheshti University, 2001.
 
10. Cauchy Compleion of metric k-frames,
     M. Mehdi Ebrahimi and Mojgan Vojdani Tabatabaee, 2002.
 
11. Separation Axioms for Projection Spaces,
     M. Mahmoudi and M. Mehdi Ebrahimi, 2002.
 
12. The category of M-algebras, M. Mehdi Ebrahimi,
      Shahid Beheshti University, 2004.
 
13. On variation and Tensor products of M-algebras, M. Mehdi
      Ebrahimi, Shahid Beheshti University, 2005.

 

Theses Supervised

  • Master: 11 student
  • Ph.D: 7 students, 5 finished