|
Full Name
|
Mesablishvili Bachuki
|
| Address | |
| : M. ALEXIDZE st.1 TBILISI 0193, GEORGIA | |
| Phone | |
| 995 93 18 64 95 | |
| Fax | |
|
E-mail
|
|
| Web Page | |
| http://rmi.acnet.ge/~bachi | |
| Date Of Birth | |
| 0000-00-00 | |
| Education | |
| Tbilisi State university, 1998, Candidate of Phys. and Math. Sciences A.Razmadze Math. Inst., 1885–1989, Post graduate studies. Tbilisi state university, 1985, Graduated | |
| Position | |
| RAZMADZE MATHEMATICAL INSTITUTE, SENIOR RESEARCH FELLOW | |
| Publications | |
| 1. The lattice of separable subalgebras of a radical extension of a connected ring. Bull. Georgian Acad. Sci., 126 (1987), pp.29-32. 2. Finite Galois extensions of a connected ring in an elementary topos. Bull. Georgian Acad. Sci. 135 (1989), pp. 32-36. 3. Fundamental theorem for finite Galois extensions of an internal commutative connected ring in an elementary topos and the functor T. Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 36 (1990), pp. 9-27. 4. Galois objects in the category of internal commutative algebras in an elementary topos and their flatness. Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 36 (1990), pp. 28-44. 5. Galois theory in a category of modulus over an elementary topos. Bull. Georgian Acad. Sci. 159 (1999), pp. 20-22 6. Pure morphisms of commuatative rings are effective descent morphisms for modules-a new proof. Theory Appl. Categ. 7 (2000), pp. 38-42. 7. (Effective) descent morphisms in the category of schemes. CT 2000, International summer conference in category theory, Como, Italy, pp.154- 156. 8. On some properties of pure morphisms of commuatative rings. Theory Appl. Categ. 10 (2002), pp.180-186 9. Descent theory for schemes. Appl. Categ. Structures 12 (2004), pp. 485-512. 10. Every small SL-enriched category is Morita equivalent to an SL-monoid . Theory Appl. Categ. 13 (2004), pp.169-171. 11. More on Descent theory for schemes. Georgian Mathematical Journal 11(4) (2004) , pp. 783-800. 12. Descent in categories of (co)algebras. Homology, Homotopy and Applications 7(1) (2005), pp. 1-8. 13. Monads of effective descent type and comonadicity, Theory and Applications of Categories, 16 (2006), pp. 1-45. 14. On the comonadicity of extension-of-scalars functors, arXiv: math. QA/0510272 (accepted for publication in Journal of Algebra). 15. On a generalization of Grothendieck’s theorem, arXiv: math.RA/0605470, 2006, Communications in Algebra (to appear). 16.Descent in *-autonomous categories, Journal of Pure and Applied Algebra (submitted). | |
| Conferences,contacts,other scientific and educational activities | |
| 1. International Conference “Homological and Homotopical Algebra”, Tbilisi, Georgia 2000. 2. International summer conference in category theory “ CT 2000”, Como, Italy, 2000. 3. Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories, The Fields Institute, Toronto, Canada, 2002. 4. Category Theory meeting, Haute-Bodeux, 7 to 13 September 2003, Belgium. | |
| Participation in Grant Projects | |
| 1. INTAS-97-31961. 2. Fonds speciaux de recherché- FSR 2001, Belguim | |
| Languages | |
| Russian, English. | |
| Scientific interests | |
| Category Theory | |
| Current scientific activities | |
| Future work plans | |
| CORING THEORY | |
| Department | |
| Theoretical Foundations in Mathematics |