| Full Name |
Mesablishvili Bachuki |
| Address |
: M. ALEXIDZE st.1 TBILISI 0193, GEORGIA
| | Phone |
995 93 18 64 95 | | Fax |
|
| E-mail |
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| 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 |