(i)

  1. Certain questions of homological and homotopical algebra and their applications. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 48 (1975), 1-141.

  2. Algebraic K-theory. Mathematics and its Applications, 311. Kluwer Academic Publishers Group, Dordrecht, 1995.

  3. Non-abelian homological algebra and its applications. Mathematics and its Applications, 421. Kluwer Academic Publishers, Dordrecht, 1997.

(ii)

  1. Universal functors. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 38 (1965), 513-520.

  2. Extensions of regular semigroups. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 39 (1965), 3-10.

  3. On extensions and growths of finite order for completely regular spaces. (Russian) Dokl. Akad. Nauk SSSR 166 (1966), 1043--1045.

  4. A generalization of perfect mappings. (Russian) Dokl. Akad. Nauk SSSR 168 (1966), 266-268.

  5. Alexander-Kolmogorov cohomology with values in commutative inverse semigroups. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 54 (1969), 269-272.

  6. Exact homology and linking for Steenrod duality. (Russian) Dokl. Akad. Nauk SSSR 206 (1972), 21-24.

  7. Exact homology. (Russian) Collection of articles on homology theory. (Russian) Proc. A. Razmadze Math. Institute 41 (1972), 128-142.

  8. The exact homology and Tate cohomology for locally compact zero-dimensional groups. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 74 (1974), 29-32.

  9. Algebraic K-functors. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 77 (1975), 17-20.

  10. A generalization of the Milnor sequence for inverse limits. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 79 (1975), No. 1, 17-20.

  11. Homotopy of pseudosimplicial groups, nonabelian derived functors, and algebraic K-theory. (Russian) Mat. Sb. (N.S.) 98(140) (1975), No. 3(11), 339-362.

  12. The interconnection between continuity and exactness in homology theory. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 99 (1980), no. 2, 317--320.

  13. The functor K3 of Swan and Gersten. (Russian) Soobshch. Akad. Nauk Gruzin. SSR 111 (1983), No. 1, 29-31.

  14. K-theory of special normed algebras. (Russian) Uspekhi Mat. Nauk 40 (1985), No. 4(244), 169-170.

  15. K-theory of special normed rings. K-theory and homological algebra (Tbilisi, 1987-88), 95-156, Lecture Notes in Math., 1437, Springer, Berlin, 1990.

  16. On the Steenrod homology theory of compact spaces. Michigan Math. J. 38 (1991), No. 3, 323-338.

  17. Non-abelian cohomology of groups. Georgian Math. J. 4 (1997), No. 4, 313-332.

  18. Non-abelian cohomology with coefficients in crossed bimodules. Georgian Math. J. 4 (1997), No. 6, 509-522.

  19. Universal property of Kasparov bivariant K-theory. Bull. Georgian Acad. Sci. 156 (1997), No. 2, 185-189.

  20. New descriptions of the non-abelian homology of groups (with N. Inassaridze). Bull. Georgian Acad. Sci. 157 (1998), No. 2, 196-199.

  21. The second and the third non-abelian homology of groups (with N. Inassaridze). Bull. Georgian Acad. Sci. 158 (1998), No. 3, 376-378.

  22. Non-abelian homology of groups (with N. Inassaridze). K-Theory 18 (1999), No. 1, 1-17.

  23. Algebraic K-theory of normed algebras. K-Theory 21 (2000), No. 1, 25-56.

  24. Semidirect products of categorical groups (with A. R. Garzn). Obstruction theory. Homology Homotopy Appl. 3 (2001), No. 1, 111-138.

  25. Higher non-abelian cohomology of groups. Glasgow Math. J. 44 (2002), No. 3, 497-520.

  26. K-theory of stable generalized operator algebras (with T. Kandelaki). K-Theory 27 (2002), No. 2, 103-110.

  27. Mod q cohomology and Tate cohomology of groups (with D. Conduch and N. Inassaridze). Prepublication 01-29 (2001), Institute de Recherche Mathematique de Rennes.

  28. Mod q cohomology and Tate-Vogel cohomology of groups (with D. Conduch and N. Inassaridze). J. Pure Appl. Algebra, 2002. (accepted for publication)

  29. Mod q algebraic K-theory of normed algebras. (in preparation)

  30. Derivations of categorical groups (with A. Garzon and A. del Rio). Comm. Algebra, 2001 (to appear).

  31. More about (co)homology of groups and associative algebras, 2002. (preprint)

  32. Homology of groups with operators (with A. M. Cegarra). Proc. Edinburgh Math. Soc. (2), 2003 (to appear).

  33. Equivariant (co)homology of groups. (preprint)

  34. Finite K-theory spaces (with D. Arlettaz). (in preparation).