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  2. Geometric morphisms and indexed topoi. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR 91 (1988), 12-18.

  3. Cohomology of algebraic theories (with T. Pirashvili). (Russian) Soobshch. Akad. Nauk Gruzin. SSR 134 (1989), No. 1, 17-19.

  4. Coefficients for cohomology of large categories. K-theory and homological algebra (Tbilisi, 1987-88), 169--179, Lecture Notes in Math., 1437, Springer, Berlin, 1990.

  5. Cohomology of large categories. I. Torsors and coefficients. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 94 (1991), 29-40.

  6. Cohomology of algebraic theories (with T. Pirashvili). J. Algebra 137 (1991), No. 2, 253--296.

  7. The frame of fibrewise closed nuclei (with P. T. Johnstone). Cahiers Topologie Gom. Diffrentielle Catg. 32 (1991), No. 2, 99-112.

  8. Bicategory interpretation of the third cohomology group. (Russian) Trudy Tbiliss. Mat. Inst. Razmadzei 97 (1992), 3-9.

  9. Some strange monoidal categories. Proc. A. Razmadze Math. Inst. 113 (1995), 83-93.

  10. Cohomology of monoids in monoidal categories (with H.-J. Baues and A. Tonks). Operads: Proceedings of Renaissance Conferences (Hartford, CT/Luminy, 1995), 137-165, Contemp. Math., 202, Amer. Math. Soc., Providence, RI, 1997.

  11. A presentation of the initial lift-algebra. Special volume on the occasion of the 60th birthday of Professor Peter J. Freyd. J. Pure Appl. Algebra 116 (1997), No. 1-3, 185-198.

  12. Hermite reciprocity for the regular representations of cyclic groups (with A. Elashvili). Indag. Math. (N.S.) 9 (1998), No. 2, 233-238.

  13. Lower bagdomain as a glueing. Proc. A. Razmadze Math. Inst. 118 (1998), 33-41.

  14. Combinatorics of necklaces and Hermite reciprocity (with A. Elashvili and D. Pataraia). J. Algebraic Combin. 10 (1999), No. 2, 173-188.

  15. Hermite reciprocity for semi-invariants in the regular representations of cyclic groups (with A. Elashvili). Proc. A. Razmadze Math. Inst. 119 (1999), 21-24.

  16. Scattered toposes (with L. Esakia and D. Pataraia). Ann. Pure Appl. Logic 103 (2000), No. 1-3, 97-107.

  17. Distribution algebras and duality (with M. Bunge, J. Funk, and T. Streicher). Adv. Math. 156 (2000), No. 1, 133-155.

  18. Suspension and loop objects and representability of tracks (with H.- J. Baues). Georgian Math. J. 8 (2001), No. 4, 683-696.

  19. Suspension and loop objects in theories and cohomology (with H.- J. Baues). Georgian Math. J. 8 (2001), No. 4, 697-712.

  20. Characteristic classes and transfer relations in cobordisms (with M. Bakuradze and V. V. Vershinin). (Russian) Uspekhi Mat. Nauk 56 (2001), No. 3(339), 157-158; English transl.: Russian Math. Surveys 56 (2001), No. 3, 572-574.

  21. The Michael completion of a topos spread (with M. Bunge, J. Funk and T. Streicher). Special volume celebrating the 70th birthday of Professor Max Kelly. J. Pure Appl. Algebra 175 (2002), No. 1-3, 63-91.

  22. Classification of abelian track categories (with H.-J. Baues). K-Theory 25 (2002), No. 3, 299-311.

  23. On Kan fibrations for Maltsev algebras (with T. Pirashvili). Georgian Math. J. 9 (2002), No. 1, 71-74.

  24. Characteristic classes and transfer relations in cobordism (with M. Bakuradze and V. Vershinin). Proc. Amer. Math. Soc. 131 (2003), No. 6, 1935-1942.