ANNEXE: Publications Tbilisi

Summary: Papers: international journals published (16), in press (3), submitted (3). National journals published (10). Papers in preparation (19).

References

  1. D.Bourn and G.Janelidze, `Protomodularity, descent, and semidirect products', Theory and Application of Categories, 4 (1998) 37-46.
  2. D.Bourn and G.Janelidze, `Extensions with abelian kernels in protomodular categories', in preparation.
  3. R.Brown and G.Janelidze, `Van Kampen theorems for covering morphisms in lextensive categories', Journal of Pure and Applied Algebra, 119 (1997) 255-263.
  4. R.Brown and G.Janelidze, `Galois theory of second order covering maps of simplicial sets', Journal of Pure and Applied Algebra, 135 (1999) 23-31.
  5. R.Brown and G.Janelidze, `Some homotopy double groupoids of maps of spaces', in preparation.
  6. A.Carboni, G.Janelidze, Magid, A. R., `A note on the Galois correspondence for commutative rings', J. Algebra 183 (1996), 266-272.
  7. Carboni, A.; Janelidze, G, ``Decidable (= separable) objects and morphisms in lextensive categories'', J. Pure Appl. Algebra 110 (1996) 219-240.
  8. A.Carboni, G.Janelidze, G.M.Kelly, and R.Paré, On localization and stabilization of factorization systems, Applied categorical structures, 5 (1997) 1-58.
  9. A.Carboni and G.Janelidze, `Boolean Galois theories', in preparation.
  10. Conduché, D., Inassaridze, H. and Inassaridze, N., `Tate cohomology modulo q of groups', (in preparation).
  11. T. Datuashvili, `Kan extensions of internal functors: algebraic approach', Georgian Mathematical Journal, 6 (1999), No. 2, pp. 127-148.
  12. T. Datuashvili, `On some categorical properties of one well-known Mac Lane-Whitehead's construction', will be submitted for publication in the Georgian Mathematical Journal in August, 1998.
  13. T. Datuashvili, `Kan extensions of internal functors. non-connected case', (submitted).
  14. T. Datuashvili and A. Pirashvili, On the homology of crossed modules', (in preparation).
  15. N. Inassaridze, `Nonabelian tensor products and nonabelian homology of groups'. J. Pure Appl. Algebra 112 (1996) 191-205.
  16. N. Inassaridze, `Finiteness of a non-abelian tensor product of groups', Theory Appl. Categ. 2 (1996) 55-61.
  17. N. Inassaridze, `Nonabelian tensor product modulo q and q-homology of groups', Communication in Algebra (to appear).
  18. N. Inassaridze, `Relationship of non-abelian tensor products and non-abelian homology of groups with Whitehead's gamma functor', Proceedings of A.Razmadze Mathematical Institute, 117 (1998) 31-52.
  19. N. Inassaridze and H.Inassaridze, `New descriptions of the non-abelian homology of groups', Bulletin of Georgian Academy of Sciences 157 (1998) 196-199.
  20. N. Inassaridze and H.Inassaridze, `The second and the third non-abelian homology of groups', Bulletin of Georgian Academy of Sciences 158 (1998) 196-199.
  21. N. Inassaridze and H.Inassaridze, `Non abelian tensor products of precrossed modules', Bulletin of Georgian Academy of Sciences 156 (1997) 7-11.
  22. N. Inassaridze, with H.Inassaridze, `Non-abelian homology of groups', K-Theory 18 (1999) 1-17.
  23. N. Inassaridze, `q-homology of groups', Journal of Pure and Applied Algebra, 1999 (to appear).
  24. N. Inassaridze, with E.Khmaladze, `More computations of non-abelian tensor product modulo q of groups', (in preparation).
  25. N. Inassaridze, with E.Khmaladze, `More about homological properties of precrossed modules', Homology, Homotopy and Applications (to appear).
  26. N. Inassaridze, `Nonabelian homology of Lie algebras', (in preparation).
  27. N. Inassaridze and T.Porter, `Abelianization of crossed n-cubes and generalized Hopf formulae', (in preparation).
  28. G.Janelidze and W.Tholen, `Facets of Descent II', Applied categorical structures, 5 (1997) 229-248.
  29. G.Janelidze and M.C.Pedicchio, `Internal categories in congruence modular varieties', Journal of Algebra, 193 (1997) 552-570.
  30. G.Janelidze and G.M.Kelly, `The reflectiveness of covering morphisms in algebra and geometry', Theory and Application of Categories, 3 (1997) 132-159.
  31. G.Janelidze, L.Marki, and W.Tholen, `Locally semisimple coverings', Journal of Pure and Applied Algebra, 128 (1998) 37-46.
  32. G.Janelidze and W.Tholen, `Extended Galois theory and dissonant morphisms', Journal of Pure and Applied Algebra, 143 (1999) 231-253.
  33. G.Janelidze and W.Tholen, `Functorial factorization, well-pointedness and separability', Journal of Pure and Applied Algebra, 142 (1999) 174-187.
  34. G.Janelidze and M.C.Pedicchio, `Pseudogroupoids and commutators', Quaderno 423, February 1998, Dept. Math., Trieste University.
  35. G.Janelidze and R.H.Street, `Galois theory in Symmetric Monoidal Categories', J. Algebra 220 (1999) 174-187.
  36. G.Janelidze and G.M.Kelly, `Central extensions in universal algebra: a unification of three notions', Algebra Universalis , accepted.
  37. G.Janelidze, `Absolute homological algebra in additive categories with kernels', in preparation.
  38. G.Janelidze and L.Marki, `A combinatorial approach to Radical theory', in preparation.
  39. G.Janelidze, L.Marki and W.Tholen, `Semiabelian categories', Journal of Pure and Applied Algebra, submitted.
  40. G.Janelidze and M.Sobral, `Finite preorders in Topological Descent', in preparation.
  41. G.Janelidze and W.Tholen, `Strongly separable morphisms', in preparation.
  42. G.Janelidze and G.M.Kelly, `Central extensions in Maltsev varieties', in preparation.
  43. Lawson, M. and Patchkoria, A., `On the homotopy groups arising from 0-dimensional idempotents of simplicial inverse semigroups' (in preparation).
  44. Mesablishvili, B., `Galois Theory in a Category of Modules over an elementary Topos', Bull. Georgian Acad. Sci. 159 (1999) 20-22.
  45. Mesablishvili, B., `(Effective ) Descent Morphisms in the Category of Schemes' (in preparation).
  46. Z.Omiadze, `II-Categories: Equivalence and Adjunction', Bulletin of the Georgian Academy of Sciences, 155 (1997) 9-13.
  47. Z.Omiadze, `II-categories. Identity 1-arrow Retracts, Coretracts and Isomorphic 1-arrows', Proceedings of A.Razmadze Mathematical Institute, 117 (1998) 103-119.
  48. Z.Omiadze, `N-categories', (in preparation).
  49. Z.Omiadze, `Enrichment over categories with monoid' (in preparation).
  50. Z.Omiadze, `Coherence in N-categories' (in preparation).
  51. A.Patchkoria, `On chain complexes of semimodules', Bull. Acad. Sci. of Georgia (to appear).
  52. A.Patchkoria, `On long homology and cohomology sequences for chain complexes of semimodules', (in preparation).
  53. A.Patchkoria, `New cohomology monoids of monoids with coefficients in semimodules', (in preparation).
  54. A.Patchkoria, `Homology and cohomology monoids of presimplicial semimodules', Bull. Georgian Acad. Sci. (to appear).
  55. A.Patchkoria, `Crossed semimodules and schreier internal categories in the category of monoids', Georgian Math. Journal 5, 6, (1998) 575-581.
  56. A.Patchkoria, `Chain complexes of cancellative semimodules', Bull. Georgian Acad. Sci. (to appear).
  57. D. Zangurashvili, `Factorization systems and adjunctions, Georgian Mathematical Journal 6 (1999) 191-200.
  58. D. Zangurashvili, `Adjunctions and locally transferable factorization systems', Applied Categorical Structures (to appear).
  59. M. Sobral and D. Zangurashvili, `Parametrizing localization-stabilization for factorization systems', (in preparation).
  60. D. Zangurashvili, `Adjunctions and locally transferable factorization systems', pre-publication of Department of Mathematics of University of Coimbra, Portugal.
  61. D.Zangurashvili, `Algebra of factorization systems on Heyting algebras', (in preparation).



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