My Papers
Published / Submitted Papers:
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Non-abelian homology of groups, Bull. Georgian Acad.
Sci. 150 (1994), No 1, 13-17.
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Non-abelian Tensor Products and Non-abelian Homology of Groups ,
J. Pure Appl. Algebra, 112, 191-205, 1996.
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Finiteness of Non-abelian Tensor Product of groups,
Theory Appl. Categories, Vol. 2, No 5, 55-61, 1996.
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Non-abelian tensor products of finite groups with non-compatible actions,
Bull. Georgian Acad. Sci. 154, No 1(1996), 25-27.
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Non-abelian tensor products of precrossed modules,
Bull. Georgian Acad. Sci. 155, No 3 (1997).
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Relationship of non-abelian tensor products and non-abelian homology
of groups with Whitehead's gamma functor,
Proc. of A.Razmadze Math. Institute 117, 31-51, 1998.
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(with H.Inassaridze)New descriptions of the nonabelian homology of
groups, Bull. Georgian Acad. Sci. 157, No 2 (1998), 196-200.
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(with H.Inassaridze)The second and the third non-abelian homology of
groups, Bull. Georgian Acad. Sci. 158, No 3 (1998).
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(with H.Inassaridze)Non-abelian homology of groups,
K-Theory J. 378 (1999), 1-17.
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(with E.Khmaladze) More about homological properties of precrossed
modules, Homology, Homotopy Appl. Vol. 2, No 7 (2000), 105-114.
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On nonabelian tensor product modulo q of groups,
Comm. Algebra 29 (2001), 2657-2687.
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(with E.Khmaladze & M.Ladra) Non-abelian tensor product of Lie
algebras and its derived functors, Extracta Mathematicae Vol. 17,
Num. 2 (20002), 281-288.
- (with G.Donadze) Generalised Hopf type formulas,
Proc. A. Razmadze Math. Inst. 131 (2003), 111-113.
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(with E.Khmaladze) Non abelian (co)homology of Lie algebras, Proc. A.
Razmadze Math. Inst. 131 (2003), 123-125.
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(with D.Conduché & H.Inassaridze) Mod q cohomology and
Tate-Vogel cohomology of groups, J. Pure Appl. Algebra 189 (2004), 61-87.
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(with G.Donadze & T.Porter) n-Fold Cech derived functors and
Generalised Hopf type formulas , K-Theory 35 (2005), 341-373.
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(with E.Khmaladze & M.Ladra) Non-abelian homology of Lie
algebras, Glasgow Math. J. 46 (2004), 417-429.
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N-fold Cech derived functors of group valued functors,
Bull. Georgian Acad. Sci., 2004.
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(with J.M.Casas, E.Khmaladze & M.Ladra) Homology of n-types and Hopf type
formulas, J. Pure Appl. Algebra 200 (2005), 267-280.
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(with A.Bak, G.Donadze & M.Ladra) Homology of multiplicative Lie rings
, J.Pure Appl. Algebra 208 (2007), 761-777.
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(with E.Khmaladze & M.Ladra) Non-abelian cohomology and extensions of Lie
algebras, Journal of Lie Theory 18 (2) (2008), 413-432.
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(with M.Ladra) Hopf type formulae for cyclic homology,
C. R. Acad. Sci. Paris, Ser. I 346 (2008), 385-390.
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(with J.M.Casas & M.Ladra)
Homological aspects of Lie algebra crossed modules,
Manuscripta Mathematica 131 (2010), 385-401.
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(with G.Donadze & M.Ladra)
Cyclic homology via derived functors,
Homology, Homotopy and Applications 12 (2) (2010), 321-334.
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(with G.Donadze, E.Khmaladze & M.Ladra)
Cyclic homologies of crossed modules of algebras,
J. Noncommutative Geometry, 2011 (accepted for publication).
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(with with J.M.Casas & M.Ladra)
Degree of derived functors,
(submited).
In preparation:
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On the symbolic computation of non-abelian group homology.
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Derived functors and degrees.
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Cyclic derived functors.
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(with G.Donadze) Tensor product of multiplicative Lie rings.
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