Guram Donadze

Academic Doctor of Science

Vladimer Chavchanidze Institute of Cybernetics of the Georgian Technical University

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Some generalisations of Schur's and Baer's theorem and their connection with homological algebra G. Donadze, X. García--MartínezarticleWiley-VCH GmbH/Mathematische Nachrichten, November 2021/ vol. 294(1), pp. 2129–2139Impact factor:1.228 ISSN:1522-2616 https://doi.org/10.1002/mana.201900495EnglishState Targeted Program
On finite-by-nilpotent groups E. Detomi, G. Donadze, M. Morigi, P. ShumyatskyarticleCambridge Core / Glasgow Mathematical Journal, January 2021 / vol. 63, Issue 1, pp. 54-58Impact factor:0.80, SJR:0.842 ISSN: 1469-509X, 0017-0895 https://doi.org/10.1017/S0017089519000508EnglishState Targeted Program
Schur’s theorem and its relation to the closure properties of the non-abelian tensor productG. Donadze, M. Ladra, P. Páez-GuillánarticleRoyal Society of Edinburg /Proceedings of the Royal Society of Edinburg Section A Mathematics, April 2020 / vol. 150 , Issue 2, pp. 993-1002Impact factor:1.642 (Scopus) ISSN: 0308-2105 (Print), 1473-7124 (Online) https://doi.org/10.1017/prm.2018.150EnglishState Targeted Program
A comonadic interpretation of Baues-Ellis homology of crossed modulesG. Donadze, T. Van Der LindenarticleSpringer / Journal of Homotopy and Related Structures, 2019/ vol. 14 , pp. 625-646Impact factor: 0.69; SJR: 0.349 ISSN:1512-2891(Electronic), ISSN:2193-8407(Print) https://doi.org/10.1007/s40062-018-0225-3EnglishState Targeted Program
A proof of the Anderson-Badawi rad(I)n  I formula for n-absorbing ideals.G. DonadzearticleIndian Academy of Sciences/ Proceedings-Mathematical Sciences, 2018/ vol. 128, 6 pp.Impact factor: 0.447 ISSN: 0973-7685 doi.org/10.1007/s12044-018-0386-3EnglishState Targeted Program
Exact sequences in homology of multiplicative Lie rings and a new version of Stallings theorem G. Donadze, N. Inassaridze, M. Ladra, A. M. Vieites.article"Elsevier/ J. Pure Appl. Algebra, July 2018/vol. 222, Issue 7, pp. 1786-1802. "Impact factor: 0.831 ISSN: 0022-4049 https://doi.org/10.1016/j.jpaa.2017.08.006EnglishState Targeted Program
A non-abelian exterior product and homology of Leibniz algebrasG. Donadze, X. Garca-Martnez, E. KhmaladzearticleSpringer Nature/Revista Matemática Complutense, 2018/ vol. 31, pp. 217–236 Impact factor: 1.227 ISSN: 1139-1138; E- ISSN:1988-2807 https://doi.org/10.1007/S13163-017-0237-2EnglishState Targeted Program
On the second stable homotopy group of of the Eilenberg-Maclane spaceA. A. Antony, G. Donadze, V. Prasad, V.Z. ThomasarticleSpringer/ Math. Z. 2017/ vol. 287 (3-4), pp. 1327-1342Impact Factor: 0.964 ISSN: 0025-5874; E- ISSN:1432-1823 https://doi.org/10.48550/arXiv.1508.04404 EnglishState Targeted Program
On some closure properties of the non-abelian tensor productG. Donadze, M. Ladrab, V.Z. ThomasaarticleAcademic Press Inc. /Journal of Algebra February 2017/ vol. 472, pp. 399-413Impact Factor:0.890, SJR:1.154 ISSN:0021-8693; 1090-266X https://doi.org/10.1016/j.jalgebra.2016.10.045EnglishState Targeted Program
The Anderson-Badawi conjecture for commutative algebras over infinite fieldsG. DonadzearticleSpringer Nature/ Indian J Pure Appl Math. June 2016/vol. 47, pp. 691-696 Impact factor:0.372 ISSN: 0019-5588; E-ISSN:0975-7465 https://doi.org/DOI:10.1007/S13226-016-0194-3EnglishState Targeted Program
Bazzoni-Glaz conjectureG. Donadze, V. ThomasarticleAcademic Press Inc. /Journal of Algebra February 2014/ vol. 420, pp. 141-160Impact Factor: 0.890, SJR: 1.154 ISSN:0021-8693; 1090-266X https://doi.org/10.1016/j.jalgebra.2014.08.018 EnglishState Targeted Program
The excision Theorems in Hochschild and cyclic homologiesG.Donadze, M. LadraarticleCambridge University Press /Proceedings of the Royal Society of Edinburgh Section A: Mathematics, March 2014/ vol. 144, Issue 2, pp. 305 – 317Impact Factor:1.52; SJR:0.939 ISSN: 0308-2105, E-ISSN:1473-7124 https://doi.org/10.1017/S0308210512001874EnglishState Targeted Program
Chevalley-Eilenberg homology of crossed modules of LiealgebrasG.Donadze, M. LadraarticleHomology, Homotopy and Applications, vol. 15, December 2013, no.2, pp. 185-194 Impact Factor:1.14; SJR:0.593 ISSN:1532-0073, 1532-0081 https://doi.org/10.4310/HHA.2013.v15.n2.a12EnglishState Targeted Program
Cotriple homology of crossed 2-cubes of Lie algebrasG. Donadze, M. Ladraarticle"World Scientific (United States)/Journal of Algebra and its Applications, 2013/ vol. 12, No. 6, 1350007 (21 pages) "Impact Factor: 0.569 ISSN: 0219-4988 ,|E-ISSN:1793-6829 https://doi.org/10.1142/S0219498813500072 EnglishState Targeted Program
On the non-existence of a cyclic homology theory with coefficientsG. Donadze, M. LadraarticleInternational Press of Boston/Math. Research Letters, 2012/ vol. 19, no. 4, pp. 837-845 Impact Factor: 1.53; SJR:1.177 ISSN:1073-2780 https://dx.doi.org/10.4310/MRL.2012.v19.n4.a8EnglishState Targeted Program
Cyclic homologies of crossed modules of algebrasG. Donadze, N. Inassaridze, E. Khmaladze and M. LadraarticleEuropean Mathematical Society Publishing House/J. Non-Comm. Geometry, 2012/ vol. 6, no. 4, pp. 749-771Impact Factor:1.35; SJR:1.037 ISSN:1661-6960, 1661-6952 https://dx.doi.org/10.4171/JNCG/104EnglishState Targeted Program
On a Statement Equivalent to the Riemann HypothesisG. Donadze article Steklov Mathematical Institute of Russian Academy of Sciences/Matematicheskie Zametki, April 2012/ vol. 91, no. 3, pp. 347-352Impact Factor: 0.673 ISSN: 0025-567X, E-ISSN:2305-2880 https://doi.org/10.1134/S0001434612030030EnglishState Targeted Program
More on the Hochschild and cyclic homologies of crossed modules of algebrasG. Donadze , M. LadraarticleTaylor & Francis /Communications in Algebra, 2011/ vol. 39, Issue 11, pp. 4447-4460Impact Factor: 0.762 ISSN: 0092-7872, E-ISSN:1532-4125 https://doi.org/10.1080/00927872.2010.515638EnglishState Targeted Program
Cyclic homology via derived functorG. Donadze, N. Inassaridze, M. LadraarticleInternational Press of Boston/ Homology, Homotopy and Applications, December 2010/vol. 12, no.2, pp. 321-334Impact Factor:1.14; SJR:0.593 ISSN:1532-0073, 1532-0081 https://doi.org/110.4310/HHA.2010.v12.n2.a10EnglishState Targeted Program
On the groups with isomorphic integral group ringsG. Donadze, M. LadraarticleWorld Scientific (Singapore)/ Int. J.Algebra, 2009/ vol. 3, no. 9-12, pp. 525-529Impact factor: 0.719 "ISSN:0218-1967; E-ISSN:1793-6500 " EnglishState Targeted Program
More on five commutator identitiesG. Donadze, M. Ladra articleSpringer-Verlag/ J. Homotopy Relat. Struct. 2007/vol.2, no. 1, pp.45-55 Impact Factor:0.69; SJR:0.349 ISSN: 1512-2891 https://doi.org/10.4310/HHA.2009.v11.n2.a1EnglishState Targeted Program
Homology of multiplicative Lie ringsA. A. Bak, G. Donadze, N. Inassaridze, M. Ladra article Elsevier/J. Pure Appl. Algebra, 2007/, vol. 208, no. 2, pp. 761-777 Impact factor: 1,47; SJR:1.075 ISSN: 0022-4049 https://doi.org/10.1016/j.jpaa.2006.03.029EnglishState Targeted Program
N-fold Cech derived functors and generalized Hopf type formulasG. Donadze, N. Inassaridze, T. PorterarticleSpringer/K-Theory, August 2005/ vol. 35,no. 3-4, pp.341-3730 ISSN: 1573-0514, 0920-3036 https://doi.org/10.1007/S10977-005-3115-5EnglishState Targeted Program

Web of Science: ციტირების ინდექსი-108, H ინდექსი-5
Scopus: ციტირების ინდექსი-87, H ინდექსი-5
Google Scholar: ციტირების ინდექსი-162, H ინდექსი-7

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Research articles in high impact factor and local Scientific Journals


Schur’s theorem and its relation to the closure properties of the non-abelian tensor product, Proceedings of the Royal Society of Edinburg Section A Mathematics, April 2020, vol. 150 , Issue 2, pp. 993-1002, Royal Society of EdinburgState Target Program

We show that the Schur multiplier of a Noetherian group need not be finitely generated. We prove that the non-abelian tensor product of a polycyclic (resp. polycyclic-by-finite) group and a Noetherian group is a polycyclic (resp. polycyclic-by-finite) group. We also prove new versions of Schur's theorem.

https://doi.org/10.1017/prm.2018.150
On finite-by-nilpotent groups, Glasgow Mathematical Journal, January 2021, vol. 63, Issue 1, pp. 54-58, Cambridge CoreState Target Program

Let   gn = [x1, . . . , xn] be the nth lower central word. Denote by Xn the set of gn-values in a group G and suppose that there is a number m such that |gXn| ≤ m for each g ∈ G. We prove that gn+1(G) has finite (m, n)-bounded order. This generalizes the much celebrated theorem of B. H. Neumann that says that the commutator subgroup of a BFC-group is finite.

https://doi.org/10.1017/S0017089519000508
Some generalisations of Schur's and Baer's theorem and their connection with homological algebra, Mathematische Nachrichten, November 2021, vol. 294(1), pp. 2129–2139, Wiley-VCH GmbH State Target Program

Schur’s theoremand its generalisation, Baer’s theorem, are distinguished results in group theory, connecting the upper central quotients with the lower central series. The aim of this paper is to generalise these results in two different directions, using novel methods related with the non-abelian tensor product. In particular, we prove a version of Schur–Baer theorem for finitely generated groups.


https://doi.org/10.1002/mana.201900495

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