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  1. 1

    Efficient tree tensor network states (TTNS) for quantum chemistry: generalizations of the density matrix renormalization group algorithm by Nakatani, Naoki, Chan, Garnet Kin-Lic

    ISSN: 1089-7690, 1089-7690
    Published: United States 07.04.2013
    Published in The Journal of chemical physics (07.04.2013)
    “…We investigate tree tensor network states for quantum chemistry. Tree tensor network states represent one of the simplest generalizations of matrix product states and the density matrix renormalization group…”
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    Journal Article
  2. 2

    Efficient Tree Tensor Network States (TTNS) for Quantum Chemistry: Generalizations of the Density Matrix Renormalization Group Algorithm by Nakatani, Naoki, Chan, Garnet Kin-Lic

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 14.03.2013
    Published in arXiv.org (14.03.2013)
    “…We investigate tree tensor network states for quantum chemistry. Tree tensor network states represent one of the simplest generalizations of matrix product states and the density matrix renormalization group…”
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    Paper
  3. 3

    Automorphisms and model-theory questions for Nilpotent matrix groups and rings by Levchuk, V. M., Minakova, E. V.

    ISSN: 1072-3374, 1573-8795
    Published: Boston Springer US 01.05.2010
    “… In addition, we investigate isomorphisms and elementary equivalence of Jordan niltriangular matrix rings…”
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    Journal Article
  4. 4

    Automorphisms and model-theory questions for nilpotent matrix groups and rings: UDC 512.55 by Levchuk, V.M, Minakova, E.V

    ISSN: 1072-3374
    Published: Springer 05.05.2013
    “… In addition, we investigate isomorphisms and elementary equivalence of Jordan niltriangular matrix rings…”
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    Journal Article
  5. 5

    Ground-state properties of the symmetric single-impurity Anderson model on a ring from Density-Matrix Renormalization Group, Hartree-Fock, and Gutzwiller theory by Barcza, Gergely, Gebhard, Florian, Linneweber, Thorben, Örs Legeza

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 23.04.2019
    Published in arXiv.org (23.04.2019)
    “…\). We compare Gutzwiller variational and magnetic Hartree-Fock results in the thermodynamic limit with numerically exact data from the Density-Matrix Renormalization Group (DMRG…”
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    Paper
  6. 6

    TRIANGULAR MATRICES OVER GROUP RINGS by ENRIGHT, DENNIS EDWARD

    ISBN: 9781083709059, 1083709054
    Published: ProQuest Dissertations & Theses 01.01.1968
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    Dissertation
  7. 7

    Paraunitary matrices and group rings by Barry Hurley, Ted Hurley

    ISSN: 2251-7650, 2251-7669
    Published: University of Isfahan 01.03.2014
    Published in International journal of group theory (01.03.2014)
    “…Design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structuresare presented…”
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    Journal Article
  8. 8
  9. 9

    Finite Matrix Groups over Nilpotent Group Rings by Marciniak, Zbigniew S., Sehgal, Sudarshan K.

    ISSN: 0021-8693, 1090-266X
    Published: Elsevier Inc 15.04.1996
    Published in Journal of algebra (15.04.1996)
    “…We study groups of matricesSGLn(ZΓ) of augmentation one over the integral group ring ZΓ…”
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    Journal Article
  10. 10

    Torsion units in matrix group rings by Luthar, I.S., Passi, I.B.S.

    ISSN: 0092-7872, 1532-4125
    Published: Gordon and Breach Science Publishers Ltd 01.01.1992
    Published in Communications in algebra (01.01.1992)
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    Journal Article
  11. 11

    Group structures of twistulant matrices over rings by Recillas, H.tapia, Velazco - Velazco, J. Armando

    ISSN: 1306-6048, 1306-6048
    Published: 14.07.2025
    “… It is determined these matrices over a ring are an abelian group and when they are defined over a field the diagonalization of such matrices is considered…”
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    Journal Article
  12. 12

    Unipotent Matrix Groups Over Division Rings by Mochizuki, H. Y.

    ISSN: 0008-4395, 1496-4287
    Published: Cambridge, UK Cambridge University Press 01.06.1978
    Published in Canadian mathematical bulletin (01.06.1978)
    “…If G is a unipotent group of n×n matrices over a division ring of characteristic 0 or prime p greater than (n- 1) (n-[n/2]) where [n/2…”
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    Journal Article
  13. 13

    Automorphism groups of generalized triangular matrix rings by Ánh, P.N., van Wyk, L.

    ISSN: 0024-3795
    Published: Amsterdam Elsevier Inc 15.02.2011
    Published in Linear algebra and its applications (15.02.2011)
    “… ) generalized triangular matrix ring R M 0 S , for some rings R and S and some R - S -bimodule R M…”
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    Journal Article
  14. 14

    Isomorphisms of matrix groups over commutative rings by Petechuk, V. M., Petechuk, J. V.

    ISSN: 0001-6969, 2064-8316
    Published: Cham Springer International Publishing 01.06.2017
    Published in Acta scientiarum mathematicarum (Szeged) (01.06.2017)
    “…We give a description of the isomorphism classes of matrix groups over commutative rings with 1 and that have dimension more than 3 and containing the group of elementary transvections…”
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    Journal Article
  15. 15

    Groups of invertible elements of matrix rings by Popova, A. M.

    ISSN: 0037-4466, 1573-9260
    Published: 01.10.1999
    Published in Siberian mathematical journal (01.10.1999)
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    Journal Article
  16. 16

    Finite Groups of Matrices over Division Rings by Banieqbal, Behnam

    ISBN: 9781392828298, 1392828295
    Published: ProQuest Dissertations & Theses 01.01.1984
    “…) where D is a division algebra of characteristic zero. Secondly the following theorem is proved Theorem Let k be a number field and H < G finite groups…”
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    Dissertation
  17. 17

    Reversibility in matrix rings and group algebras: Reversibility in matrix rings and group algebras by Dung, Truong Huu, Hai, Bui Xuan, Son, Tran Nam

    ISSN: 0031-5303, 1588-2829
    Published: Cham Springer International Publishing 01.03.2025
    Published in Periodica mathematica Hungarica (01.03.2025)
    “… generated by reversible elements in matrix rings and group algebras…”
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    Journal Article
  18. 18

    Abelian Group Gradings on Full Matrix Rings by Chun, Jang-Ho, Lee, Jaeun

    ISSN: 0092-7872, 1532-4125
    Published: Taylor & Francis Group 21.09.2007
    Published in Communications in algebra (21.09.2007)
    “…For positive integers ℓ and n, several authors studied ℤ ℓ -gradings of the full matrix ring M n (k) over a field k…”
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    Journal Article
  19. 19

    Aautomorphism groups of certain structural matrix rings by Coelho, Sônia P.

    ISSN: 0092-7872, 1532-4125
    Published: Gordon and Breach Science Publishers Ltd 01.01.1994
    Published in Communications in algebra (01.01.1994)
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    Journal Article
  20. 20

    Two remarks on matrices over group rings by Timoshenko, E. I.

    ISSN: 0001-4346, 1573-8876
    Published: Moscow Pleiades Publishing 01.01.2016
    Published in Mathematical Notes (01.01.2016)
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    Journal Article