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One Resolution of the Conjecture between the Projective Dimension of a Simple Module S of an Artinian Ring on Zero Radical’s Cube and the First Bifunctor Extension on S.
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- European Journal of Pure & Applied Mathematics, 2024, v. 17, n. 3, p. 1855, doi. 10.29020/nybg.ejpam.v17i3.5224
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Spectral triples for noncommutative solenoids and a Wiener's lemma.
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- Journal of Noncommutative Geometry, 2024, v. 18, n. 4, p. 1415, doi. 10.4171/JNCG/557
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The Artin component and simultaneous resolution via reconstruction algebras of type A.
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- Journal of Noncommutative Geometry, 2024, v. 18, n. 4, p. 1229, doi. 10.4171/JNCG/552
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Commutative Poisson algebras from deformations of noncommutative algebras.
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- Letters in Mathematical Physics, 2024, v. 114, n. 5, p. 1, doi. 10.1007/s11005-024-01855-3
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Prime Ideals of q-Commutative Power Series Rings.
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- Algebras & Representation Theory, 2011, v. 14, n. 6, p. 1003, doi. 10.1007/s10468-010-9225-7
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F-Polynomials in Quantum Cluster Algebras.
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- Algebras & Representation Theory, 2011, v. 14, n. 6, p. 1025, doi. 10.1007/s10468-010-9226-6
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- Article
Hochschild cohomology of twisted tensor products.
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- Mathematische Zeitschrift, 2022, v. 301, n. 2, p. 1237, doi. 10.1007/s00209-021-02949-7
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The derived deformation theory of a point.
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- Mathematische Zeitschrift, 2022, v. 300, n. 3, p. 3023, doi. 10.1007/s00209-021-02892-7
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Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems.
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- Mathematische Zeitschrift, 2011, v. 268, n. 3/4, p. 993, doi. 10.1007/s00209-010-0705-6
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Convolution semigroups of states.
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- Mathematische Zeitschrift, 2011, v. 267, n. 1/2, p. 325, doi. 10.1007/s00209-009-0621-9
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The shifted plactic monoid.
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- Mathematische Zeitschrift, 2010, v. 266, n. 2, p. 363, doi. 10.1007/s00209-009-0573-0
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- Article
Soliton Scattering in Noncommutative Spaces.
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- Theoretical & Mathematical Physics, 2018, v. 197, n. 1, p. 1451, doi. 10.1134/S0040577918100045
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- Article
Quasideterminant solutions of the extended noncommutative Kadomtsev-Petviashvili hierarchy.
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- Theoretical & Mathematical Physics, 2017, v. 192, n. 1, p. 982, doi. 10.1134/S0040577917070042
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Integer-valued characteristics of solutions of the noncommutative sigma model.
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- Theoretical & Mathematical Physics, 2014, v. 178, n. 3, p. 265, doi. 10.1007/s11232-014-0142-5
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Generalized Weyl correspondence and Moyal multiplier algebras.
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- Theoretical & Mathematical Physics, 2012, v. 173, n. 1, p. 1359, doi. 10.1007/s11232-012-0119-1
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Twisted convolution and Moyal star product of generalized functions.
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- Theoretical & Mathematical Physics, 2012, v. 172, n. 1, p. 885, doi. 10.1007/s11232-012-0084-8
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Noncommutative mechanics and exotic Galilean symmetry.
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- Theoretical & Mathematical Physics, 2011, v. 167, n. 3, p. 816, doi. 10.1007/s11232-011-0065-3
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Wigner functions for the Landau problem in noncommutative quantum mechanics.
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- Theoretical & Mathematical Physics, 2011, v. 167, n. 2, p. 628, doi. 10.1007/s11232-011-0047-5
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Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras.
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- Theoretical & Mathematical Physics, 2009, v. 159, n. 3, p. 842, doi. 10.1007/s11232-009-0072-9
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Moduli spaces of solutions of a noncommutative sigma model.
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- Theoretical & Mathematical Physics, 2008, v. 156, n. 3, p. 1231, doi. 10.1007/s11232-008-0103-y
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Current algebra and the nonlinear σ-model.
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- Theoretical & Mathematical Physics, 2007, v. 151, n. 3, p. 774, doi. 10.1007/s11232-007-0063-7
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Kazhdan-Lusztig correspondence for the representation category of the triplet W-algebra in logarithmic CFT.
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- Theoretical & Mathematical Physics, 2006, v. 148, n. 3, p. 1210, doi. 10.1007/s11232-006-0113-6
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Aspects of Matrix Theory and Noncommutative Geometry.
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- Theoretical & Mathematical Physics, 2005, v. 145, n. 2, p. 1525, doi. 10.1007/s11232-005-0179-6
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Dynamical equations for the quantum product on a symplectic space in affine coordinates.
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- Mathematical Notes, 2005, v. 77, n. 1/2, p. 39, doi. 10.1007/s11006-005-0004-4
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On locally free Abelian groups.
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- Mathematical Notes, 2005, v. 77, n. 1/2, p. 112, doi. 10.1007/s11006-005-0011-5
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On Nilpotent Power MR-Groups.
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- Journal of Mathematical Sciences, 2023, v. 275, n. 6, p. 653, doi. 10.1007/s10958-023-06706-5
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On the Asymptotics of Multiplicities for Large Tensor Product of Representations of Simple Lie Algebras.
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- Journal of Mathematical Sciences, 2023, v. 275, n. 3, p. 348, doi. 10.1007/s10958-023-06686-6
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Victor Timofeevich Markov (21.06.1948–15.07.2019).
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- Journal of Mathematical Sciences, 2022, v. 262, n. 5, p. 592, doi. 10.1007/s10958-022-05840-w
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Hausdorff Analytic Functions in a Three-Dimensional Associative Noncommutative Algebra.
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- Journal of Mathematical Sciences, 2022, v. 262, n. 2, p. 207, doi. 10.1007/s10958-022-05811-1
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Free loci of matrix pencils and domains of noncommutative rational functions.
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- Commentarii Mathematici Helvetici, 2017, v. 92, n. 1, p. 105, doi. 10.4171/CMH/408
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A combinatorial proof for the relation between the exponential function and the logarithmic function.
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- Aequationes Mathematicae, 2020, v. 94, n. 2, p. 345, doi. 10.1007/s00010-020-00709-2
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Generalized derivations on some convolution algebras.
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- Aequationes Mathematicae, 2018, v. 92, n. 2, p. 223, doi. 10.1007/s00010-017-0531-6
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A GENERALIZATION OF QUASI-SHUFFLE ALGEBRAS AND AN APPLICATION TO MULTIPLE ZETA VALUES.
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- Integers: Electronic Journal of Combinatorial Number Theory, 2022, v. 22, p. 1
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ON BIALGEBRAS, COMODULES, DESCENT DATA AND THOM SPECTRA IN ∞-CATEGORIES.
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- Homology, Homotopy & Applications, 2023, v. 25, n. 2, p. 219, doi. 10.4310/HHA.2023.v25.n2.a10
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CYCLIC VS MIXED HOMOLOGY.
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- Homology, Homotopy & Applications, 2018, v. 20, n. 1, p. 237, doi. 10.4310/HHA.2018.v20.n1.a14
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Defining relations of quantum symmetric pair coideal subalgebras.
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- Forum of Mathematics, Sigma, 2021, v. 9, p. 1, doi. 10.1017/fms.2021.61
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Hilbert's 17th problem in free skew fields.
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- Forum of Mathematics, Sigma, 2021, v. 9, p. 1, doi. 10.1017/fms.2021.54
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A decomposition theorem for real rank zero inductive limits of 1-dimensional non-commutative CW complexes.
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- Journal of Topology & Analysis, 2019, v. 11, n. 1, p. 181, doi. 10.1142/S1793525319500080
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Spanier–Whitehead K-duality for C<sup>∗</sup>-algebras.
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- Journal of Topology & Analysis, 2019, v. 11, n. 1, p. 21, doi. 10.1142/S1793525319500055
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Noncommutative Correction to the Entropy of Charged BTZ Black Hole.
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- Symmetry (20738994), 2023, v. 15, n. 2, p. 417, doi. 10.3390/sym15020417
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Klein-Gordon Theory in Noncommutative Phase Space.
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- Symmetry (20738994), 2023, v. 15, n. 2, p. 367, doi. 10.3390/sym15020367
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Harmonic Oscillator Coherent States from the Standpoint of Orbit Theory.
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- Symmetry (20738994), 2023, v. 15, n. 2, p. 282, doi. 10.3390/sym15020282
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Noncommutative Bispectral Algebras and Their Presentations.
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- Symmetry (20738994), 2022, v. 14, n. 10, p. N.PAG, doi. 10.3390/sym14102202
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Noncommutative Integration of Generalized Diffusion PDE.
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- Symmetry (20738994), 2022, v. 14, n. 10, p. N.PAG, doi. 10.3390/sym14102049
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A Generalization of Quaternions and Their Applications.
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- Symmetry (20738994), 2022, v. 14, n. 3, p. 599, doi. 10.3390/sym14030599
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Quantum Fields as Category Algebras.
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- Symmetry (20738994), 2021, v. 13, n. 9, p. 1727, doi. 10.3390/sym13091727
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Category Algebras and States on Categories.
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- Symmetry (20738994), 2021, v. 13, n. 7, p. 1172, doi. 10.3390/sym13071172
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Heisenberg Doubles for Snyder-Type Models.
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- Symmetry (20738994), 2021, v. 13, n. 6, p. 1055, doi. 10.3390/sym13061055
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Q-Filters of Quantum B-Algebras and Basic Implication Algebras.
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- Symmetry (20738994), 2018, v. 10, n. 11, p. 573, doi. 10.3390/sym10110573
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The Structure Theorems of Pseudo-BCI Algebras in Which Every Element is Quasi-Maximal.
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- Symmetry (20738994), 2018, v. 10, n. 10, p. 465, doi. 10.3390/sym10100465
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