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Your search keyword '"Lapin, S. V."' showing total 239 results
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239 results on '"Lapin, S. V."'

1. The homotopy invariance of dihedral homology of involutive $A_\infty$-algebras over rings

Author

Lapin, S. V.

Subjects
Mathematics - Algebraic Topology, Mathematics - K-Theory and Homology
Abstract

The dihedral homology functor $HD:A_\infty^{{\rm inv}}(K)\to GrM(K)$ from the category $A_\infty^{{\rm inv}}(K)$ of involutive $A_\infty$-algebras over any commutative unital ring $K$ to the category $GrM(K)$ of graded $K$-modules is constructed. Further, it is showed that this functor sends homotopy equivalences of involutive $A_\infty$-algebras into isomorphisms of graded modules., Comment: arXiv admin note: substantial text overlap with arXiv:1905.10991, arXiv:1809.07510

Published
2019

2. The homotopy invariance of cyclic homology of $A_\infty$-algebras over rings

Author

Lapin, S. V.

Subjects
Mathematics - Algebraic Topology, Mathematics - K-Theory and Homology
Abstract

In the present paper the cyclic homology functor from the category of $A_\infty$-algebras over any commutative unital ring $K$ to the category of graded $K$-modules is constructed. Further, it is showed that this functor sends homotopy equivalences of $A_\infty$-algebras into isomorphisms of graded modules. As a corollary, it is obtained that the cyclic homology of an $A_\infty$-algebra over any field is isomorphic to the cyclic homology of the $A_\infty$-algebra of homologies for the source $A_\infty$-algebra.

Published
2019

3. The tensor functor from the category of $A_\infty$-algebras into the category of differential modules with $\infty$-simplicial faces

Author

Lapin, S. V.

Subjects
Mathematics - Algebraic Topology, Mathematics - K-Theory and Homology
Abstract

The tensor functor from the category of $A_\infty$-algebras into the category of differential modules with $\infty$-simplicial faces is constructed. Further, it is showed that this functor sends homotopy equivalent $A_\infty$-algebras into homotopy equivalent differential modules with $\infty$-simplicial faces.

Published
2019

4. Dihedral and reflexive modules with $\infty$-simplicial faces and dihedral and reflexive homology of involutive $A_\infty$-algebras over unital commutative rings

Author

Lapin, S. V.

Subjects
Mathematics - Algebraic Topology, Mathematics - K-Theory and Homology
Abstract

The concepts of a dihedral and a reflexive module with $\infty$-simplicial faces are introduced. For each involutive $A_\infty$-algebra, the dihedral and the reflexive tensor modules with $\infty$-simplicial faces are constructed. On the basis of dihedral and reflexive modules with $\infty$-simplicial faces that defined by an involutive $A_\infty$-algebra the constructions of the dihedral and the reflexive homology of involutive $A_\infty$-algebras over any unital commutative rings are given. The conception of an involutive homotopy unital $A_\infty$-algebra is introduced. A long exact sequence that connecting the dihedral and the reflexive homology of involutive homotopically unital $A_\infty$-algebras over any unital commutative rings is constructed.

Published
2018

5. Differential modules with $\infty$-simplicial faces and $A_\infty$-algebras

Author

Lapin, S. V.

Subjects
Mathematics - Algebraic Topology
Abstract

In the present paper, by using the colored version of the Koszul duality, the concept of a differential module with $\infty$-simplicial faces is introduced. The homotopy invariance of the structure of a differential module with $\infty$-simplicial faces is proved. The relationships between differential modules with $\infty$-simplicial faces and $A_\infty$-algebras are established. The notion of a chain realization of a differential module with $\infty$-simplicial faces and the concept of a tensor product of differential modules with $\infty$-simplicial faces are introduced. It is proved that for an arbitrary $A_\infty$-algebra the chain realization of the tensor differential module with $\infty$-simplicial faces, which corresponds to this $A_\infty$-algebra, and the $B$-construction of this $A_\infty$-algebra are isomorphic differential coalgebras.

Published
2018

6. Antinuclear antibodies in children with Wilson’s disease

Author

Kurbatova, O. V., primary, Zhuzhula, A. A., additional, Lapin, S. V., additional, Snovskaya, M. A., additional, Kozlova, D. I., additional, Petrichuk, S. V., additional, Kuptsova, D. G., additional, Kuznetsova, D. A., additional, Movsisyan, G. B., additional, Komarova, A. D., additional, Radygina, T. V., additional, Guslev, A. B., additional, Kholopova, I. V., additional, Semikina, E. L., additional, Makarova, S. G., additional, Potapov, A. S., additional, and Fisenko, A. P., additional

Published
2024
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7. Laboratory features of hemoglobinopathies

Author

Khachaturian, A. G., primary, Nazarov, V. D., additional, Lapin, S. V., additional, Sidorenko, D. V., additional, Dubina, I. A., additional, Pervakova, M. Yu., additional, Vilgelmi, A. A., additional, and Emanuel, V. L., additional

Published
2024
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8. Main circulating CD8+ T cell subsets in patients with systemic lupus erythematosus

Author

Benevolenskaya, S. S., primary, Kudriavtsev, I. V., additional, Serebriakova, M. K., additional, Rubinstein, A. A., additional, Kuvardin, E. S., additional, Grigor’yeva, I. N., additional, Aliev, D. B., additional, Zammoeva, D. B., additional, Motorin, D. B., additional, Golovkin, A. S., additional, Kalinina, O. V., additional, Lapin, S. V., additional, Gaydukova, I. Z., additional, Maslyanskiy, A. L., additional, and Gaydukova, E. K., additional

Published
2024
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10. Long-term outcomes of ruxolitinib therapy in steroid-refractory graft-versus-host disease in children and adults

Author

Moiseev, I. S., Morozova, E. V., Bykova, T. A., Paina, O. V., Smirnova, A. G., Dotsenko, A. A., Borzenkova, E. S., Galimov, A. N., Gudognikova, Ya. V., Ekushov, K. A., Kozhokar, P. V., Osipova, A. A., Pirogova, O. V., Rudakova, T. A., Klimova, O. U., Tcvetkov, N. Yu, Kulagin, E. A., Surkova, E. A., Lapin, S. V., Rodionov, G. G., Moiseev, S. I., Serov, Yu. A., Zubarovskaya, L. S., and Afanasyev, B. V.

Published
2020
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25. Hemophagocytic syndrome associated with leishmaniasis: case report

Author

Potapenko, V. G., primary, Antonov, M. M., additional, Vinogradova, N. V., additional, Doguzhieva, E. V., additional, Karev, V. E., additional, Karamurzin, E. S., additional, Kachenya, G. V., additional, Klimovich, A. V., additional, Kozlov, S. S., additional, Krivolapov, Yu. A., additional, Lapin, S. V., additional, Pervakova, M. Yu., additional, Potikhonova, N. A., additional, Fedunyak, I. P., additional, and Medvedeva, N. V., additional

Published
2022
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38. Therapeutic apheresis in the complex pathogenetic therapy of anti-NMDA encephalitis associated with ovarian teratoma at a late stage of the disease

Author

Bardakov, S. N., primary, Skulyabin, D. I., additional, Moshnikova, A. N., additional, Lapin, S. V., additional, Sokolov, A. A., additional, Kondratyeva, E. A., additional, Bulgakova, T. V., additional, Manuilov, A. S., additional, Zakharov, M. V., additional, Belskikh, A. N., additional, Tsargush, V. A., additional, and Deev, R. V., additional

Published
2021
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