Lapin Sergei Valerievich

Publications in Math-Net.Ru

1. Homotopy invariance of dihedral homology of involutive $A_\infty$-algebras
   
   Algebra i Analiz, 33:6 (2021),  78–106
2. Dihedral modules with $\infty$-simplicial faces and dihedral homology of involutive $A_\infty$-algebras over rings
   
   Algebra i Analiz, 33:3 (2021),  85–110
3. Cyclic Modules with $\infty$-Simplicial Faces and the Cyclic Homology of $A_\infty$-Algebras
   
   Mat. Zametki, 102:6 (2017),  874–895
4. Homotopy Properties of $\infty$-Simplicial Coalgebras and Homotopy Unital Supplemented $A_\infty$-Algebras
   
   Mat. Zametki, 99:1 (2016),  55–77
5. Chain Realization of Differential Modules with $\infty$-Simplicial Faces and the $B$-Construction over $A_\infty$-Algebras
   
   Mat. Zametki, 98:1 (2015),  101–124
6. Differential Lie Modules over Curved Colored Coalgebras and $\infty$-Simplicial Modules
   
   Mat. Zametki, 96:5 (2014),  709–731
7. Homotopy Simplicial Faces and the Homology of Realizations of Simplicial Topological Spaces
   
   Mat. Zametki, 94:5 (2013),  661–681
8. Homotopy Properties of Differential Lie Modules over Curved Coalgebras and Koszul Duality
   
   Mat. Zametki, 94:3 (2013),  354–372
9. Extension of the Multiplication Operation in $E_\infty$-Algebras to an $A_\infty$-Morphism of $E_\infty$-Algebras and Cartan Objects in the Category of May Algebras
   
   Mat. Zametki, 89:5 (2011),  719–737
10. Multiplicative $A_\infty$-structure in terms of spectral sequences of fibrations
    
    Fundam. Prikl. Mat., 14:6 (2008),  141–175
11. $D_\infty$-differential $E_\infty$-algebras and spectral sequences of $D_\infty$-differential modules
    
    Fundam. Prikl. Mat., 13:8 (2007),  105–125
12. $D_\infty$-differential $E_\infty$-algebras and spectral sequences of fibrations
    
    Mat. Sb., 198:10 (2007),  3–30
13. $D_\infty$-differential $E_\infty$-algebras and multiplicative spectral sequences
    
    Mat. Sb., 196:11 (2005),  75–108
14. $(DA)_\infty$-modules over $(DA)_\infty$-algebras and spectral sequences
    
    Izv. RAN. Ser. Mat., 66:3 (2002),  103–130
15. $D_\infty$-differential $A_\infty$-algebras and spectral sequences
    
    Mat. Sb., 193:1 (2002),  119–142
16. L-theory for local systems of homotopy coalgebras and the exact sequence for surgery
    
    Fundam. Prikl. Mat., 7:3 (2001),  797–828
17. Differential perturbations and $D_\infty$-differential modules
    
    Mat. Sb., 192:11 (2001),  55–76
18. Bordism groups of Poincare $E_\infty$-coalgebras and symmetric $L$-groups
    
    Mat. Sb., 186:7 (1995),  97–132
19. Normalization of reflexive and dihedral modules
    
    Mat. Zametki, 48:1 (1990),  61–67
20. Dihedral homologies $A[x]$ and $A[x,x^{-1}]$ and other algebras
    
    Mat. Zametki, 41:2 (1987),  238–247
21. Dihedral homology and cohomology. Basic notions and constructions
    
    Mat. Sb. (N.S.), 133(175):1(5) (1987),  25–48
22. Dihedral homology of a tensor algebra and of skew polynomial rings
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6,  65–67
23. Dihedral homology and cohomology
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 4,  28–32
24. Relations between the moduli of continuity of functions in different symmetric spaces, and some imbedding theorems
    
    Dokl. Akad. Nauk SSSR, 257:5 (1981),  1060–1064
25. Theorem on a convergence condition in the spaces
    
    Mat. Zametki, 21:5 (1977),  615–626