On the Merkulov construction of $A_{ \infty}$ -(co)algebras
UDC 512.5 The aim of this short note is to complete some aspects of a theorem proved by S. Merkulov in [Int. Math. Res. Not. IMRN. – 1999. – 3. – P. 153 – 167] (Theorem 3.4), as well as to provide a complete proof of the dual result for dg coalgebras.
Saved in:
| Date: | 2019 |
|---|---|
| Main Authors: | Herscovich, E., Герскович, Е. |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2019
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1504 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
On the Merkulov construction of A∞-(co)algebras
by: E. Herscovich
Published: (2019)
by: E. Herscovich
Published: (2019)
A simple note on the Yoneda (co)algebra of a monomial algebra
by: Herscovich , E., et al.
Published: (2021)
by: Herscovich , E., et al.
Published: (2021)
A simple note on the Yoneda (co)algebra of a monomial algebra
by: E. Herscovich
Published: (2021)
by: E. Herscovich
Published: (2021)
The \(R_{\infty}\) property for Houghton's groups
by: Jo, Jang Hyun, et al.
Published: (2017)
by: Jo, Jang Hyun, et al.
Published: (2017)
On quasi-entering flow for the system $M/G/1/\infty$
by: Falin , G. I., et al.
Published: (1988)
by: Falin , G. I., et al.
Published: (1988)
Limiting theorems for the best polynomial approximations in $L_\infty$ metrics
by: Ganzburg , M. I., et al.
Published: (1991)
by: Ganzburg , M. I., et al.
Published: (1991)
Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems
by: Mazko, A., et al.
Published: (2026)
by: Mazko, A., et al.
Published: (2026)
$\varepsilon$-Isometries of convex bodies in $l^n_\infty$ and $l^n_1$
by: Vestfrid, Igor A., et al.
Published: (2025)
by: Vestfrid, Igor A., et al.
Published: (2025)
Approximation of classes $C_\infty ^{\bar \psi }$ by zygmund sumsby zygmund sums
by: Fedorenko, An. S., et al.
Published: (2000)
by: Fedorenko, An. S., et al.
Published: (2000)
Approximation of the classes $W^{r}_{\beta,\infty}$ by generalized Abel-Poisson integrals
by: Kal'chuk, I. V., et al.
Published: (2022)
by: Kal'chuk, I. V., et al.
Published: (2022)
Co-Axial Metrics on the Sphere and Algebraic Numbers
by: Chen, Zhijie, et al.
Published: (2024)
by: Chen, Zhijie, et al.
Published: (2024)
Two-sided estimates of a solution of the Neumann problem as $t \rightarrow \infty$ for a second-order Quasilinear Parabolic Equation
by: Tedeev, A. F., et al.
Published: (1996)
by: Tedeev, A. F., et al.
Published: (1996)
Approximation of functions from the classes $C^{\psi}_{\beta, \infty}$ by biharmonic Poisson integrals
by: Zhyhallo, K. M., et al.
Published: (2011)
by: Zhyhallo, K. M., et al.
Published: (2011)
Piecewise Principal Coactions of Co-Commutative Hopf Algebras
by: Zieliński, B.
Published: (2014)
by: Zieliński, B.
Published: (2014)
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction
by: Ciaglia, Florio M., et al.
Published: (2023)
by: Ciaglia, Florio M., et al.
Published: (2023)
Constructive description of monogenic functions in a harmonic algebra of the third rank
by: Plaksa, S. A., et al.
Published: (2010)
by: Plaksa, S. A., et al.
Published: (2010)
A q-analogue of the centralizer construction and skew representations of the quantum Affine algebra
by: Hopkins, M.J., et al.
Published: (2006)
by: Hopkins, M.J., et al.
Published: (2006)
n -ary comodules over n -ary (co)algebras
by: Zekovic, B.
Published: (2008)
by: Zekovic, B.
Published: (2008)
Approximation of functions from the class $\hat{C}^{\psi}_{\beta, \infty}$ by Poisson biharmonic operators in the uniform metric
by: Zhyhallo, T. V., et al.
Published: (2008)
by: Zhyhallo, T. V., et al.
Published: (2008)
On some extremal problems in the theory of approximation of functions in the spaces $S^p,\quad 1 \leq p < \infty$
by: Vakarchuk, S. B., et al.
Published: (2006)
by: Vakarchuk, S. B., et al.
Published: (2006)
The idea of the construction of the algebra of risks on the basis of the theory of complex numbers
by: V. V. Mokhor, et al.
Published: (2018)
by: V. V. Mokhor, et al.
Published: (2018)
Constructive description of monogenic functions in finite dimensional commutative algebras
by: V. S. Shpakivskyi
Published: (2015)
by: V. S. Shpakivskyi
Published: (2015)
Best $m$-term approximation of the classes $B ^{r}_{\infty, \theta}$ of functions of many variables by polynomials in the haar system
by: Stasyuk, S. A., et al.
Published: (2011)
by: Stasyuk, S. A., et al.
Published: (2011)
Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: S. A. Plaksa, et al.
Published: (2013)
by: S. A. Plaksa, et al.
Published: (2013)
Construction of an approximate solution to an optimal control problem for a singularly perturbed differential-algebraic system
by: O. V. Tarasenko
Published: (2014)
by: O. V. Tarasenko
Published: (2014)
Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
by: Plaksa, S. A., et al.
Published: (2013)
by: Plaksa, S. A., et al.
Published: (2013)
Algorithm and tools for constructing canonical forms of linear semi-algebraic formulas
by: M. S. Lvov, et al.
Published: (2018)
by: M. S. Lvov, et al.
Published: (2018)
The construction and transformation of operations and some algorithmic designs of algorithms’ algebra with the data
by: Doroshenko, A.Yu., et al.
Published: (2025)
by: Doroshenko, A.Yu., et al.
Published: (2025)
Best orthogonal trigonometric approximations of the Nikol'skii – Besov-type classes of periodic functions in the space $B_{\infty,1}$
by: Hembars’ka, S. B., et al.
Published: (2022)
by: Hembars’ka, S. B., et al.
Published: (2022)
Constructions of BiHom-X algebras and bimodules of some BiHom-dialgebras
by: Laraiedh, I., et al.
Published: (2023)
by: Laraiedh, I., et al.
Published: (2023)
Multiple minimality of the root vectors of polynomial operators bunch, perturbed by analytical operator-function $S (\lambda)$ с $S (\infty) = 0$ outside the circle
by: Radzievsky, G. V., et al.
Published: (1988)
by: Radzievsky, G. V., et al.
Published: (1988)
Approximation of the classes $B^{\Omega}_{p, \theta}$ of periodic functions of many variables by Fourier sums in the space $L_p$ with $p = 1, \infty$
by: Myronyuk, V. V., et al.
Published: (2012)
by: Myronyuk, V. V., et al.
Published: (2012)
Insurance of the construction site (construction works) as a Construction Agreement Provision
by: A. O. Nedoshovenko
Published: (2016)
by: A. O. Nedoshovenko
Published: (2016)
Pathlike Co/Bialgebras and their Antipodes with Applications to Bi- and Hopf Algebras Appearing in Topology, Number Theory and Physics
by: Kaufmann, Ralph M., et al.
Published: (2022)
by: Kaufmann, Ralph M., et al.
Published: (2022)
The Racah Algebra as a Subalgebra of the Bannai-Ito Algebra
by: Huang, Hau-Wen
Published: (2020)
by: Huang, Hau-Wen
Published: (2020)
Биотехнология получения кофермента А (CoA)
by: Супрун, С.М., et al.
Published: (2010)
by: Супрун, С.М., et al.
Published: (2010)
Compensation Effect on Cu-Co-Fe Oxide Catalysts of CO Oxidation
by: Byeda, O., et al.
Published: (2010)
by: Byeda, O., et al.
Published: (2010)
On a Lie Algebraic Characterization of Vector Bundles
by: B.A. Lecomte, P., et al.
Published: (2012)
by: B.A. Lecomte, P., et al.
Published: (2012)
Market Resilience of Business: A Theoretical Construct
by: N. L. Savytska, et al.
Published: (2024)
by: N. L. Savytska, et al.
Published: (2024)
A construction of dual box
by: Ovsienko, Serge
Published: (2018)
by: Ovsienko, Serge
Published: (2018)
Similar Items
-
On the Merkulov construction of A∞-(co)algebras
by: E. Herscovich
Published: (2019) -
A simple note on the Yoneda (co)algebra of a monomial algebra
by: Herscovich , E., et al.
Published: (2021) -
A simple note on the Yoneda (co)algebra of a monomial algebra
by: E. Herscovich
Published: (2021) -
The \(R_{\infty}\) property for Houghton's groups
by: Jo, Jang Hyun, et al.
Published: (2017) -
On quasi-entering flow for the system $M/G/1/\infty$
by: Falin , G. I., et al.
Published: (1988)