18 citations · 57 across the 24 of their papers we have counts for
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math.RA2020
Pre-Calabi-Yau algebras and noncommutative calculus on higher cyclic Hochschild cohomology
Natalia Iyudu, Maxim Kontsevich
We prove -formality for the higher cyclic Hochschild complex $\chH$ over free associative algebra or path algebra of a quiver. The $\chH$ complex is introduced as an ap…
math.RA2020★ 3 cited
Classification of contraction algebras and pre-Lie algebras associated to braces and trusses
Natalia Iyudu
We develop tools for classification of contraction algebras and apply these to solve the problem on classification up to isomorphism of 8 and 9 dimensional algebras corresponding t…
math.RA2020★ 1 cited
Homologies of monomial operads and algebras
Natalia Iyudu, Ioannis Vlassopoulos
We consider the bar complex of a monomial non-unital associative algebra . It splits as a direct sum of complexes , defined for any fixe…