S. Lapin

most citedThe homotopy invariance of cyclic homology of

A_{\infty}

-algebras over rings

2 citations · 2 across the 3 of their papers we have counts for

collaborators

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math.AT2019

The homotopy invariance of dihedral homology of involutive $A_{\infty}$ -algebras over rings

S. V. Lapin

The dihedral homology functor $H D : A_{\infty}^{inv} (K) \to G r M (K)$ from the category $A_{\infty}^{inv} (K)$ of involutive $A_{\infty}$ -algebras over any commutative unital ring $K$ …

math.AT2019★ 2 cited

The homotopy invariance of cyclic homology of $A_{\infty}$ -algebras over rings

S. V. Lapin

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.…

math.AT2019

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

S. V. Lapin

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…

math.AT2018

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

S. V. Lapin

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 modul…

math.AT2018

Differential modules with $\infty$ -simplicial faces and $A_{\infty}$ -algebras

S. V. Lapin

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…

The homotopy invariance of dihedral homology of involutive A∞​-algebras over rings

The homotopy invariance of cyclic homology of A∞​-algebras over rings

The tensor functor from the category of A∞​-algebras into the category of differential modules with ∞-simplicial faces

Dihedral and reflexive modules with ∞-simplicial faces and dihedral and reflexive homology of involutive A∞​-algebras over unital commutative rings

Differential modules with ∞-simplicial faces and A∞​-algebras

The homotopy invariance of dihedral homology of involutive $A_{\infty}$ -algebras over rings

The homotopy invariance of cyclic homology of $A_{\infty}$ -algebras over rings

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

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

Differential modules with $\infty$ -simplicial faces and $A_{\infty}$ -algebras