Smooth DG algebras and twisted tensor product

Author:

Orlov Dmitri Olegovich1ORCID

Affiliation:

1. Steklov Mathematical Institute of Russian Academy of Sciences

Abstract

The twisted tensor product of DG algebras is studied and sufficient conditions for smoothness of such a product are presented. It is shown that in the case of finite-dimensional DG algebras, applying this operation offers great possibilities for constructing new examples of smooth DG algebras and algebras. In particular, examples are given of families of algebras of finite global dimension with two simple modules that have non-trivial moduli spaces. Bibliography: 24 titles.

Funder

Russian Science Foundation

Publisher

Steklov Mathematical Institute

Subject

General Medicine

Reference27 articles.

1. Generators and Representability of Functors in Commutative and Noncommutative Geometry

2. Binary Quadratic Forms

3. On twisted tensor products of algebras

4. О базисных алгебрах конечной гомологической размерности;Д. В. Дубнов;Вестн. Моск. ун-та. Сер. 1. Матем., мех.,1997

5. On basis algebras of finite homological dimension;D. V. Dubnov;Moscow Univ. Math. Bull.,1997

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