## Homology, Homotopy and Applications

- Homology Homotopy Appl.
- Volume 3, Number 1 (2001), 139-163.

### Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs

#### Abstract

We define homotopy Lie-Rinehart pairs and the associated homotopy Rinehart algebra in the context of coalgebras. We define homotopy Lie-Rinehart resolutions and present conditions under which the associated homotopy Rinehart algebra is a cohomological model for the Rinehart algebra of the resolved Lie-Rinehart pair.

#### Article information

**Source**

Homology Homotopy Appl., Volume 3, Number 1 (2001), 139-163.

**Dates**

First available in Project Euclid: 19 February 2006

**Permanent link to this document**

https://projecteuclid.org/euclid.hha/1140370269

**Mathematical Reviews number (MathSciNet)**

MR1854642

**Zentralblatt MATH identifier**

1005.17016

**Subjects**

Primary: 17B55: Homological methods in Lie (super)algebras

#### Citation

Kjeseth, Lars. Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs. Homology Homotopy Appl. 3 (2001), no. 1, 139--163. https://projecteuclid.org/euclid.hha/1140370269