Pseudoalgebra

Short description: 2-category version of algebra

In algebra, given a 2-monad T in a 2-category, a pseudoalgebra for T is a 2-category-version of algebra for T, that satisfies the laws up to coherent isomorphisms.

See also

• Operad

References

• Towards higher categories. The IMA Volumes in Mathematics and its Applications. 152. Springer, New York. 2010. doi:10.1007/978-1-4419-1524-5. ISBN 978-1-4419-1523-8. 
• Shulman, Michael A. (2012). "Not every pseudoalgebra is equivalent to a strict one". Advances in Mathematics 229 (3): 2024–2041. doi:10.1016/j.aim.2011.01.010. 

External links

• https://ncatlab.org/nlab/show/pseudoalgebra+for+a+2-monad
• https://golem.ph.utexas.edu/category/2014/06/codescent_objects_and_coherenc.html