@article { author = {Hofmann, Dirk and Seal, Gavin J.}, title = {A cottage industry of lax extensions}, journal = {Categories and General Algebraic Structures with Applications}, volume = {3}, number = {1}, pages = {113-151}, year = {2015}, publisher = {Shahid Beheshti University}, issn = {2345-5853}, eissn = {2345-5861}, doi = {}, abstract = {In this work, we describe an adjunction between the comma category of Set-based monads under the V -powerset monad and the category of associative lax extensions of Set-based monads to the category of V -relations. In the process, we give a general construction of the Kleisli extension of a monad to the category of V-relations.}, keywords = {Monad,lax extension,quantale,enriched category}, url = {https://cgasa.sbu.ac.ir/article_10709.html}, eprint = {https://cgasa.sbu.ac.ir/article_10709_6dda525bdadbecfac60152d5865b84f9.pdf} }