%0 Journal Article %1 admek1999essentially %A Adámek, J. %A Hébert, M. %A Rosický, J. %D 1999 %I Birkhäuser Verlag %J algebra universalis %K algebraic essentially theory %N 3 %P 213-227 %R 10.1007/s000120050111 %T On essentially algebraic theorries and their generalizations %U http://dx.doi.org/10.1007/s000120050111 %V 41 %X A new proof of the fact that locally presentable categories precisely correspond to essentially algebraic theories is presented. An analogous result for locally generated categories is obtained. And in the same vein Diers’ locally multipresentable categories are characterized via essentially multialgebraic theories, and they are generalized to locally multigenerated categories.

@article{admek1999essentially, abstract = { A new proof of the fact that locally presentable categories precisely correspond to essentially algebraic theories is presented. An analogous result for locally generated categories is obtained. And in the same vein Diers’ locally multipresentable categories are characterized via essentially multialgebraic theories, and they are generalized to locally multigenerated categories.}, added-at = {2015-02-14T03:21:35.000+0100}, author = {Adámek, J. and Hébert, M. and Rosický, J.}, biburl = {https://www.bibsonomy.org/bibtex/208b69fe3df431e00e43631b5d7f3e3bc/t.uemura}, description = {On essentially algebraic theorries and their generalizations - Springer}, doi = {10.1007/s000120050111}, interhash = {4a5bc9e94adaed915091558466fc3181}, intrahash = {08b69fe3df431e00e43631b5d7f3e3bc}, issn = {0002-5240}, journal = {algebra universalis}, keywords = {algebraic essentially theory}, language = {English}, number = 3, pages = {213-227}, publisher = {Birkhäuser Verlag}, timestamp = {2015-02-14T03:21:35.000+0100}, title = {On essentially algebraic theorries and their generalizations}, url = {http://dx.doi.org/10.1007/s000120050111}, volume = 41, year = 1999 }