Finitely Presentable Algebras For Finitary Monads

J. Adamek, S. Milius, L. Sousa and T. Wissmann

For finitary regular monads T on locally finitely presentable categories we characterize the finitely presentable objects in the category of T-algebras in the style known from general algebra: they are precisely the algebras presentable by finitely many generators and finitely many relations.

Keywords: Finitely presentable object, finitely generated object, finitary functor, regular monad

2010 MSC: 18C35, 18C20, 08C05

Theory and Applications of Categories, Vol. 34, 2019, No. 37, pp 1179-1195.

Published 2019-11-09.

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