Ernie Manes wrote one of the well-known books on algebraic theories. He was a long term collaborator of Michael Arbib.

On algebraic theories (such as via monads and along the lines introducing their formulation as “extension systems”):

- Ernest G. Manes,
*Algebraic Theories*, Springer (1976) [doi:10.1007/978-1-4612-9860-1]

On monads in universal algebra and (co-)homology-theory:

- H. Applegate, M. Barr, J. Beck, F. W. Lawvere, F. E. J. Linton, E. Manes, M. Tierney, F. Ulmer:
*Seminar on Triples and Categorical Homology Theory*, ETH 1966/67, edited by Beno Eckmann and Myles Tierney,**LNM 80**, Springer (1969), reprinted as: Reprints in Theory and Applications of Categories**18**(2008) 1-303 [TAC:18, pdf]

On some aspects of algebras over a monad:

- Ernest Manes,
*A triple miscellany: Some aspects of the theory of algebra over a triple*, PhD thesis, Wesleyan University, 1967. [pdf]

On compact algebras:

- Ernest Manes,
*A triple theoretic construction of compact algebras*, Lecture Notes in Mathematics**80**, 1969. [doi:10.1007/BFb0083083]

On distributive laws for monads:

- Ernie Manes, Philip Mulry:
*Monad compositions I: general constructions and recursive distributive laws*, Theory and Applications of Categories**18**7 (2007) 172-208 [tac:18-07, pdf]

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Last revised on July 24, 2024 at 14:01:21. See the history of this page for a list of all contributions to it.