nLab Ernest Manes

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

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Selected writings

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]

category: people