Composing PROPs

Theory and Applications of Categories

Volumn 13, Issue 9, 2004, Pages 147-163

  Lack, Stephen ^a  

^a UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

Algebra; Bialgebra; Distributive law; Monad; PROP; Symmetric monoidal category

Indexed keywords

EID: 27844599587     PISSN: 1201561X     EISSN: 1201561X     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. J. Beck, Distributive laws, in: Seminar on Triples and Categorical Homology Theory, Lecture Notes Math. Vol. 80, Springer, Berlin, 1969, pp. 119-140.
2. J. Bénabou, Introduction to bicategories, in Reports of the Midwest Category Seminar, Lecture Notes Math. Vol. 47, Springer, Berlin, 1967, pp. 1-77.
3. A. Carboni, Matrices, relations, and group representations, J. Alg. 136:497-529, 1991.
4. B.J. Day and R.H. Street, Abstract substitution in enriched categories, J. Pure Appl. Alg. 179:49-63, 2003.
5. B.L. Feigin and B.L. Tsygan, Additive K-theory, in K-theory, Arithmetic, and Geometry, Lecture Notes Math. Vol. 1289, Springer, Berlin, 1987, pp. 97-209.
6. Stephen Lack and R. Street, The formal theory of monads II. J. Pure Appl. Alg. 175:243-265, 2002.
7. Jean-Louis Loday, Cyclic Homology. Grundlehren der Mathematischen Wissenschaften Vol. 301, Springer, Berlin 1992.
8. S. Mac Lane, Categorical algebra, Bull. Amer. Math. Soc. 71:40-106, 1965.
9. S. Mac Lane, Categories for the Working Mathematician, Graduate Texts in Mathematics Vol. 5, Springer, Berlin-New York, 1971.
10. S. Mac Lane and R. Paré, Coherence for bicategories and indexed categories, J. Pure Appl. Algebra 37:59-80, 1985.
11. Teimuraz Pirashvili, On the PROP corresponding to bialgebras, Cahiers Top. Géom. Diff. Cat. XLIII, 2002.
12. R. Rosebrugh and R.J. Wood, Distributive laws and factorization, J. Pure Appl. Alg. 175:327-353, 2002.
13. R.H. Street, The formal theory of monads, J. Pure Appl. Alg. 2:149-168, 2002