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A Foundation for PROPs, Algebras, and Modules
About this Title
Donald Yau, The Ohio State University at Newark, Newark, OH and Mark W. Johnson, Pennsylvania State University Altoona, Altoona, PA
Publication: Mathematical Surveys and Monographs
Publication Year:
2015; Volume 203
ISBNs: 978-1-4704-2197-7 (print); 978-1-4704-2347-6 (online)
DOI: https://doi.org/10.1090/surv/203
MathSciNet review: MR3329226
MSC: Primary 18Dxx; Secondary 55U40
Table of Contents
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Front/Back Matter
Part 1. Wheeled graphs and pasting schemes
- Chapter 1. Wheeled graphs
- Chapter 2. Special sets of graphs
- Chapter 3. Basic operations on wheeled graphs
- Chapter 4. Graph groupoids
- Chapter 5. Graph substitution
- Chapter 6. Properties of graph substitution
- Chapter 7. Generators for graphs
- Chapter 8. Pasting schemes
- Chapter 9. Well-matched pasting schemes
Part 2. Generalized PROPs, algebras, and modules
- Chapter 10. Generalized PROPs
- Chapter 11. Biased characterizations of generalized PROPs
- Chapter 12. Functors of generalized PROPs
- Chapter 13. Algebras over generalized PROPs
- Chapter 14. Alternative descriptions of generalized PROPs
- Chapter 15. Modules over generalized PROPs
- Chapter 16. May modules over algebras over operads