ROTA-BAXTER CATEGORIES

Volume: 5 Number: 5 June 1, 2009
  • Edmundo Castillo
  • Rafael Diaz
EN

ROTA-BAXTER CATEGORIES

Abstract

We introduce Rota-Baxter categories and construct examples of such structures.

Keywords

References

  1. M. Aguiar and W. Moreira, Combinatorics of the free Baxter algebra, Electron. J. Combin., 13 (2006), R17.
  2. J. Baez and J. Dolan, From finite set to Feynman diagrams, in Bj¨orn En- gquist and Wilfried Schmid (Eds.), Mathematics Unlimited - 2001 and Beyond, Springer, Berlin, 2001, pp. 29-50.
  3. J. Baez and J. Dolan, Categorification, in E. Getzler, M. Kapranov (Eds.), Higher category theory, Evanston, IL, 1997, Contemp. Math., vol. 230, Amer.
  4. Math. Soc., Providence, RI, 1998, pp. 1-36.
  5. F. Bergeron, G. Labelle and P. Leroux, Combinatorial species and tree-like structures, Cambridge Univ. Press, Cambridge, 1998.
  6. H. Bland´ın and R. D´ıaz, Compositional Bernoulli numbers, Afr. Diaspora J. Math, at press. H. Bland´ın and R. D´ıaz, On the combinatorics of hypergeometric functions, Adv. Stud. Contemp. Math, 14 (2007), 153-160.
  7. H. Bland´ın and R. D´ıaz, Rational combinatorics, Adv. in Appl. Math., 40 (2008), 107-126.
  8. E. Castillo and R. D´ıaz, Categorical renormalization, in preparation. P. Cartier, On the structure of Baxter algebras, Adv. in Math., 9 (1972), 253

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Edmundo Castillo This is me

Rafael Diaz This is me

Publication Date

June 1, 2009

Submission Date

June 1, 2009

Acceptance Date

-

Published in Issue

Year 2009 Volume: 5 Number: 5

APA
Castillo, E., & Diaz, R. (2009). ROTA-BAXTER CATEGORIES. International Electronic Journal of Algebra, 5(5), 27-57. https://izlik.org/JA97SS92SM
AMA
1.Castillo E, Diaz R. ROTA-BAXTER CATEGORIES. IEJA. 2009;5(5):27-57. https://izlik.org/JA97SS92SM
Chicago
Castillo, Edmundo, and Rafael Diaz. 2009. “ROTA-BAXTER CATEGORIES”. International Electronic Journal of Algebra 5 (5): 27-57. https://izlik.org/JA97SS92SM.
EndNote
Castillo E, Diaz R (June 1, 2009) ROTA-BAXTER CATEGORIES. International Electronic Journal of Algebra 5 5 27–57.
IEEE
[1]E. Castillo and R. Diaz, “ROTA-BAXTER CATEGORIES”, IEJA, vol. 5, no. 5, pp. 27–57, June 2009, [Online]. Available: https://izlik.org/JA97SS92SM
ISNAD
Castillo, Edmundo - Diaz, Rafael. “ROTA-BAXTER CATEGORIES”. International Electronic Journal of Algebra 5/5 (June 1, 2009): 27-57. https://izlik.org/JA97SS92SM.
JAMA
1.Castillo E, Diaz R. ROTA-BAXTER CATEGORIES. IEJA. 2009;5:27–57.
MLA
Castillo, Edmundo, and Rafael Diaz. “ROTA-BAXTER CATEGORIES”. International Electronic Journal of Algebra, vol. 5, no. 5, June 2009, pp. 27-57, https://izlik.org/JA97SS92SM.
Vancouver
1.Edmundo Castillo, Rafael Diaz. ROTA-BAXTER CATEGORIES. IEJA [Internet]. 2009 Jun. 1;5(5):27-5. Available from: https://izlik.org/JA97SS92SM