Geodesic
Lawvere intervals and the Möbius function of a Möbius category
Diskretnaya Matematika, Tome 24 (2012) no. 4, pp. 47-55
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E. D. Schwab. Lawvere intervals and the Möbius function of a Möbius category. Diskretnaya Matematika, Tome 24 (2012) no. 4, pp. 47-55. http://geodesic.mathdoc.fr/item/DM_2012_24_4_a3/

[1] Content M., Lemay F., Leroux P., “Catégories de Möbius et fonctorialités: un cadre général pour l'inversion de Möbius”, J. Comb. Theory. Ser. A, 28:2 (1980), 169–190 | DOI | MR | Zbl

[2] Lawvere F. W., Menni M., “The Hopf algebra of Möbius intervals”, Theory and Appl. of Categories, 24:10 (2010), 221–265 | MR | Zbl

[3] Leinster T., “The Euler characteristic of a category”, Doc. Math., 13 (2008), 21–49 | MR | Zbl

[4] Leroux P., “Les categories de Möbius”, Cahiers Topologie Geom. Differentielle, 16 (1975), 280–282

[5] Leroux P., “The isomorphism problem for incidence algebras of Möbius categories”, Ill. J. Math., 26 (1982), 52–61 | MR | Zbl

[6] Leroux P., “Reduced matrices and $q$-log-concavity properties of $q$-Stirling numbers”, J. Comb. Theory. Ser. A, 54 (1990), 64–84 | DOI | MR | Zbl

[7] Rota G.-C., “On the foundations of combinatorial theory. Theory of Möbius functions”, Z. Wahrscheinlichkeitstheorie, 2 (1964), 340–368 | DOI | MR | Zbl

[8] Schwab E. D., “Möbius categories as reduced standard division categories of combinatorial inverse monoids”, Semigroup Forum, 69 (2004), 30–40 | DOI | MR | Zbl

[9] Schwab E. D., “The Möbius category of some combinatorial inverse semigroups”, Semigroup Forum, 69 (2004), 41–50 | DOI | MR | Zbl

[10] Schwab E. D., “On incidence algebras of combinatorial inverse monoids”, Comm. Algebra, 38 (2010), 1779–1789 | DOI | MR | Zbl

[11] Stanley R. P., Enumerative combinatorics, v. I, Wadsworth Brooks, Monterey, Calif., 1986 | Zbl