Left Distributive Groupoids, Large Cardinals, and Laver Tables

• Autorzy: Nemec P.
• Języki publikacji: EN

Słowa kluczowe

EN

laver tables; large cardinals; distribution

PL

stoły laver; kardynał duży; dystrybucja

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2000/2001
• Tom: Vol. 8
• Strony: 51--56
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Nemec P.

• J .E.Purkynĕ University Ćeské mladeže 8 40096 Ustí nad Labem, Czech Republic

Bibliografia

• [1] C. Burstin,W. Mayer, Distributive Gruppen von endlicher Ordnung, J. reine und angew. Math. 160 (1929), 111-130.
• [2] P. Dehornoy, Sur la structure des gerbes libres, C. R. Acad. Sci. Paris 309 (1989), 143-148.
• [3] P. Dehornoy, From large cardinals to braids via distributive algebra, J. Knot Theory and Ramifications 4 (1995), 33-79.
• [4] P. Dehornoy, Braids and self distributivity, Universite de Caen, Caen 1999.
• [5] R. Dougherty, Critical points in an algebra of elementary embeddings II, In: Logic: From Foundations to Applications (W. Hughes, ed.), Oxford 1996, 103-136.
• [6] J. Jeźek, T. Kepka, Self distributive groupoids. Part Dl: Left distributive semigroups, Universite de Caen, Caen 1999.
• [7] J. Jeżek, T. Kepka, P. Nemec, Distributive groupoids, Rozpravy ČSAV, Rada MPV 91, Academia, Praha 1983.
• [8] T. Kepka, Notes on left distributive groupoids, Acta Univ. Carolinae Math. Phys. 22,2 (1981), 23-37.
• [9] T. Kepka, P. Nemec, Selfdistributive groupoids. Part Al: Non-idempotent left distributive groupoids, Universite de Caen, Caen 1999.
• [10] R. Laver, The left distributive law and the freeness of an algebra of elementary embeddings, Advances in Math. 91 (1992), 209-231.
• [11] R. Laver, On the algebra of elementary embeddings of a rank into itself, Advances in Math. 110 (1995), 334-346.
• [12] R. Lavr, Braid group actions on left distributive structures and wellorderings in the braid group, J. Pure Appl. Algebra 108 (1996), 81-98.
• [13] C. S. Peirce, On the algebra oj logic, Amer. Journal of Math. III (1880), 15-57.
• [14] J.Ruedin, Sur une décomposition des groupoi’des distributifs, C. R. Acad. Sci. Paris 262 (1966), A985-A988.
• [15] E. Schróder, Über Algorithmen und Calculi, Arch. der Math. Und Phys., 2nd series, vol. 5 (1887), 225-278.
• [16] M.Takasaki, Abstractionsofj symmetric junctions, Tôhoku Math. J. 49 (1943), 143-207.