Morita equivalences of functor categories and decompositions of functors defined on a category associated to algebras with one-side units

• Autorzy: Słomińska, J.
• Języki publikacji: EN

Abstrakty

EN

Conditions which imply Morita equivalences of functor categories are described. As an application a Dold-Kan type theorem for functors defined on a category associated to associative algebras with one-side units is proved.

Słowa kluczowe

EN

functor categories; Morita equivalences; algebras with one-side unit

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2011
• Tom: Vol. 59, no 1
• Strony: 33-40
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Słomińska, J.

• Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Plac Politechniki 1, 00-661 Warszawa, Poland,

Bibliografia

• [1] A. Bold und D. Puppe, Homologie nicht-additiver Punktoren. Anwendungen, Ann. Inst. Fourier (Grenoble) 11 (1961), 201-312.
• [2] D. M. Kan, Adjoint functors, Trans. Amer. Math. Soc. 87 (1958), 294-329.
• [3] D. M. Kan, Functors involving c.s.s. complexes, Trans. Amer. Math. Soc. 87 (1958), 330-346.
• [4] J.-L. Loday, Cyclic Homology, Grundlehren Math. Wiss. 301, Springer, 1998.
• [5] T. Pirashvili, Dold-Kan type theorem for Γ-groups, Math. Ann. 318 (2000), 277-298.
• [6] T. Pirashvili, Hodge decompositions for higher order Hochschild homology, Ann. Sci. Ecole Norm. Sup. 33 (2000), 151-179.
• [7] J. Słomińska, Dold-Kan type theorems and Morita equivalences of functor categories, J. Algebra 274 (2004), 118-137.