Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Morita theorems for functor categories

Author: D. C. Newell
Journal: Trans. Amer. Math. Soc. 168 (1972), 423-433
MSC: Primary 18A25
MathSciNet review: 0294442
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We generalize the Morita theorems to certain functor categories using properties of adjoint functors.

References [Enhancements On Off] (What's this?)

  • [1] H. Bass, Algebraic $ K$-theory, Benjamin, New York, 1968. MR 40 #2736. MR 0249491 (40:2736)
  • [2] -, The Morita theorems, Mimeographed Notes, University of Oregon, Eugene, Oregon.
  • [3] J. L. Fisher, The tensor product of functors; satellites; and derived functors, J. Algebra 8 (1968), 277-294. MR 38 #5874. MR 0237593 (38:5874)
  • [4] J. F. Palmquist and D. C. Newell, Bifunctors and adjoint pairs, Trans. Amer. Math. Soc. 155 (1971), 293-303. MR 0274553 (43:316)
  • [5] S. Mac Lane, Categorical algebra, Bull. Amer. Math. Soc. 71 (1965), 40-106. MR 30 #2053. MR 0171826 (30:2053)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 18A25

Retrieve articles in all journals with MSC: 18A25

Additional Information

Keywords: Functor categories, equivalence of categories, adjoint functors, bifunctors, small projectives, generators, Morita context
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society