NON-ADDITIVE FUNCTORS, THEIR DERIVED FUNCTORS, AND THE SUSPENSION HOMOMORPHISM

Non-additive Functors, Their Derived Functors, and the Suspension Homomorphism.

3E. L. Post, J. Symb. Logic, 12, 1-11, 1947. 4In the sense of Post, the word problem for Z is reducible to that for sp (2:). 5 W. Magnus, Math. Annalen, 106, 295-307, 1932. 6 DanaScott, abstract, J. Symb. Logic, 21, 111-112, 1956. 7Marshall Hall, J. Symb. Logic, 14, 115-118, 1949. 8 G. Higman, B. H. Neumann, and H. Neumann, J. London Math. Soc., 24, 247-254, 1949. 9 As defined, UG, Part I, p. 2...

Derived Functors

Composite Cotriples and Derived Functors

The main result of [Barr (1967)] is that the cohomology of an algebra with respect to the free associate algebra cotriple can be described by the resolution given by U. Shukla in [Shukla (1961)]. That looks like a composite resolution; first an algebra is resolved by means of free modules (over the ground ring) and then this resolution is given the structure of a DG-algebra and resolved by the ...

Intrinsic Characterizations of Some Additive Functors

Our purpose here is to obtain intrinsic functorial characterizations of the functors Horn and ® and thus to account in part for the distinguished role played by then in homological algebra. In all that follows, A, r are rings with unit, Z the ring of integers. The category of all T-A-bimodules with F operating on the left, A on the right, is denoted by tSIZa, the category of left A-modules (T-m...

Scalar Extensions of Derived Categories and Non-fourier-mukai Functors

Orlov’s famous representability theorem asserts that any fully faithful exact functor between the bounded derived categories of coherent sheaves on smooth projective varieties is a Fourier-Mukai functor. This result has been extended by Lunts and Orlov to include functors from perfect complexes to quasi-coherent complexes. In this paper we show that the latter extension is false without the ful...