Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New YorN, USA MarNus J. Pflaum, University of Colorado …

RO Wells - degruyter.com
The subject of relative homological algebra was introduced by S. Eilenberg and JC Moore in
their 1965 AMS Memoir 'Foundations of Relative Homological Algebra'. We now have in …

[图书][B] Foundations of relative homological algebra

S Eilenberg, JC Moore - 1965 - ams.org
The notion of a derived functor for a functor T: Q—* fB (with suitable conditions imposed on
the categories (2 and S3 and on the functor 7") is one of the key notions of homological …

[图书][B] Derived functors in relative homological algebra

FS Brenneman - 1967 - search.proquest.com
The techniques and results of homological algebra are currently being used in many areas
of mathematics. In particular, the functors derived from a given functor are very useful in the …

[PDF][PDF] Derived functors.

RL Knighten - 1966 - dspace.mit.edu
Signature Redacted Page 1 \IST. OF TECH 0t DERIVED FUNCTORS by ROBERT LEE
KNIGHTEN SB, Massachusetts Institute of Technology (1962) SUBMITTED IN PARTIAL …

Relative homological algebra. Cohomology of categories, posets and coalgebras

AI Generalov - Handbook of Algebra, 1996 - Elsevier
The origins of relative homological algebra can be found in different branches of algebra but
mainly in the theory of abelian groups and in the representation theory of finite groups …

[图书][B] Homological and commutative Algebra

D Buchsbaum - 2011 - Springer
The purpose of these lectures is twofold. On the one hand, we shall study further the notion
of satellites of functors in order to understand more generally what is going on in …

Balanced pairs, cotorsion triplets and quiver representations

S Estrada, MA Perez, H Zhu - Proceedings of the Edinburgh …, 2020 - cambridge.org
Balanced pairs appear naturally in the realm of relative homological algebra associated with
the balance of right-derived functors of the Hom functor. Cotorsion triplets are a natural …

A lemma in homological algebra

GM Kelly - … Proceedings of the Cambridge Philosophical Society, 1965 - cambridge.org
In the development of homological algebra, one has to prove at some point that, in defining
the derived functors of⊗ and of Hom, it makes no difference whether we resolve both …

Relative homological algebra and abelian groups

CP Walker - Illinois Journal of Mathematics, 1966 - projecteuclid.org
Relative homological algebra hasrisen from two principal sources: Hochschild's study of
exact sequences of R-moduleswhich split as S-modules, where S is a subring of R [10], and …

Introduction Category Theory and Homological Algebra

B Mitchell - Categories and Commutative Algebra, 2011 - Springer
The purpose of these notes is to provide as rapid an introduction to category theory and
homological algebra as possible without overwhelming the reader entirely unfamiliar with …