[图书][B] Homological algebra

H Cartan, S Eilenberg - 1999 - books.google.com
… the tensor product of the homology groups of the two complexes, … formal properties usually
encountered in homology theory. … algebra A = AA* where A* is the "opposite" algebra of A. A …

[图书][B] Basic homological algebra

MS Osborne - 2012 - books.google.com
… Five years ago, I taught a one-quarter course in homological algebra. I discovered that there
… Chapter 8 focuses on a special property of Tor. These three groupings are independent, as …

[PDF][PDF] An introduction to homological algebra

C Weibel, MCR Butler - Bulletin of the London Mathematical Society, 1996 - academia.edu
… found by students needing homological algebra as a tool. … at homological algebra. This
book is an attempt to break down that barrier by providing an introduction to homological algebra

[图书][B] Homological algebra

SI Gelʹfand, YI Manin - 1994 - books.google.com
… A spectral sequence of abelian groups is a family of abelian groups E = (Ep9, En), p, q,re Z,
r≥ 1, and a family of homomorphisms with some properties that we will describe shortly. But …

Categorical, homological, and homotopical properties of algebraic objects

T Datuashvili - Journal of Mathematical Sciences, 2017 - Springer
… a category displaying interesting properties by themselves. In [6]… By using these results, we
investigate interesting properties of … Homological properties of nontrivial extensions of abelian …

[图书][B] Methods of homological algebra

SI Gelfand, YI Manin - 2013 - books.google.com
… of the homological algebra of this period was the computation and properties of various …
derived categories, and axiomatization of their properties leads to the notion of triangularted …

[图书][B] Homology theory: an introduction to algebraic topology

JW Vick - 2012 - books.google.com
… Since the homological properties of a space are completely determined by those of its path
… , and the homological properties of any path component are independent of the properties of …

Homological algebra and data

R Ghrist - Math. Data, 2018 - books.google.com
… homomorphisms induced on homology are an algebraic reflection of the properties of
continuous maps between spaces. The following are simple properties of induced homomorphisms…

Some homological properties of the category O

V Mazorchuk - Pacific Journal of Mathematics, 2007 - msp.org
… In Section 4 we study the extension algebra of standard modules in 0. This is an old open
problem, where really not that much is known. The only available conjecture about the …

[PDF][PDF] Differential homological algebra and homogeneous spaces

D Husemoller, JC Moore, J Stasheff - … of Pure and Applied Algebra, 1974 - core.ac.uk
Homological properties of a subtorus of il eompdct Lie group … A basic problem is tr3 calculate
the homology If *(G/W) over a … of differential graded homological algebra in order to prove …