[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 …
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 …
… 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 …
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 …
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 …
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 …
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 …
… , 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…
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 …
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 …
the homology If *(G/W) over a … of differential graded homological algebra in order to prove …