An Introduction to Homological Algebra Rotman An Introduction to Homological Algebra by Weibel Methods of Homological Algebra by SergeiI. Gelfand, Yuri Manin 我首先要说一句,上面的五本书,前两本书我仅仅是翻过,没有认真拜读过,因此对它们的评价可能会有失偏颇,尽管这些评价是来自其他书籍作者只言片语的...
The main purpose of this article is to explain homological technique in commutative algebra by studying the notion of depth by means of Ext and by applying it to a problem of linear equations, namely the Buchsbaum-Eisenbud criterion of exactness of finite free complexes. Our second purpose is ...
Applications of homological methods in commutative algebra : inaugural dissertation G Sjdin 被引量: 0发表: 1976年 A course in homological algebra Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number ...
Springer Monographs in Mathematics(共47册), 这套丛书还有 《Arithmetic of Quadratic Forms》《On Thom Spectra, Orientability, and Cobordism》《Variational Analysis and Applications》《Fine Structures of Hyperbolic Diffeomorphisms》《Cellular Automata and Groups》 等。
When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occu...
Homological Algebra has grown in the nearly three decades since the rst e- tion of this book appeared in 1979. Two books discussing more recent results are Weibel, An Introduction to Homological Algebra, 1994, and Gelfand– Manin, Methods of Homological Algebra, 2003. In their Foreword, Gelfan...
The factor ofiinside thelogterm is necessary in order to match the energy scaleΛwith the one appearing in (3.68]. Γcan depend on the point we take as solution to (3.9), but we will not encounter this situation in this work, hence we ignore it. ...
The last part of the book covers less traditional topics that are a vital part of the modern homological toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological...
When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had ...
Methods from homological algebra (16) play a more and more important role in the study of multidimensional linear systems (15, 14, 5). The use of modules allows an algebraic treatment of linear systems which is independent of their prese... M Barakat,D Robertz - International Symposium on ...