Relative derived equivalences and relative homological dimensions

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Relative Homological Categories

We introduce relative homological and weakly homological categories (C,E), where “relative” refers to a distinguished class E of normal epimorphisms in C. It is a generalization of homological categories, but also protomodular categories can be regarded as examples. We indicate that the relative versions of various homological lemmas can be proved in a relative homological category.

متن کامل

Relative Homological Algebra via Truncations

To do homological algebra with unbounded chain complexes one needs to first find a way of constructing resolutions. Spaltenstein solved this problem for chain complexes of R-modules by truncating further and further to the left, resolving the pieces, and gluing back the partial resolutions. Our aim is to give a homotopy theoretical interpretation of this procedure, which may be extended to a re...

متن کامل

Quillen Model Structures for Relative Homological Algebra

An important example of a model category is the category of unbounded chain complexes of R-modules, which has as its homotopy category the derived category of the ring R. This example shows that traditional homological algebra is encompassed by Quillen’s homotopical algebra. The goal of this paper is to show that more general forms of homological algebra also fit into Quillen’s framework. Speci...

متن کامل

Effective Dimensions and Relative Frequencies

Consider the problem of calculating the fractal dimension of a set X consisting of all infinite sequences S over a finite alphabet Σ that satisfy some given condition P on the asymptotic frequencies with which various symbols from Σ appear in S. Solutions to this problem are known in cases where (i) the fractal dimension is classical (Hausdorff or packing dimension), or (ii) the fractal dimensi...

متن کامل

Additivity and Relative Kodaira Dimensions

The notion of Kodaira dimension has been defined for complex manifolds in [16], for symplectic 4−manifolds in [23] (see also [35], [17]). It is shown in [5] (and [23]) that these two definitions are compatible in dimension 4. Furthermore, we calculate it for some (4-dimensional) Lefschetz fibrations when the base has positive genus. In [50], this notion is extended to 3−dimensional manifolds vi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Acta Mathematica Sinica, English Series

سال: 2016

ISSN: 1439-8516,1439-7617

DOI: 10.1007/s10114-016-3530-y