[图书][B] Equivalence and duality for module categories with tilting and cotilting for rings
RR Colby, KR Fuller - 2004 - books.google.com
This book provides a unified approach to much of the theories of equivalence and duality
between categories of modules that has transpired over the last 45 years. In particular …
between categories of modules that has transpired over the last 45 years. In particular …
[HTML][HTML] 关于Gorenstein 投射维数的一个注记
赵志兵， 江戈 - 数学杂志, 2016 - sxzz.whu.edu.cn
本文研究了Gorenstein 投射维数的相关问题. 利用经典同调维数的研究方法, 给出了Gorenstein
投射维数有限模的Gorenstein 投射维数的一个刻画, 并利用这一结果证明了Gorenstein …
投射维数有限模的Gorenstein 投射维数的一个刻画, 并利用这一结果证明了Gorenstein …
[HTML][HTML] Derived dualities induced by a 1-cotilting bimodule
F Mantese, A Tonolo - Journal of Algebra, 2014 - Elsevier
In this paper we characterize the modules and the complexes involved in the dualities
induced by a 1-cotilting bimodule in terms of a linear compactness condition. Our result …
induced by a 1-cotilting bimodule in terms of a linear compactness condition. Our result …
with the evaluation maps &м: M→ phisms 8: 1CR→ A2 and 8: 1sc→ 42. Such a duality is known as a Morita duality induced by the bimodule SUR.
R Colpi, KR Fuller - Handbook of Tilting Theory, 2007 - books.google.com
Given a bimodule SUR, a module M is U-torsionless if it embeds in a direct product of copies
of U,(ie, belongs to Cogen (U)) or equivalently, if dм is a monomorphism. If 8M is an …
of U,(ie, belongs to Cogen (U)) or equivalently, if dм is a monomorphism. If 8M is an …