We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the same module, we consider their underlying chain complexes. We show they may be stabilized by projective modules to obtain a pair of complexes of the same homotopy typ
This thesis is a two pronged affair. Part one is a study of finitely presented modules using the tec...
AbstractA contraction for a cosimplicial resolution X−1→X• is an “extra codegeneracy map”, and the e...
The purpose of this article is to check the main results of the method that allows the construction ...
To do homological algebra with unbounded chain complexes one needs to first find a way of constructi...
We extend recent results in order to construct projective resolutions for modules over twisted tenso...
In Chapter 1, projective resolutions of modules over a ring R are constructed starting from appropri...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
AbstractThis paper explores various notions of projective, injective, and flat dimensions, arising f...
The aim of this paper is to prove that for any unbounded chain complex Y in the category Ch(R) of ch...
AbstractWe introduce the notion of balanced pair of additive subcategories in an abelian category. W...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
AbstractBy Rickard's work, two rings are derived equivalent if there is a tilting complex, construct...
This thesis is a two pronged affair. Part one is a study of finitely presented modules using the tec...
AbstractA contraction for a cosimplicial resolution X−1→X• is an “extra codegeneracy map”, and the e...
The purpose of this article is to check the main results of the method that allows the construction ...
To do homological algebra with unbounded chain complexes one needs to first find a way of constructi...
We extend recent results in order to construct projective resolutions for modules over twisted tenso...
In Chapter 1, projective resolutions of modules over a ring R are constructed starting from appropri...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
Homological techniques provide potent tools in commutative algebra. For example, successive approxim...
AbstractThis paper explores various notions of projective, injective, and flat dimensions, arising f...
The aim of this paper is to prove that for any unbounded chain complex Y in the category Ch(R) of ch...
AbstractWe introduce the notion of balanced pair of additive subcategories in an abelian category. W...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
Given an algebraic structure on the homology of a chain complex, we define its realization space as ...
AbstractBy Rickard's work, two rings are derived equivalent if there is a tilting complex, construct...
This thesis is a two pronged affair. Part one is a study of finitely presented modules using the tec...
AbstractA contraction for a cosimplicial resolution X−1→X• is an “extra codegeneracy map”, and the e...
The purpose of this article is to check the main results of the method that allows the construction ...