[图书][B] Purity, spectra and localisation
M Prest - 2009 - books.google.com
The central aim of this book is to understand modules and the categories they form through
associated structures and dimensions, which reflect the complexity of these, and similar …
associated structures and dimensions, which reflect the complexity of these, and similar …
The phantom cover of a module
I Herzog - Advances in Mathematics, 2007 - Elsevier
A morphism f: M→ N of left R-modules is a phantom morphism if for any morphism g: A→ M,
with A finitely presented, the composition fg factors through a projective module …
with A finitely presented, the composition fg factors through a projective module …
The cotorsion dimension of modules and rings
L Mao, N Ding - Abelian groups, rings, modules, and homological …, 2016 - taylorfrancis.com
Chapter 19 The Cotorsion Dimension of Modules and Rings Lixin Mao Department of Basic
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …
Duality pairs, phantom maps, and definability in triangulated categories
I Bird, J Williamson - arXiv preprint arXiv:2202.08113, 2022 - arxiv.org
We define duality triples and duality pairs in compactly generated triangulated categories
and investigate their properties. This enables us to give an elementary way to determine …
and investigate their properties. This enables us to give an elementary way to determine …
On superstability in the class of flat modules and perfect rings
M Mazari-Armida - Proceedings of the American Mathematical Society, 2021 - ams.org
On superstability in the class of flat modules and perfect rings Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 149, Number 6, June 2021, Pages …
THE AMERICAN MATHEMATICAL SOCIETY Volume 149, Number 6, June 2021, Pages …
Some stable non-elementary classes of modules
M Mazari-Armida - The Journal of Symbolic Logic, 2023 - cambridge.org
Fisher [10] and Baur [6] showed independently in the seventies that if T is a complete first-
order theory extending the theory of modules, then the class of models of T with pure …
order theory extending the theory of modules, then the class of models of T with pure …
On max-flat and max-cotorsion modules
Y Alagöz, E Büyükaşık - Applicable Algebra in Engineering …, 2021 - Springer
In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …
and neat exact sequences of modules and module homomorphisms. A right module A is …
Characterizing categoricity in several classes of modules
M Mazari-Armida - Journal of Algebra, 2023 - Elsevier
We show that the condition of being categorical in a tail of cardinals can be characterized
algebraically for several classes of modules. Theorem 0.1 Assume R is an associative ring …
algebraically for several classes of modules. Theorem 0.1 Assume R is an associative ring …
Purity and ascent for Gorenstein flat cotorsion modules
I Bird - arXiv preprint arXiv:2108.08135, 2021 - arxiv.org
The extension of scalars functor along a finite ring homomorphism is a classic example of a
functor which preserves purity and pure injectivity. We consider how this functor behaves …
functor which preserves purity and pure injectivity. We consider how this functor behaves …
Relative Homological Algebra for the Proper Class ω f
G Garkusha - Communications in Algebra, 2004 - Taylor & Francis
Homological algebra based on fp-injective and fp-flat modules is studied. It can be realized
as relative homological algebra corresponding to the proper class of monomorphisms Also …
as relative homological algebra corresponding to the proper class of monomorphisms Also …