Sublattices of the lattice of pre-natural classes of modules
DOI10.1006/JABR.2000.8360zbMath0964.16003OpenAlexW2041982527MaRDI QIDQ1584609
Publication date: 2 July 2001
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.2000.8360
direct sumscontravariant functorsessential extensionsright V-ringsnatural classescomplete sublatticespre-natural classescomplete Boolean latticeshereditary pre-torsion classeshereditary torsion classeslattices of module classesright QI-rings
Module categories in associative algebras (16D90) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Complete lattices, completions (06B23) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80) Ring-theoretic properties of Boolean algebras (06E20)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rings whose kernel functors are linearly ordered
- Decomposing modules into direct sums of submodules with types
- The lattice of pre-natural classes of modules
- Module types
- Strongly semiprime rings
- THE LATTICE STRUCTURE OF HEREDITARY PRETORSION CLASSES
- Relative chain conditions and module classes
- When is Every Kernel Functor Idempotent?
- Conditions under which all preradical classes are perfect hereditary torsion classes
- Lattices of classes of modules
- Module categories with linearly ordered closed subcategories
- On Direct Sums of Injective Modules and Chain Conditions
- On the idempotence and stability of kernel functors
- Infective Envelopes and Inverse Polynomials
- A description of closed subcategories of σ[M]
- The lattice of natural classes of modules
This page was built for publication: Sublattices of the lattice of pre-natural classes of modules