A necessary and sufficient condition for a direct sum of modules to be distributive
From MaRDI portal
Publication:6198598
DOI10.1080/00927872.2023.2252516MaRDI QIDQ6198598
Siamak Yassemi, M. R. Pournaki, Edgar E. Enochs
Publication date: 23 February 2024
Published in: Communications in Algebra (Search for Journal in Brave)
orthogonalityDedekind domainPrüfer domainuniserial moduledistributive modulesplitting relative to the direct sum decomposition
Structure, classification theorems for modules and ideals in commutative rings (13C05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)
Cites Work
- Unnamed Item
- Unnamed Item
- Multiplication modules which are distributive
- Distributive extensions of modules
- Distributive modules
- Direct summands of serial modules
- Weak Krull-Schmidt for infinite direct sums of uniserial modules
- Criteria for a direct sum of modules to be a multiplication module over noncommutative rings
- Distributive Modules
- Modules Whose Lattice of Submodules is Distributive
- Finitely Generated Artinian and Distributive Modules are Cyclic
- Arithmetical rings
- Lattice Isomorphisms between Modules (1) Endomorphism Rings∗