Direct sum decompositions of projective and injective modules into virtually uniserial modules
DOI10.1007/s13398-022-01287-5OpenAlexW4283818200WikidataQ114219804 ScholiaQ114219804MaRDI QIDQ2081192
M. Qourchi Nejadi, Ali Moradzadeh-Dehkordi, Mahmood Behboodi
Publication date: 12 October 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-022-01287-5
Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Foundations of commutative rings and their modules
- Commutative rings whose finitely embedded modules have injective dimension \(\approx\) 1
- The minimal prime spectrum of a reduced ring
- Serial rings and finitely presented modules
- Several generalizations of the Wedderburn-Artin theorem with applications
- Semi-chained rings and modules
- Virtually uniserial modules and rings
- Artinian dimension and isoradical of modules
- On indecomposable injectives over artinian rings
- Left principal ideal rings
- Exchange rings and decompositions of modules
- Projective and free modules
- Principal Right Ideal Rings
- Rings whose Indecomposable Injective Modules are Uniserial
- Two Examples of Local Artinian Rings
- Artinian right serial rings
- Virtually semisimple modules and a generalization of the Wedderburn-Artin theorem
- Virtually homo-uniserial modules and rings
- Elementary Divisors and Modules
- Modules with chain conditions up to isomorphism
This page was built for publication: Direct sum decompositions of projective and injective modules into virtually uniserial modules
