Advanced search
Publication Cover
Communications in Algebra Volume 30, 2002 - Issue 10
Submit an article Journal homepage
271
Views
19
CrossRef citations to date
0
Altmetric
Original Articles

PRIME AND RADICAL SUBMODULES OF MODULES OVER COMMUTATIVE RINGS

Marion E. Moore Department of Mathematics, University of Texas at Arlington, Arlington, Texas, 76019-0408, U.S.A.
&
Sally J. Smith Department of Mathematics, University of Texas at Arlington, Arlington, Texas, 76019-0408, U.S.A.
Pages 5037-5064 | Received 01 Jun 2001, Published online: 19 Aug 2006

Citations (19)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (7)

D. Hassanzadeh-Lelekaami & H. Roshan-Shekalgourabi. (2014) Prime Submodules and a Sheaf on the Prime Spectra of Modules. Communications in Algebra 42:7, pages 3063-3077.
Read now
Reza Ebrahimi Atani & Shahabaddin Ebrahimi Atani. (2013) On Semiprime Multiplication Modules over Pullback Rings. Communications in Algebra 41:2, pages 776-791.
Read now
A. Abbasi & D. Hassanzadeh-Lelekaami. (2012) Modules and Spectral Spaces. Communications in Algebra 40:11, pages 4111-4129.
Read now
H. Ansari-Toroghy & R. Ovlyaee-Sarmazdeh. (2010) On the Prime Spectrum of X-Injective Modules. Communications in Algebra 38:7, pages 2606-2621.
Read now
A. R. Naghipour. (2009) Strongly Prime Submodules. Communications in Algebra 37:7, pages 2193-2199.
Read now
Ünsal Tekir. (2005) ON THE SHEAF OF MODULES. Communications in Algebra 33:8, pages 2557-2562.
Read now
Guoyin Zhang, Fanggui Wang & Wenting Tong. (2004) Multiplication Modules in Which Every Prime Submodule is Contained in a Unique Maximal Submodule. Communications in Algebra 32:5, pages 1945-1959.
Read now

Articles from other publishers (12)

Mehmet Özen, Osama A. Naji, Ünsal Tekir & Suat Koç. (2022) On Modules Satisfying S-Noetherian Spectrum Condition. Communications in Mathematics and Statistics 11:3, pages 649-662.
Crossref
Hosein MoghimiFazaeliFazaeli & Javad HarehdashtiBagheriBagheri. (2022) The Radical-Zariski topology on the radical spectrum of modules. Filomat 36:9, pages 3037-3050.
Crossref
Peyman Ghiasvand & Farkhondeh Farzalipour. (2022) Quasi semiprime multiplication modules over a pullback of a pair of Dedekind domains. Algebra and Discrete Mathematics 34:2, pages 223-243.
Crossref
Ashkan NİKSERESHT. (2020) Delta operation on modules, prime and radical submodules and primary decomposition. Hacettepe Journal of Mathematics and Statistics 49:4, pages 1303-1314.
Crossref
D. Hassanzadeh-lelekaami. (2020) On the Prime Spectrum of Torsion Modules. Iranian Journal of Mathematical Sciences and Informatics 15:1, pages 53-63.
Crossref
Farkhondeh Farzalipour. (2019) On 2-absorbing multiplication modules over pullback rings. Indian Journal of Pure and Applied Mathematics 50:4, pages 1021-1038.
Crossref
S. Ebrahimi Atani, S. Dolati Pish Hesari, M. Khoramdel & M. Sedghi Shanbeh Bazari. (2018) Pseudo-absorbing multiplication modules over a pullback ring. Journal of Pure and Applied Algebra 222:10, pages 3124-3136.
Crossref
Razieh Moradi & Mahdieh Ebrahimpour. (2016) On ϕ-2-Absorbing Primary Submodules. Acta Mathematica Vietnamica 42:1, pages 27-35.
Crossref
A. Abbasi & D. Hassanzadeh-lelekaami. (2012) Quasi-prime Submodules and Developed Zariski Topology. Algebra Colloquium 19:spec01, pages 1089-1108.
Crossref
Abdulrasool Azizi. (2010) Height of Prime and Weakly Prime Submodules. Mediterranean Journal of Mathematics 8:2, pages 257-269.
Crossref
NASER ZAMANI. (2009) φ-PRIME SUBMODULES. Glasgow Mathematical Journal 52:2, pages 253-259.
Crossref
Shahabaddin Ebrahimi Atani. (2008) Indecomposable weak multiplication modules over Dedekind domains. Demonstratio Mathematica 41:1.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.