ON MULTIPLICATION MODULES
By Shahabaddin Ebrahimi Atani, S. Khojasteh, G. Ghaleh. 2006
469 citations recorded by the source corpus.
Let R be a commutative ring with non-zero identity. This paper is devoted to study some of properties of multiplication modules. A number results concerning multiplication modules are given.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/b3f58131cf37c933f5a5f35596469265b3c5410f
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In Algebra and Number Theory
- Majid M. Ali
- Shahabaddin Ebrahimi Atani
- F. Farzalipour
- F. Soheilnia
- Ahmad Yousefian Darani
- H. Ansari-Toroghy
- Faranak Farshadifar
In Geometry and Topology
- Majid M. Ali
- Shahabaddin Ebrahimi Atani
- F. Farzalipour
- F. Soheilnia
- Ahmad Yousefian Darani
- H. Ansari-Toroghy
- Faranak Farshadifar
Citations in the corpus
- Idempotent and Nilpotent Submodules of Multiplication Modules (2008, background): “If M is a multiplication module, then for all submodules K and N of M , K M N = K M N M M = N M K. Multiplication modules have recently received considerable attention, see for example Ali and Smith (2004a), El-Bast and Smith (1988), Smith (1988), and Tuganbaev (2004).”
- On weakly prime submodules (2007, background): “Then, the radical of N denoted by √ N is defined in [3] to be the intersection of all prime submodules of M containing N .”