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Multiplication Modules

Published online by Cambridge University Press:  20 November 2018

Surjeet Singh  and
Fazal Mehdi
Surjeet Singh
Affiliation:
Department of Mathematics, Guru Nanak Dev University, Amrttsar-143005, India
Fazal Mehdi
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh
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All rings R considered here are commutative with identity and all the modules are unital right modules. As defined by Mehdi [6] a module M R is said to be a multiplication module if for every pair of submodules K and N of M, K ⊂ N implies K=NA for some ideal A of R. This concept generalizes the well known concept of a multiplication ring.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 1 , 01 March 1979 , pp. 93 - 98
Copyright
Copyright © Canadian Mathematical Society 1979

References

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