Note on Colon-Multiplication Domains
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-08
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
Let R be an integral domain with quotient field L.
Call a nonzero (fractional) ideal A of R a colon-multiplication ideal any ideal A, such that B(A:B)=A for every nonzero (fractional) ideal B of R.
In this note, we characterize integral domains for which every maximal ideal (resp., every nonzero ideal) is a colon-multiplication ideal.
It turns that this notion unifies Dedekind and MTP domains.
American Psychological Association (APA)
Mimouni, A.. 2010. Note on Colon-Multiplication Domains. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-4.
https://search.emarefa.net/detail/BIM-455773
Modern Language Association (MLA)
Mimouni, A.. Note on Colon-Multiplication Domains. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-4.
https://search.emarefa.net/detail/BIM-455773
American Medical Association (AMA)
Mimouni, A.. Note on Colon-Multiplication Domains. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-4.
https://search.emarefa.net/detail/BIM-455773
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455773
