IJPAM: Volume 99, No. 1 (2015)
Department of Mathematics
Payame Noor University
P.O. Box: 19395-3697, Tehran, IRAN
Abstract. Let be a commutative ring with identity. -absorbing ideals have been studied by A. Badawi. A proper ideal of is -absorbing if with implies or or . Let be a function where is the set of ideals of . We call a proper ideal of a -2-absorbing ideal if with implies or or . So taking (resp., ), a --absorbing ideal (resp., --absorbing ideal, - -absorbing ideal) is a -absorbing ideal (resp., weakly -absorbing ideal, almost -absorbing ideal). We show that --absorbing ideals enjoy analogs of many of the properties of -absorbing ideals.
Received: February 22, 2014
AMS Subject Classification: 13A15
Key Words and Phrases: almost -absorbing ideal, -absorbing ideal, --absorbing ideal, weakly -absorbing ideal
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DOI: 10.12732/ijpam.v99i1.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 1 -
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