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ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS

ON 2-ABSORBING PRIMARY IDEALS IN COMMUTATIVE RINGS

Let R be a commutative ring with <TEX>$1{\neq}0$</TEX>. In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever <TEX>$a,b,c{\in}R$</TEX> and <TEX>$abc{\in}I$</TEX>, then <TEX>$ab{\in}I$</TEX> or <TEX>$ac{\in}\sqrt{I}$</TEX> or …