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