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 On Strongly Quasi Primary Ideals Bull. Korean Math. Soc.Published online 2019 May 16 SUAT KOC, UNSAL TEKIR, and GULSEN ULUCAK Marmara University, Gebze Technical University Abstract : In this paper, we introduce strongly quasi primary ideals which is an intermediate classes of primary ideals and quasi primary ideals. Let $R\$be a commutative ring with nonzero identity and $Q\$a proper ideal of $R.\$Then $Q\$is called strongly quasi primary if $ab\in Q\$for $a,b\in R\$implies either $a\in Q\$or $b^{n}\in Q\ (a^{n}\in Q\$or $b\in Q)\$for some $n\in% %TCIMACRO{\U{2115} }% %BeginExpansion \mathbb{N} %EndExpansion .\$ We give many properties of strongly quasi primary ideals and investigate the relations between strongly quasi primary ideals and other classical ideals such as primary, 2-prime and quasi primary ideals. Among other results, we give a characterization of divided rings in terms of strongly quasi primary ideals. In section 3, we construct a subgraph of ideal based zero divisor graph $\Gamma_{I}(R)$ and denote by $\Gamma_{I}^{\ast}(R),\$where $I\$is an ideal of $R.\$We investigate the relations between $\Gamma_{I}^{\ast}%(R)\$and $\Gamma_{I}(R)$. We give a characterization of von Neumann regular rings in terms of strongly quasi primary ideals and $\Gamma_{I}^{\ast}(R).$ Keywords : valuation domain; divided ring; strongly quasi primary ideal; zero divisor graph; ideal based zero divisor graph MSC numbers : 13F30, 13A15, 05C25. Full-Text :