Some Results on Delta-Primary Submodules of Modules

YEŞİLOT, Gürsel; ŞENGELEN SEVİM, Esra; ULUCAK, Gülşen; ASLANKARAYİĞİT UĞURLU, Emel

Some Results on Delta-Primary Submodules of Modules

Gürsel YEŞİLOT ¹

, Esra ŞENGELEN SEVİM ² , Gülşen ULUCAK ³

, Emel ASLANKARAYİĞİT UĞURLU ⁴

¹Yıldız Technical University, Department of Mathematics, Esenler, ISTANBUL
²Istanbul Bilgi University, Department of Mathematics, Dolapdere, ISTANBUL
³Gebze Technical University, Department of Mathematics, KOCAELI
⁴Marmara University, Department of Mathematics, Goztepe, ISTANBUL

Sigma J Eng Nat Sci 2018; 36(2): 459-464

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Abstract

In this paper we investigate 𝛿-primary submodules which unify prime submodules and primary submodules. Our motivation is to extend the concept of 𝛿-primary ideals into 𝛿-primary submodules of modules over commutative rings. A number of main results about prime and primary submodules are extended into this general framework.

Keywords: Expansion of submodules -primary submodules, multiplication modules.