Almost Condensed Domains

Khalid, Waseem; Ur Rehman, Shafiq

doi:10.2478/auom-2013-0008

Abstract

As an extension of the class of half condensed domains introduced by D.D. Anderson and Dumitrescu, we introduce and study the class of almost condensed domains. An integral domain D is almost condensed if whenever 0≠ z ∈ IJ with I; J ideals of D, there exist I′ ; J′ ideals of D such that I′ ⊆ I_w, J′ ⊆ J_wand zD = (I′ J′ )_w.

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Almost Condensed Domains

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