Almost Condensed Domains

Waseem Khalid; Shafiq Ur Rehman

doi:10.2478/auom-2013-0008

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Almost Condensed Domains

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 1 (March 2013)

By: Waseem Khalid and Shafiq Ur Rehman

Open Access

|Jul 2013

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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