<abstract xmlns="http://www.w3.org/1999/xhtml"> 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′ ⊆ Iw, J′ ⊆ Jw and zD = (I′ J′ )w.</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′ ⊆ Iw, J′ ⊆ Jw and zD = (I′ J′ )w.

Almost Condensed Domains

Department of Mathematics, Govt. College University, Faisalabad, Pakistan

Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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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...

Almost Condensed Domains

Publié en ligne: 30 juil. 2013

Pages: 143 - 152

DOI: https://doi.org/10.2478/auom-2013-0008

This content is open access.