<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

{"article-title":"Almost Condensed Domains"}

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

Published Online: Jul 30, 2013

Page range: 143 - 152

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

This content is open access.