Almost Condensed Domains

作者：Khalid Waseem^*; Rehman Shafiq Ur

来源：Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2013, 21(1): 143-152.

• Condensed domain
• Half condensed domain
• Prufer v-multiplication domain

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 not equal z is an element of IJ with I, J ideals of D, there exist I', J' ideals of D such that I' subset of I-w, J' subset of J(w) and zD = (I' J')(w).

• 出版日期2013