شماره ركورد كنفرانس :
3503
عنوان مقاله :
On annihilators in skew extensions of rings
Author/Authors :
M. Zahiri Higher Education Center of Eghlid , R. Mohammadi Tarbiat Modares University
كليدواژه :
McCoy ring , strongly right AB ring , nil-reversible ring
سال انتشار :
شهريور 1395
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
زبان مدرك :
انگليسي
چكيده لاتين :
According to Jacobson, a right ideal is bounded if it contains a non-zero ideal, and called a ring is called strongly right bounded if every non-zero right ideal is bounded. A ring is strongly right AB if every non-zero right annihilator is bounded. In this paper, we introduce and investigate a particular class of McCoy rings which satisfy the conditions asked by Nielsen. We assume that R is an (α, δ)-compatible ring, and prove that, if R is reversible then the Ore extension R[x;α,δ] is strongly right AB. It is also shown that, every right duo ring with an automorphism α is skew McCoy.
كشور :
ايران
تعداد صفحه 2 :
6
از صفحه :
1
تا صفحه :
6
لينک به اين مدرک :
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