Zero Insertive Group Rings
Authors:
Article info
2007-06-04
2008-05-12
2008-05-12
181 - 192
Keywords
Abstract
The aim of this research is to find the necessary and sufficient conditions on a ring A and a group G for which the group ring A[G] to be a zero inserted ring (zi-ring), a zero commutative ring (zc-ring), and a duo- ring. In this paper, we found that the necessary conditions for A[G] to be zi-ring are that G must be Hamiltonian group and A is zi-ring whenever G is a periodic group. Also similar results for A[G] to be zc-ring and duo-ring are given.
Sbeih, A. (2008). Zero Insertive Group Rings. An-Najah University Journal for Research - A (Natural Sciences), 22(1), 181–192. https://doi.org/10.35552/anujr.a.22.1.534
[1]A. Sbeih, “Zero Insertive Group Rings,” An-Najah University Journal for Research - A (Natural Sciences), vol. 22, no. 1, pp. 181–192, May 2008, doi: 10.35552/anujr.a.22.1.534.
Sbeih, Amani. “Zero Insertive Group Rings.” An-Najah University Journal for Research - A (Natural Sciences), vol. 22, no. 1, May 2008, pp. 181–92. Crossref, https://doi.org/10.35552/anujr.a.22.1.534.
1.Sbeih A. Zero Insertive Group Rings. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2008 May;22(1):181–92. Available from: http://dx.doi.org/10.35552/anujr.a.22.1.534
Sbeih, Amani. “Zero Insertive Group Rings.” An-Najah University Journal for Research - A (Natural Sciences) 22, no. 1 (May 2008): 181–92. https://doi.org/10.35552/anujr.a.22.1.534.
حلقات الزمر صفرية الإدخال
المؤلفون:
معلومات المقال
2007-06-04
2008-05-12
2008-05-12
181 - 192
الكلمات الإفتتاحية
الملخص
يهدف البحث إلى ايجاد الشروط اللازمة والكافية على الحلقة A والزمرة G لكي تكون حلقة الزمر A[G]، zi - حلقة أو zc - حلقة أو duo - حلقة. وفي هذا البحث قد وجدنا أنه إذا كانت G زمرة دورية فإن الشرط اللازم لكي تكون A[G]، zi -حلقة هو أن تكون G هاملتونية وأن تكون A، zi - حلقة. ثم وجدنا شروطاً كافية لكي تكون A[G]، zi – حلقة.
Sbeih, A. (2008). Zero Insertive Group Rings. An-Najah University Journal for Research - A (Natural Sciences), 22(1), 181–192. https://doi.org/10.35552/anujr.a.22.1.534
[1]A. Sbeih, “Zero Insertive Group Rings,” An-Najah University Journal for Research - A (Natural Sciences), vol. 22, no. 1, pp. 181–192, May 2008, doi: 10.35552/anujr.a.22.1.534.
Sbeih, Amani. “Zero Insertive Group Rings.” An-Najah University Journal for Research - A (Natural Sciences), vol. 22, no. 1, May 2008, pp. 181–92. Crossref, https://doi.org/10.35552/anujr.a.22.1.534.
1.Sbeih A. Zero Insertive Group Rings. An-Najah University Journal for Research - A (Natural Sciences) [Internet]. 2008 May;22(1):181–92. Available from: http://dx.doi.org/10.35552/anujr.a.22.1.534
Sbeih, Amani. “Zero Insertive Group Rings.” An-Najah University Journal for Research - A (Natural Sciences) 22, no. 1 (May 2008): 181–92. https://doi.org/10.35552/anujr.a.22.1.534.
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