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- Title
ON A CLASS OF SEMICOMMUTATIVE RINGS.
- Authors
HARMANCI, ABDULLAH; KOSE, HANDAN
- Abstract
Let R be a ring with identity and an ideal I. In this paper, we introduce a class of rings generalizing semicommutative rings which is called I-semicommutative. The ring R is called I-semicommutative whenever ab = 0 implies aRb ⊆ I for any a, b ∈ R. We investigate general properties of I-semicommutative rings and show that several results of semicommutative rings and J-semicommutative rings can be extended to I-semicommutative rings for this general settings.
- Subjects
RING extensions (Algebra); COMMUTATIVE rings; INTEGERS; ASSOCIATIVE rings; IDEALS (Algebra); RING theory
- Publication
New Zealand Journal of Mathematics, 2017, Vol 47, p69
- ISSN
1171-6096
- Publication type
Article