• Kyungpook Mathematical Journal
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• v.58 no.3
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• pp.427-432
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• 2018

An example of a strongly central semicommutative ring which is not semicommutative is constructed. This answers a question of Bhattachafjee and Chakraborty negatively.

• Kyungpook Mathematical Journal
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• v.51 no.3
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• pp.283-291
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• 2011

In this paper, a generalization of the class of semicommutative rings is investigated. A ring R is called central semicommutative if for any a, b ${\in}$ R, ab = 0 implies arb is a central element of R for each r ${\in}$ R. We prove that some results on semicommutative rings can be extended to central semicommutative rings for this general settings.