• Journal of the Korean Mathematical Society
• /
• v.52 no.3
• /
• pp.649-661
• /
• 2015

Insertion-of-factors-property, which was introduced by Bell, has a role in the study of various sorts of zero-divisors in noncommutative rings. We in this note consider this property in the case that factors are restricted to maximal ideals. A ring is called IMIP when it satisfies such property. It is shown that the Dorroh extension of A by K is an IMIP ring if and only if A is an IFP ring without identity, where A is a nil algebra over a field K. The structure of an IMIP ring is studied in relation to various kinds of rings which have roles in noncommutative ring theory.

• Journal of the Korean Mathematical Society
• /
• v.55 no.5
• /
• pp.1177-1178
• /
• 2018