INSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS

Title & Authors
INSERTION-OF-FACTORS-PROPERTY ON NILPOTENT ELEMENTS
Baek, Jin-Eon; Chin, Woo-Young; Choi, Ji-Woong; Eom, Tae-Hyun; Jeon, Young-Cheol; Lee, Yang;

Abstract
We generalize the insertion-of-factors-property by setting nilpotent products of elements. In the process we introduce the concept of a nil-IFP ring that is also a generalization of an NI ring. It is shown that if K$\small{\ddot{o}}$the`s conjecture holds, then every nil-IFP ring is NI. The class of minimal noncommutative nil-IFP rings is completely determined, up to isomorphism, where the minimal means having smallest cardinality.
Keywords
nilpotent element;IFP ring;nil-IFP ring;NI ring;polynomial ring;
Language
English
Cited by
1.
On linearly weak Armendariz rings, Journal of Pure and Applied Algebra, 2015, 219, 4, 1122
2.
Reflexive property restricted to nilpotents, Journal of Algebra and Its Applications, 2017, 16, 03, 1750044
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