ON QUASI-COMMUTATIVE RINGS

• Published in: Journal of the Korean Mathematical Society Vol. 53; no. 2; pp. 475 - 488
• Main Authors: Jung, Da Woon, Kim, Byung-Ok, Kim, Hong Kee, Lee, Yang, Nam, Sang Bok, Ryu, Sung Ju, Sung, Hyo Jin, Yun, Sang Jo
• Format: Journal Article
• Language: Korean
• Published: 2016
• Subjects: radical; quasi-commutative ring; central element; polynomial ring

We study the structure of central elements in relation with polynomial rings and introduce quasi-commutative as a generalization of commutative rings. The Jacobson radical of the polynomial ring over a quasi-commutative ring is shown to coincide with the set of all nilpotent polynomials; and locally...