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We in this note consider a generalized ring theoretic property of quasi-commutative rings in relation with powers. We will use the terminology of {\it weakly left quasi-commutative} for the class of rings satisfying such property. The properties and examples are basically investigated in the procedure of studying idempotents and nilpotent elements.
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참고문헌 (8)
참고문헌 신청
S. A. Amitsur / 1956 / Radicals of polynomial rings / Canad. J. Math 8:355~361
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
G. F. Birkenmeier / 1993 / Completely prime ideals and associated radicals / Proc. Biennial Ohio State-Denison Conference 1992 :102~129
V. Camillo / 2010 / Nilpotent ideals in polynomial and power series rings / Proc. Amer. Math. Soc 138(5):1607~1619
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167(1):37~52
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
G. F. Birkenmeier / 1993 / Completely prime ideals and associated radicals / Proc. Biennial Ohio State-Denison Conference 1992 :102~129
V. Camillo / 2010 / Nilpotent ideals in polynomial and power series rings / Proc. Amer. Math. Soc 138(5):1607~1619
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167(1):37~52
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