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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 307 - 318 (12page)
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This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.
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참고문헌 (19)
참고문헌 신청
S. A. Amitsur / 1956 / Radicals of polynomial rings / Canad. J. Math 8:355~361
R. Antoine / 2008 / Nilpotent elements and Armendariz rings / J. Algebra 319:3128~3140
E. Armendariz / 1974 / A note on extensions of Bear and p. p. -rings / J. Austral. Math. Soc 18:470~473
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
V. Camillo / 2010 / Nilpotent ideals in polynomial and power series rings / Proc. Amer. Math. Soc 138:1607~1619
R. Antoine / 2008 / Nilpotent elements and Armendariz rings / J. Algebra 319:3128~3140
E. Armendariz / 1974 / A note on extensions of Bear and p. p. -rings / J. Austral. Math. Soc 18:470~473
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
V. Camillo / 2010 / Nilpotent ideals in polynomial and power series rings / Proc. Amer. Math. Soc 138:1607~1619
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