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We observe the structure of a kind of unit-IFP ring that is constructed by Antoine, in relation with units and nilpotent elements. This article concerns the same argument in a more general situation, and study the structure of one-sided zero divisors in such rings. We also provide another kind of unit-IFP ring.
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참고문헌 (7)
참고문헌 신청
R. Antoine / 2008 / Nilpotent elements and Armendariz rings / J. Algebra 319(8):3128~3140
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc. 2:363~368
G. M. Bergman / 1974 / Modules over coproducts of rings / Trans. Amer. Math. Soc. 200:1~32
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30(2):751~761
H. K. Kim / 2018 / Insertion of units at zero products / J. Algebra Appl. 16:1850043
H. E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc. 2:363~368
G. M. Bergman / 1974 / Modules over coproducts of rings / Trans. Amer. Math. Soc. 200:1~32
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30(2):751~761
H. K. Kim / 2018 / Insertion of units at zero products / J. Algebra Appl. 16:1850043
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