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A ring R is called an I0-ring if each left ideal not contained inthe Jacobson radical J(R) contains a non-zero idempotent. If, in addition,idempotents can be lifted modulo J(R),R is called an I -ring or a potentring. We study whether these properties are inherited by some relatedrings. Also, we investigate the structure of potent rings.
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참고문헌 (11)
참고문헌 신청
C. Y. Hong / 2003 / Exchange rings and their extensions / J. Pure and Appl. Alg 179 : 117 ~ 126
G. Azumaya / 1954 / Strongly ¼-regular ring / J. Fac. Sci. Hokkaido Univ 13 : 34 ~ 39
H. P. Yu / 1997 / On the structure of exchange rings / Comm. Alg 25 (2) : 661 ~ 670
J. Stock / 1986 / On rings whose projective modules have exchange property / J. Alg 103 : 437 ~ 453
K. R. Goodearl / 1979 / von Neuman Regular Rings / Pitman
G. Azumaya / 1954 / Strongly ¼-regular ring / J. Fac. Sci. Hokkaido Univ 13 : 34 ~ 39
H. P. Yu / 1997 / On the structure of exchange rings / Comm. Alg 25 (2) : 661 ~ 670
J. Stock / 1986 / On rings whose projective modules have exchange property / J. Alg 103 : 437 ~ 453
K. R. Goodearl / 1979 / von Neuman Regular Rings / Pitman
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