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In 1984, Oshiro [11] has studied the decomposition of
continuous lifting modules. He obtained the following: every
continuous lifting module has an indecomposable decomposition. In
this paper, we study extending lifting modules. We show that every
extending lifting module has an indecomposable decomposition. This
result is an expansion of Oshiro's result mentioned above. And we
consider some application of this result.
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참고문헌 (13)
참고문헌 신청
F. W. Anderson / 1992 / Rings and Categories of Modules / Springer-Verlag
J. Clark / 2006 / Lifting Modules, Supplements and projectivity in module theory. Frontiers in Mathematics / Birkh¨auser Verlag
K. Oshiro / 1983 / Semiperfect modules and quasisemiperfect modules / Osaka J. Math 20 (2) : 337 ~ 372
K. Oshiro / 1984 / Lifting modules, extending modules and their applications to QF-rings / Hokkaido Math. J. 13 (3) : 310 ~ 338
N. Er / 2006 / Infinite direct sums of lifting modules / Comm. Algebra 34 (5) : 1909 ~ 1920
J. Clark / 2006 / Lifting Modules, Supplements and projectivity in module theory. Frontiers in Mathematics / Birkh¨auser Verlag
K. Oshiro / 1983 / Semiperfect modules and quasisemiperfect modules / Osaka J. Math 20 (2) : 337 ~ 372
K. Oshiro / 1984 / Lifting modules, extending modules and their applications to QF-rings / Hokkaido Math. J. 13 (3) : 310 ~ 338
N. Er / 2006 / Infinite direct sums of lifting modules / Comm. Algebra 34 (5) : 1909 ~ 1920
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