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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2009.1
- 수록면
- 557 - 562 (6page)
이용수
초록· 키워드
오류제보하기
A module M is said to be SIP-extending if the intersection of every pair
of direct summands is essential in a direct summand of M. SIP-extending modules are a proper generalization of both SIP-modules and extending modules. Every direct summand of an SIP-module is an SIP-module just as a direct summand of an extending module is extending. While it is known that a direct sum of SIP-extending modules is not necessarily SIP-extending, the question about direct summands of an SIP-extending module to be SIP-extending remains open. In this study, we show that a direct summand of an
SIP-extending module inherits this property under some conditions. Some related results
are included about C11 and SIP-modules.
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등록된 정보가 없습니다.
참고문헌 (9)
참고문헌 신청
D. M. Arnold / 1990 / A characterization of modules with the summand inter- section property / Comm. Algebra 18 : 519 ~ 528
F. Karabacak / 2003 / Matrix rings with the summand intersection property / Czech. Math. J 53 : 621 ~ 626
F. Karabacak / 2007 / On modules and matrix rings with SIP-extending / Taiwanese J. Math 11 : 1037 ~ 1044
F. W. Anderson / 1974 / Rings and Categories of Modules / Springer-Verlag
G. F. Birkenmeier / 1999 / When is the CS condition hereditary? / Comm. Algebra 27 : 3785 ~ 3885
F. Karabacak / 2003 / Matrix rings with the summand intersection property / Czech. Math. J 53 : 621 ~ 626
F. Karabacak / 2007 / On modules and matrix rings with SIP-extending / Taiwanese J. Math 11 : 1037 ~ 1044
F. W. Anderson / 1974 / Rings and Categories of Modules / Springer-Verlag
G. F. Birkenmeier / 1999 / When is the CS condition hereditary? / Comm. Algebra 27 : 3785 ~ 3885
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