Taiwanese Journal of Mathematics

ON MODULES AND MATRIX RINGS WITH SIP-EXTENDING

F. Karabacak and A. Tercan

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Abstract

In this note we study modules with the property that the intersection of two direct summands is essential in a direct summand (SIP-extending). Amongst other results we show that the class of right SIP-extending modules is neither closed under direct sums nor Morita invariant. Further we deal with direct summands of a SIP-extending module and SIP-extending matrix rings.

Article information

Source
Taiwanese J. Math., Volume 11, Number 4 (2007), 1037-1044.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500404800

Digital Object Identifier
doi:10.11650/twjm/1500404800

Mathematical Reviews number (MathSciNet)
MR2348549

Zentralblatt MATH identifier
1139.16005

Subjects
Primary: 16D10: General module theory 16D15

Keywords
summand intersection property extending modules $C_{11}$-modules Morita invariant

Citation

Karabacak, F.; Tercan, A. ON MODULES AND MATRIX RINGS WITH SIP-EXTENDING. Taiwanese J. Math. 11 (2007), no. 4, 1037--1044. doi:10.11650/twjm/1500404800. https://projecteuclid.org/euclid.twjm/1500404800


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