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ON MODULES AND MATRIX RINGS WITH SIP-EXTENDING
F. Karabacak and A. Tercan
Taiwanese Journal of Mathematics
Vol. 11, No. 4 (September 2007), pp. 1037-1044
Published by: Mathematical Society of the Republic of China
Stable URL: http://www.jstor.org/stable/43833846
Page Count: 8
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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.
Taiwanese Journal of Mathematics © 2007 Mathematical Society of the Republic of China