TY  - JOUR
T1  - SS-supplemented modules
AU  - Kaynar, Engin
AU  - Türkmen, Ergül
AU  - Çalışıcı, Hamza
PY  - 2020
DA  - June
Y2  - 2019
DO  - 10.31801/cfsuasmas.585727
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 473
EP  - 485
VL  - 69
IS  - 1
LA  - en
AB  - A module M is called ss-supplemented if every submodule U of M has asupplement V in M such that U(intersection) V is semisimple. It is shown that a finitely generatedmodule M is ss-supplemented if and only if it is supplemented and Rad(M) (submodule)Soc(M). A moduleM is called strongly local if it is local and Rad(M) (submodule) Soc(M). Any direct sum of stronglylocal modules is ss-supplemented and coatomic. A ring R is semiperfect and Rad(R) (submodule)Soc(RR) if and only if every left R-module is ss-supplemented if and only if RR is a finite sum of strongly localsubmodules.
KW  - strongly local module
KW  - semisimple module
KW  - ss-supplemented module
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UR  - https://doi.org/10.31801/cfsuasmas.585727
L1  - https://dergipark.org.tr/en/download/article-file/920368
ER  -