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math.RA2022
Left Co-Köthe Rings and Their Characterizations
Shadi Asgari, Mahmood Behboodi, Somayeh Khedrizadeh
Köthe's classical problem posed by G. Köthe in 1935 asks to describe the rings such that every left -module is a direct sum of cyclic modules (these rings are known as left…
math.RA2022
Several Characterizations of Left Köthe Rings
Shadi Asgari, Mahmood Behboodi, Somayeh Khedrizadeh
We study the classical Köthe's problem, concerning the structure of non-commutative rings with the property that: ``every left module is a direct sum of cyclic modules". In 1934, K…