3 citations · 4 across the 10 of their papers we have counts for
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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…
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…
-semi-compact rings and modules
Mahmood Behboodi, François Couchot, Seyed Hossein Shojaee
In this paper several characterizations of semi-compact modules are given. Among other results, we study rings whose semi-compact modules are injective. We introduce the property $…