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math.RA2026
Hereditarily and Super Bassian Modules over Certain Rings
Peter Vassilev Danchev, Truong Cong Quynh, Jan Žemlička
We characterize in certain basic cases when a module over a ring is either {\it hereditarily Bassian} or {\it super Bassian} in the sense that either each its proper submodule is B…
math.RA2020
Self-injective von Neumann regular rings and Köthe's Conjecture
Peter Kálnai, Jan Žemlička
One of the many equivalent formulation of the Köthe's conjecture is the assertion that there exists no ring which contains two nil right ideals whose sum is not nil. We discuss sev…