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math.RA2017
Chains of Semiprime and Prime Ideals in Leavitt Path Algebras
Gene Abrams, Be'eri Greenfeld, Zachary Mesyan +1
Semiprime ideals of an arbitrary Leavitt path algebra L are described in terms of their generators. This description is then used to show that the semiprime ideals form a complete…
math.RA2017★ 1 cited
An infinite cardinal-valued Krull dimension for rings
K. Alan Loper, Zachary Mesyan, Greg Oman
We define and study two generalizations of the Krull dimension for rings, which can assume cardinal number values of arbitrary size. The first, which we call the "cardinal Krull di…