Academic Thesis
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RELATIONS FOR GROTHENDIECK GROUPS OF GORENSTEIN RINGS
Naoya Hiramatsu
We consider the converse of the Butler, Auslander-Reiten Theorem, which concerns the relations for Grothendieck groups. We show that a Gorenstein ring is of finite representation type if the Auslander-Reiten sequences generate the relations for Grothendieck groups. This gives an affirmative answer of the conjecture due to Auslander.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
AMER MATHEMATICAL SOC
145
2
559
562
2017-02
Exist
Not exist
English
Research papers (academic journals)
10.1090/proc/13255
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