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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2024 Volume 21, Issue 1, Pages 405–416 (Mi semr1693)

Mathematical logic, algebra and number theory

Finite rings with acyclic zero-divisor graphs

A. S. Monastyreva

Altai State University, 61, Lenina st., Barnaul, Russia, 656049

Abstract: We describe all associative finite rings that have acyclic compressed zero-divisor graphs.

Keywords: associative ring, finite ring, zero-divisor graph, compressed zero-divisor graph.

UDC: 512.552

MSC: 16P10

Received February 19, 2024, published June 23, 2024

DOI: 10.33048/semi.2024.21.030



© Steklov Math. Inst. of RAS, 2025