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

Sib. Èlektron. Mat. Izv., 2017 Volume 14, Pages 1238–1247 (Mi semr864)

Mathematical logic, algebra and number theory

Minimally complete associative Artin rings

T. V. Pavlova

Tyumen State University, Volodarskogo st., 6, 625003, Tyumen, Russian Federation

Abstract: We study complete associative rings. We give an exhaustive description of minimally complete associative Artin rings.

Keywords: associative ring, Artin ring, complete ring, reduced ring, minimally complete ring, Galois ring.

UDC: 512.552.13

MSC: 16X99

Received May 6, 2017, published November 28, 2017

DOI: 10.17377/semi.2017.14.105



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© Steklov Math. Inst. of RAS, 2024