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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2022 Volume 513, Pages 139–146 (Mi znsl7234)

This article is cited in 1 paper

Construction of convergence rings of a multidimensional complete field

A. I. Madunts

Saint Petersburg State University

Abstract: A criterion for the admissibility of a minimal monoid containing a given allowable set of multiindices is proved. In addition, an algorithm for constructing a convergence ring of a multidimensional complete field containing a given convergence set is proposed.

Key words and phrases: multidimensional complete fields, topology, convergence righs.

UDC: 512.625

Received: 01.07.2022



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© Steklov Math. Inst. of RAS, 2025