Mathematical logic, algebra and number theory

On topologization of direct limits of retractive spectors and their completion

A. G. Pinus

Novosibirsk State Technical University, 20, K. Marx ave., Novosibirsk, 630073, Russia

Abstract: Some natural topologies on the direct and inverse limits of retractive spectra of algebras are defined and compactness criteria for these topologies on the inverse limit are given.

Keywords: retractive spectra, topology, compactness.

UDC: 512.17

MSC: 08A05

Received June 26, 2018, published September 27, 2019

DOI: 10.33048/semi.2019.16.093

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