A. G. Pinus, “Once more on the direct and inverse limits of retractive spectra”, Sib. J. Pure and Appl. Math., 2018, Volume 18, Issue 3,Pages <nobr>60

Once more on the direct and inverse limits of retractive spectra

A. G. Pinus

Novosibirsk State Technical University, 20, pr. Karla Marksa, Novosibirsk 630092, Russia

Abstract: It is proved that any $\forall\exists$-formula which is true on the inverse limit of retractive spector of algebras is true on the direct limit of this spector. We obtain some consecuences from this allegation relative definable functions.

Keywords: retractive spector, direct and inverse limits, definable functions.

UDC: 512.57

Received: 28.03.2018

DOI: 10.33048/pam.2018.18.306