A. N. Khisamiev, “Quasiresolvent Models”, Algebra Logika, 2004, Volume 43, Number 5,Pages <nobr>614

This article is cited in 3 papers

Quasiresolvent Models

A. N. Khisamiev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: The concept of a 1-quasiresolvent model is introduced, and we institute the interrelationship between quasiresolvent models and 1-quasiresolvent models. Sufficient conditions for a model to be 1-quasiresolvent but not quasiresolvent are specified. And we furnish a description for quasiresolvent Ershov algebras and Abelian $p$-groups.

Keywords: $1$-quasiresolvent model, quasiresolvent model, Ershov algebra, Abelian $p$-group.

UDC: 512.540+510.5

Received: 27.05.2003
Revised: 15.01.2004