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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2012 Volume 53, Number 5, Pages 1157–1165 (Mi smj2337)

This article is cited in 8 papers

On projectively soluble abelian groups

A. R. Chekhlov

Tomsk State University, Faculty of Mechanics and Mathematics, Tomsk

Abstract: We describe the projective soluble abelian groups of class $\le2$ in the classes of nonreduced periodic split coperiodic groups and torsion-free separable and vector groups.

Keywords: projectively soluble module, projective commutant, projective center, projectively central series, conjugate projection.

UDC: 512.541

Received: 18.10.2011


 English version:
Siberian Mathematical Journal, 2012, 53:5, 927–933

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© Steklov Math. Inst. of RAS, 2026