DM-GAA

ISSN 1509-9415 (print version)

ISSN 2084-0373 (electronic version)

https://doi.org/10.7151/dmgaa

Discussiones Mathematicae - General Algebra and Applications

Cite Score (2023): 0.6

SJR (2023): 0.214

SNIP (2023): 0.604

Index Copernicus (2022): 121.02

H-Index: 5

Discussiones Mathematicae - General Algebra and Applications

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Discussiones Mathematicae General Algebra and Applications 22(2) (2002) 199-216
DOI: https://doi.org/10.7151/dmgaa.1058

FREE ABELIAN EXTENSIONS IN THE CONGRUENCE-PERMUTABLE VARIETIES

Pavel Zhdanovich

Volgograd State Pedagogical University, Russia
e-mail: comlab@vspu.ru

Abstract

We obtain the construction of free abelian extensions in a congurence-permutable variety V using the construction of a free abelian extension in a variety of algebras with one ternary Mal'cevoperation and a monoid of unary operations. We also use this construction to obtain a free solvable V-algebra.

Keywords: abelian extension, solvable algebra, congurence-permutable variety.

2000 Mathematics Subject Classification: 08B10, 08B20.

References

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[9]
P.B. Zhdanovich, Free Abelian extensions of Sp-permutable algebras (Russian), Chebyshevski Sbornik 3 (2002), No. 1 (3), 49-71.

Received 23 December 2002
Revised 13 January 2003
Revised 13 February 2003

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