STABLE EQUIVALENCE PROBLEMS FOR FREE ALGEBRAS WITH THE NIELSEN-SCHREIER PROPERTY
2001 ◽
Vol 11
(06)
◽
pp. 779-786
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Keyword(s):
A variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras. For free algebras of finite ranks of Schreier varieties we prove that if two systems of elements are stably equivalent, then they are equivalent. We define the rank of an endomorphism of a free algebra of a Schreier variety and prove that an injective endomorphism of maximal rank does not change the rank of elements of maximal rank.
1987 ◽
Vol 36
(1)
◽
pp. 11-17
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Keyword(s):
2003 ◽
Vol 13
(01)
◽
pp. 17-33
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2019 ◽
Vol 29
(05)
◽
pp. 849-859
Keyword(s):
Keyword(s):
1970 ◽
Vol 13
(1)
◽
pp. 139-140
◽
Keyword(s):
Keyword(s):
2020 ◽
Vol 30
(1)
◽
pp. 33-43
1985 ◽
Vol 97
(1)
◽
pp. 7-26
◽
2015 ◽
Vol 25
(08)
◽
pp. 1223-1238
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Keyword(s):