The residual character of varieties generated by strictly simple term minimal algebras

被引:0
|
作者
K.A. Kearnes
Á. Szendrei
机构
[1] Department of Mathematics,
[2] University of Louisville,undefined
[3] Louisville,undefined
[4] KY 40292,undefined
[5] USA,undefined
[6] e-mail: kearnes@louisville.edu,undefined
[7] Bolyai Institute,undefined
[8] Aradi Vértanúk Tere 1,undefined
[9] H-6720 Szeged,undefined
[10] Hungary,undefined
[11] e-mail: a.szendrei@math.u-szeged.hu,undefined
来源
algebra universalis | 1999年 / 42卷
关键词
Key words and phrases: Residual smallness, subdirect irreducibility, strictly simple algebra, term minimal algebra, tame congruence theory.;
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摘要
We prove that if A is a nonabelian strictly simple term minimal algebra, then the variety V(A) is either residually large or has A as its unique subdirectly irreducible member. We then show that it is possible to algorithmically decide the residual character of V(A) if A has finitely many fundamental operations.
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页码:269 / 292
页数:23
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