Inherently Nonfinitely Based Solvable Algebras
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 514-521
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We prove that an inherently nonfinitely based algebra cannot generate an abelian variety. On the other hand, we show by example that it is possible for an inherently nonfinitely based algebra to generate a strongly solvable variety.
Mots-clés :
08B05, algebra, variety, inherently nonfinitely based, Hamiltonian, strongly solvable
Kearnes, Keith; Willard, Ross. Inherently Nonfinitely Based Solvable Algebras. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 514-521. doi: 10.4153/CMB-1994-074-6
@article{10_4153_CMB_1994_074_6,
author = {Kearnes, Keith and Willard, Ross},
title = {Inherently {Nonfinitely} {Based} {Solvable} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {514--521},
year = {1994},
volume = {37},
number = {4},
doi = {10.4153/CMB-1994-074-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-074-6/}
}
TY - JOUR AU - Kearnes, Keith AU - Willard, Ross TI - Inherently Nonfinitely Based Solvable Algebras JO - Canadian mathematical bulletin PY - 1994 SP - 514 EP - 521 VL - 37 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-074-6/ DO - 10.4153/CMB-1994-074-6 ID - 10_4153_CMB_1994_074_6 ER -
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