A CLASS OF LOCALLY NILPOTENT COMMUTATIVE ALGEBRAS
2011 ◽
Vol 21
(05)
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pp. 763-774
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Keyword(s):
This paper deals with the variety of commutative non associative algebras satisfying the identity [Formula: see text], γ ∈ K. In [3] it is proved that if γ = 0, 1 then any finitely generated algebra is nilpotent. Here we generalize this result by proving that if γ ≠ -1, then any such algebra is locally nilpotent. Our results require characteristic ≠ 2, 3.
Keyword(s):
2017 ◽
Vol 16
(03)
◽
pp. 1750041
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2015 ◽
Vol 3
(1)
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pp. 1-12
Keyword(s):
1966 ◽
Vol 9
(2)
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pp. 197-200
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2019 ◽
Vol 19
(05)
◽
pp. 2050095
Keyword(s):
1982 ◽
Vol 32
(1)
◽
pp. 52-60
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Keyword(s):
2018 ◽
Vol 17
(04)
◽
pp. 1850064
Keyword(s):
2019 ◽
Vol 29
(08)
◽
pp. 1527-1539
1965 ◽
Vol 17
◽
pp. 78-92
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