منابع مشابه
CHEBYSHEV SUBALGEBRAS OF JB-ALGEBRAS
In this note, we characterize Chebyshev subalgebras of unital JB-algebras. We exhibit that if B is Chebyshev subalgebra of a unital JB-algebra A, then either B is a trivial subalgebra of A or A= H R .l, where H is a Hilbert space
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Using the notion of anti fuzzy points and its besideness to and nonquasi-coincidence with a fuzzy set, new concepts in anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their properties and relationships are investigated.
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It is shown that Golod-Shaferevich algebras of a reduced number of defining relations contain noncommutative free subalgebras in two generators, and that these algebras can be homomorphically mapped onto prime, Noetherian algebras with linear growth. It is also shown that Golod-Shafarevich algebras of a reduced number of relations cannot be nil. 2010 Mathematics subject classification: 16P40, 1...
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We prove that for every automata algebra of exponential growth, the associated Lie algebra contains a free subalgebra. For n ≥ 1, let Ln+2 be a Lie algebra with generator set x1, . . . , xn+2 and the following relations: for k ≤ n, any commutator of length k which consists of fewer than k different symbols from {x1, . . . , xn+2} is zero. As an application of this result about automata algebras...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1996
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-96-03593-9