Results 171 to 180 of about 15,532 (201)

NILPOTENT LINEAR SEMIGROUPS

International Journal of Algebra and Computation, 2006
We characterize the structure of linear semigroups satisfying certain global and local nilpotence conditions and deduce various Engel-type results. For example, using a form of Zel'manov's solution of the restricted Burnside problem we are able to show that a finitely generated residually finite group is nilpotent if and only if it satisfies a certain
Jespers, Eric, Riley, David
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The nilpotence degree of quantum Lie nilpotent algebras

International Journal of Algebra and Computation, 2018
We consider the quantum analog of the Lie commutator [Formula: see text] for an invertible element [Formula: see text] of the ground field and prove lower and upper bounds for the nilpotence degree of an associative algebra satisfying an identity of the form [Formula: see text].
Elena Kireeva, Vladimir Shchigolev
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NILPOTENCY IN UNCOUNTABLE GROUPS

Journal of the Australian Mathematical Society, 2016
The main purpose of this paper is to investigate the behaviour of uncountable groups of cardinality $\aleph$ in which all proper subgroups of cardinality $\aleph$ are nilpotent. It is proved that such a group $G$ is nilpotent, provided that $G$ has no infinite simple homomorphic images and either $\aleph$ has cofinality strictly larger than $\aleph _{0}
De Giovanni, Francesco, Trombetti, Marco
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On the n—nilpotency

Results in Mathematics, 2002
The main question discussed in the paper under review is some cases of the following: Does an algebra (not necessarily associative) have a property \(\mathcal P\) if it is the sum of two ideals each of which has the property \(\mathcal P\)? If a group is the product of two normal subgroups having a property \(\mathcal P\), does it have itself the ...
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RINGS OVER WHICH COEFFICIENTS OF NILPOTENT POLYNOMIALS ARE NILPOTENT

International Journal of Algebra and Computation, 2011
Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, observing the structure of nilpotent elements in Armendariz rings and introducing the notion of nil-Armendariz rings. The class of nil-Armendariz rings contains Armendariz rings and NI rings.
Tai Keun Kwak, Yang Lee
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A note on a nilpotent lower bound of nilpotent triangular norms

Fuzzy Sets and Systems, 1999
The authors prove that there exists a nilpotent upper (! see corrigendum) bound for a finite set of nilpotent t-norms. Essential tools for the proof are additive generators of t-norms and the theory of superadditive functions. An illustrative example is presented.
Radko Mesiar
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A (locally nilpotent)-by-nilpotent variety of groups

Mathematical Proceedings of the Cambridge Philosophical Society, 2002
Given positive integers k and n, let [Xfr ] be the class of all groups G such that γk(G) is locally nilpotent and [x1, x2, …, xk]n = 1 for any x1, x2, …, xk ∈ G. It is shown that [Xfr ] is a variety.
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Minimal Non-nilpotent and Locally Nilpotent Fusion Systems

Algebra Colloquium, 2016
The main purpose of this note is to show that there is a one-to-one correspondence between minimal non-nilpotent (resp., locally nilpotent) saturated fusion systems and finite p′-core-free p-constrained minimal non-nilpotent (resp., locally p-nilpotent) groups.
Liao, Jun, Liu, Yanjun
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Nilpotent SQS-skeins with nilpotent derived sloops

Ars Comb., 2000
SQS-skeins are an algebraic description of \(3\)-\((v,4,1)\) designs (i.e., Steiner quadruple systems). Each such design determines a ternary operation, say \(q\), that gives a missing element of a block, whenever the arguments are pairwise distinct. If some arguments coincide, then the result is determined so that \(q\) becomes a Mal'tsev operation ...
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Nilpotent Numbers

The American Mathematical Monthly, 2000
Jonathan Pakianathan, Krishnan Shankar
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