Results 51 to 60 of about 86,239 (234)
Very nilpotent basis and n-tuples in Borel subalgebras [PDF]
, 2010 A (vector space) basis B of a Lie algebra is said to be very nilpotent if all the iterated brackets of elements of B are nilpotent. In this note, we prove a refinement of Engel's Theorem.
Michael, Bulois
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Nilpotent spaces: some inequalities on nilpotency degrees [PDF]
Proceedings of the American Mathematical Society, 1992 Our purpose in this work is to compare the nilpotency degree of the action of π 1 ( X ) {\pi _1}(X) on π n ( X ) ( 2 ≤ n ≤ 7 )
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Construction of nice nilpotent Lie groups [PDF]
Journal of Algebra, 2018 We illustrate an algorithm to classify nice nilpotent Lie algebras of dimension n up to a suitable notion of equivalence; applying the algorithm, we obtain complete listings for n ≤ 9 .
D. Conti, F. Rossi
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Al-Rafidain Journal of Computer Sciences and MathematicsAn element is considered as a strongly SITN, if it is the sum of idempotent, tripotent and a nilpotent, that commute with one another. A ring R is referred to be SITN ring if each member of R is a strongly SITN.
Rafal Dhanoon, Nazar Shuker
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On Some Residual Properties of the Verbal Embeddings of Groups [PDF]
Advances in Group Theory and Applications, 2016 We consider verbal embedding constructions preserving some residual properties for groups. An arbitrary residually finite countable group $H$ has a $V$-verbal embedding into a residually finite $2$-generator group $G$ for any non-trivial word set $V$. If
Vahagn H. Mikaelian
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On the number of points of nilpotent quiver varieties over finite fields [PDF]
Annales Scientifiques de l'Ecole Normale Supérieure, 2017 We give a closed expression for the number of points over finite fields (or the motive) of the Lusztig nilpotent variety associated to any quiver, in terms of Kac's A-polynomials. When the quiver has 1-loops or oriented cycles, there are several possible
T. Bozec, O. Schiffmann, E. Vasserot
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Ratio Mathematica, 2023 We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with.
Dhivya C, Radha D
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Einstein nilpotent Lie groups [PDF]
Journal of Pure and Applied Algebra, 2017 We study the Ricci tensor of left-invariant pseudoriemannian metrics on Lie groups. For an appropriate class of Lie groups that contains nilpotent Lie groups, we introduce a variety with a natural GL ( n , R ) action, whose orbits parametrize Lie groups ...
D. Conti, F. Rossi
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Potentially nilpotent patterns and the Nilpotent-Jacobian method
Linear Algebra and its Applications, 2012 12 ...
Bergsma, Hannah +2 more
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On almost finitely generated nilpotent groups
International Journal of Mathematics and Mathematical Sciences, 1996 A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
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