Results 81 to 90 of about 1,081 (183)
A survey of homotopy nilpotency and co-nilpotency
Proceedings of the International Geometry Center, 2020 We review known and state some new results on homotopy nilpotency and co-nilpotency of spaces. Next, we take up the systematic study of homotopy nilpotency of homogenous spaces G/K for a Lie group G and its closed subgroup K < G. The homotopy nilpotency of the loop spaces Ω(Gn,m(K)) and Ω(Vn,m(K)) of Grassmann Gn,m(K) and Stiefel Vn,m(K) manifolds ...
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AUTOMORPHISMS OF THE CATEGORY OF THE FREE NILPOTENT GROUPS OF THE FIXED CLASS OF NILPOTENCY [PDF]
International Journal of Algebra and Computation, 2007 This paper is motivated by the following question arising in universal algebraic geometry: when do two algebras have the same geometry? This question requires considering algebras in a variety Θ and the category Θ0of all finitely generated free algebras in Θ.
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Special MatricesA nonzero element aa is called 1-Sylvester in a ring RR, if there exist b,c∈Rb,c\in R such that 1=ab+ca1=ab+ca. In this article, we study such elements, mainly in matrix rings over commutative rings.
Călugăreanu Grigore
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Two-sided essential nilpotence
International Journal of Mathematics and Mathematical Sciences, 1992 An ideal I of a ring A is essentially nilpotent if I contains a nilpotent ideal N of A such that J⋂N≠0 whenever J is a nonzero ideal of A contained in I. We show that each ring A has a unique largest essentially nilpotent ideal EN(A).
Esfandiar Eslami, Patrick Stewart
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Free nilpotent and nilpotent quadratic Lie algebras
Linear Algebra and its Applications, 2017 In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear forms on the t-nilpotent free Lie algebra with d generators. Taking into account this equivalence, t-nilpotent quadratic Lie algebras with d generators are classified (up to ...
P. Benito +2 more
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The poset of the nilpotent commutator of a nilpotent matrix
Linear Algebra and its Applications, 2013 This revised version includes the results in the first two sections of the version submitted earlier in February 2012; more results are added and some proofs are refined.
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Nuclear Physics BWithin the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we discuss the off-shell nilpotent (anti-)BRST and the bosonic ghost-scale symmetries of a set of coupled (but equivalent) Lagrangian densities for the four (3 + 1)-dimensional (4D ...
R.P. Malik
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Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Calc Var Partial Differ Equ, 2023 Don S, Magnani V.
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Geometrically nilpotent subvarieties
Finite Fields and Their Applications, 2018 We construct some examples of polynomial maps over finite fields that admit subvarieties with a peculiar property: every geometric point is mapped to a fixed point by some iteration of the map, while the whole subvariety is not. Several related open questions are stated and discussed.
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Spreads and nilpotence class in nilpotent groups and Lie algebras
Journal of Algebra, 2015 For a non-abelian finite \(p\)-group \(G\), let \(p^{b(G)}\) be the maximum, and \(p^{s(G)}\) the minimum, of sizes of conjugacy classes of non-central elements of \(G\). The number \(\delta=\delta(G)=b(G)-s(G)\) is called the spread of \(G\). \textit{A. Jaikin-Zapirain} proved [Proc. Am. Math. Soc. 133, No.
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