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Relevant bibliographies by topics / Degree of nilpotence

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Journal articles

Academic literature on the topic 'Degree of nilpotence'

Author: Grafiati

Published: 10 March 2023

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Journal articles on the topic "Degree of nilpotence"

1

Kireeva, Elena, and Vladimir Shchigolev. "The nilpotence degree of quantum Lie nilpotent algebras." International Journal of Algebra and Computation 28, no. 06 (2018): 1119–28. http://dx.doi.org/10.1142/s0218196718500492.

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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].

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2

POWELL, GEOFFREY M. L. "The tensor product theorem for &∇tilde;-nilpotence and the dimension of unstable modules." Mathematical Proceedings of the Cambridge Philosophical Society 130, no. 3 (2001): 427–39. http://dx.doi.org/10.1017/s030500410100500x.

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Let [Fscr ] be the category of functors from the category of finite-dimensional [ ]2-vector spaces to [ ]2-vector spaces. The concept of &∇tilde;-nilpotence in the category [Fscr ] is used to define a ‘dimension’ for the category of analytic functors which has good properties. In particular, the paper shows that the tensor product F [otimes ] G of analytic functors which are respectively &∇tilde;s and &∇tilde;t nilpotent is &∇tilde;s+t − 1-nilpotent.The notion of &∇tilde;-nilpotence is extended to define a dimension in the category of unstable modules over the mod 2 Steenro

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3

Croome, Sarah, та Mark L. Lewis. "𝑝-groups with exactly four codegrees". Journal of Group Theory 23, № 6 (2020): 1111–22. http://dx.doi.org/10.1515/jgth-2019-0073.

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AbstractLet G be a p-group, and let χ be an irreducible character of G. The codegree of χ is given by {\lvert G:\operatorname{ker}(\chi)\rvert/\chi(1)}. Du and Lewis have shown that a p-group with exactly three codegrees has nilpotence class at most 2. Here we investigate p-groups with exactly four codegrees. If, in addition to having exactly four codegrees, G has two irreducible character degrees, G has largest irreducible character degree {p^{2}}, {\lvert G:G^{\prime}\rvert=p^{2}}, or G has coclass at most 3, then G has nilpotence class at most 4. In the case of coclass at most 3, the order

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4

Minh, Pham Anh. "Any nilpotence degree occurs in mod-p cohomology rings of p-groups." Mathematische Zeitschrift 249, no. 2 (2004): 387–400. http://dx.doi.org/10.1007/s00209-004-0703-7.

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5

ŁOPUSZAŃSKI, JAN. "A REMARK ON B.R.S. TRANSFORMATIONS." International Journal of Modern Physics A 03, no. 11 (1988): 2589–600. http://dx.doi.org/10.1142/s0217751x88001077.

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We scrutinize transformations constructed by taking the most general expressions consisting of terms of forms of the same degree in the fields A10, ν01, [Formula: see text], Q12 and F20 as well as operations d10 and s01, where the subscripts denote the degree of the forms in the x—and in the group parameter spaces. Imposing the requirement of nilpotence for d and s as well as Faddeev-Popov charge conservation we get a unique form of the B.R.S. transformation.

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6

Petrov, E. P. "On the degree of minimal identity of a finitely generated algebra with a fixed nilpotence index." Sibirskie Elektronnye Matematicheskie Izvestiya 16 (August 6, 2019): 1028–35. http://dx.doi.org/10.33048/semi.2019.16.071.

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7

Filho, Augusto Reynol. "Nilpotent Spaces: Some Inequalities on Nilpotency Degrees." Proceedings of the American Mathematical Society 115, no. 2 (1992): 501. http://dx.doi.org/10.2307/2159274.

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8

Reynol Filho, Augusto. "Nilpotent spaces: some inequalities on nilpotency degrees." Proceedings of the American Mathematical Society 115, no. 2 (1992): 501. http://dx.doi.org/10.1090/s0002-9939-1992-1093597-8.

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9

PAJOOHESH, H., P. RODRIGUEZ та C. WADDELL. "NILPOTENT INNER DERIVATIONS ON SOME SUBRINGS OF Mn(ℝ)". Journal of Algebra and Its Applications 12, № 08 (2013): 1350045. http://dx.doi.org/10.1142/s021949881350045x.

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It is known that the degree of nilpotency of a nilpotent derivation on a prime ring including the ring of n × n matrices must be an odd number. In this article we introduce subrings of the ring of of n × n matrices that admit derivations with an even degree of nilpotency.

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10

POURMAHMOOD-AGHABABA, HASAN. "APPROXIMATELY BIPROJECTIVE BANACH ALGEBRAS AND NILPOTENT IDEALS." Bulletin of the Australian Mathematical Society 87, no. 1 (2012): 158–73. http://dx.doi.org/10.1017/s0004972712000251.

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AbstractBy introducing a new notion of approximate biprojectivity we show that nilpotent ideals in approximately amenable or pseudo-amenable Banach algebras, and nilpotent ideals with the nilpotency degree larger than two in biflat Banach algebras cannot have the special property which we call ‘property (𝔹)’ (Definition 5.2 below) and hence, as a consequence, they cannot be boundedly approximately complemented in those Banach algebras.

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