Results 41 to 50 of about 75,899 (224)

Computing nilpotent quotients in finitely presented Lie rings [PDF]

Discrete Mathematics & Theoretical Computer Science, 1997
A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q) is described. The paper studies the graded and non-graded cases separately.
Csaba Schneider
doaj   +2 more sources

Ad-nilpotent ideals of a Borel subalgebra: generators and duality [PDF]

, 2003
It was shown by Cellini and Papi that an ad-nilpotent ideal determines certain element of the affine Weyl group, and that there is a bijection between the ad-nilpotent ideals and the integral points of a simplex with rational vertices.
Panyushev, Dmitri I.
core   +2 more sources

ON NILPOTENT POWER SERIES WITH NILPOTENT COEFFICIENTS [PDF]

Korean Journal of Mathematics, 2013
Antoine studied conditions which are connected to the question of Amitsur of whether or not a polynomial ring over a nil ring is nil, introducing the notion of nil-Armendariz rings. Hizem ex- tended the nil-Armendariz property for polynomial rings onto power- series rings, say nil power-serieswise rings .
Tai Keun Kwak, Yang Lee
openaire   +2 more sources

A characterisation of nilpotent blocks [PDF]

Proceedings of the American Mathematical Society, 2015
Let $B$ be a $p$-block of a finite group, and set $m=$ $\sum (1)^2$, the sum taken over all height zero characters of $B$. Motivated by a result of M. Isaacs characterising $p$-nilpotent finite groups in terms of character degrees, we show that $B$ is nilpotent if and only if the exact power of $p$ dividing $m$ is equal to the $p$-part of $|G:P|^2|P ...
Kessar, R., Linckelmann, M., Navarro, G.
openaire   +5 more sources

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
doaj   +1 more source

On Strongly SITN Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
An 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
doaj   +1 more source

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.
openaire   +3 more sources

A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$ [PDF]

International Journal of Group Theory, 2014
Let $G=SL_2(p^f)$ be a special linear group and $P$ be a Sylow $2$-subgroup of $G$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. By $N_G(P)$ we denote the normalizer of $P$ in $G$.
Jiangtao Shi
doaj  

On the genus of graphs from commutative rings

AKCE International Journal of Graphs and Combinatorics, 2017
Let be a commutative ring with non-zero identity. The cozero-divisor graph of , denoted by , is a graph with vertex-set , which is the set of all non-zero non-unit elements of , and two distinct vertices and in are adjacent if and only if and , where for
S. Kavitha, R. Kala
doaj   +1 more source

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 ...
openaire   +3 more sources