Results 61 to 70 of about 70,900 (224)
A description of a class of finite semigroups that are near to being Malcev nilpotent
, 2012 In this paper we continue the investigations on the algebraic structure of a finite semigroup $S$ that is determined by its associated upper non-nilpotent graph $\mathcal{N}_{S}$.
E. JESPERS +3 more
core +1 more source
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
Journal of Symbolic Computation, 1987 This paper describes a new procedure, based on string rewriting rules, for verifying that a finitely presented group G is nilpotent. If G is not nilpotent, the procedure may not terminate. A preliminary computer implementation of the procedure has been used to prove a theorem about minimal presentations of free nilpotent groups of class 3.
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Residually rationally solvable one‐relator groups
Bulletin of the London Mathematical Society, EarlyView.Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley +1 more source
The strongly Tri-nil clean rings [PDF]
Al-Rafidain Journal of Computer Sciences and MathematicsThis study explores the structure and properties of strongly Tri-nil clean rings. A ring is defined as strongly Tri-nil clean if every member in a ring can be expressed as the sum of a tripotent element and a nilpotent member, where these components ...
Rana Mahammed Shafik, Nazar Shuker
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On finitely generated left nilpotent braces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract A description of finitely generated left nilpotent braces of class at most two is presented in this paper. The description heavily depends on the fact that if B$B$ is left nilpotent of class at most 2, that is B3=0$B^3 = 0$, then B$B$ is right nilpotent of class at most 3, that is B(4)=0$B^{(4)} = 0$. In addition, we construct a free object in
Hangyang Meng +3 more
wiley +1 more source
Potentially nilpotent patterns and the Nilpotent-Jacobian method
Linear Algebra and its Applications, 2012 12 ...
Adam Van Tuyl +2 more
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Real models for the framed little n$n$‐disks operads
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
A typical graph structure of a ring [PDF]
Transactions on Combinatorics, 2015 The zero-divisor graph of a commutative ring R with respect to nilpotent elements is a simple undirected graph $Gamma_N^*(R)$ with vertex set Z_N(R)*, and two vertices x and y are adjacent if and only if xy is nilpotent and xy is nonzero, where Z_N(R)={x
R. Kala , S. Kavitha
doaj
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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