Results 61 to 70 of about 206 (186)
A Characterization of Left Regularity
Universal Journal of Mathematics and Applications, 2019 We show that a zero-symmetric near-ring $N$ is left regular if and only if $N $ is regular and isomorphic to a subdirect product of integral near-rings, where each component is either an Anshel-Clay near-ring or a trivial integral near-ring. We also show
Peter Fuchs
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On Nilpotent Derivations of Prime Rings [PDF]
Proceedings of the American Mathematical Society, 1989 Let R R be a prime ring with center Z Z and let U U be a noncentral Lie ideal of R R . Suppose that d d is a derivation of R R such that d n ( u ) ∈ Z
openaire +2 more sources
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
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On Clean and Nil-Clean Symbolic 2-Plithogenic Rings [PDF]
Neutrosophic Sets and Systems, 2023 A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a
P. Prabakara, Florentin Smarandache
doaj
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
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BIO Web of ConferencesIn this article, an element w of an associative ring R is called m-regular nil clean or m-rnc if expressed as w = am + b where am is m-regular element and b is a nilpotent element. R is named m-regular nil clean ring or m-rnc ring. If all the elements of
Mahmood Ali Sh. +1 more
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Existence and orthogonality of stable envelopes for bow varieties
Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
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Weakly special threefolds and nondensity of rational points
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch +2 more
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Commutativity and structure of rings with commuting nilpotents
International Journal of Mathematics and Mathematical Sciences, 1983 Let R be a ring and let N denote the set of nilpotent elements of R. Let Z denote the center of R. Suppose that (i) N is commutative, (ii) for every x in R there exists x′ϵ such that x−x2x′ϵN, where denotes the subring generated by x, (iii) for every x ...
Hazar Abu-Khuzam, Adil Yaqub
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Residually nilpotent groups of homological dimension 1
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3223-3232, October 2025.Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
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