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Modular group algebras whose group of unitary units is locally nilpotent
We characterize those modular group algebras FG whose group of unitary units is locally nilpotent or nilpotent under the classical involution of FG ....
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Embedding of Free Nilpotent (Metabelian) Groups in Partially Commutative Nilpotent (Metabelian) Groups
AbstractAn algorithm is presented that determines the maximum rank of a free nilpotent metabelian or, respectively, nilpotent group isomorphically...
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Generalized Nilpotent Leibniz Algebras
This chapter delves into nilpotent Leibniz algebras and their natural extensions such as hypercentral Leibniz algebras and those satisfying the...
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Second type nilpotent soft subgroups
The main purpose of this paper is to define new concepts on the soft subgroup and soft group, which are called
second type nilpotent soft subgroup ... -
On pointed Hopf algebras over nilpotent groups
We classify finite-dimensional Nichols algebras over finite nilpotent groups of odd order in group-theoretical terms. The main step is to show that...
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On Nilpotent Power MR-Groups
The notion of a power MR -group, where R is an arbitrary associative ring with unity, was introduced by R. Lyndon. A. G. Myasnikov and V. N....
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On Left T-Nilpotent Rings
It is shown that any ring being a sum of two left T -nilpotent subrings is left T -nilpotent. The paper contains the description of all the semigroups S ...
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Top-nilpotent envelo** semigroups and pro-nilsystems
In this paper, it is shown that for d ∈ ℕ, a minimal system ( X , T ) is a d -step pro-nilsystem if its envelo** semigroup is a d -step top-nilpotent...
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Asymptotic shapes for stationary first passage percolation on virtually nilpotent groups
We study first passage percolation (FPP) with stationary edge weights on Cayley graphs of finitely generated virtually nilpotent groups. Previous...
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Real Characters in Nilpotent Blocks
We prove that the number of irreducible real characters in a nilpotent block of a finite group is locally determined. We further conjecture that the...
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On pseudo-Hermitian quadratic nilpotent lie algebras
We study nilpotent Lie algebras endowed with a complex structure and a quadratic structure which is pseudo-Hermitian for the given complex structure....
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Nilpotent Cone and Bivariant Theory
We exhibit a new proof, relying on bivariant theory, that the nilpotent cone is rationally smooth. Our approach enables us to prove a slightly more...
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Phase Retrieval for Nilpotent Groups
We study the phase retrieval property for orbits of general irreducible representations of nilpotent groups, for the classes of simply connected Lie...
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The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras
This paper is devoted to the complete algebraic and geometric classification of complex 5-dimensional nilpotent binary Leibniz and 4-dimensional...
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Σ -Functions of the Categories of Matrix Representations of Nilpotent Semigroups
We study the categories of matrix representations of nilpotent semigroups over an arbitrary field. Our main attention is given to the Auslander...
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On Nilpotent-invariant One-sided Ideals
The notion of a nilpotent-invariant module was introduced and thoroughly investigated in Koşan and Quynh (Comm. Algebra 45 , 2775–2782
2017 ) as a...