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20102023
most citedLow dimensional nilpotent n-Lie algebras

5 citations · 8 across the 7 of their papers we have counts for

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7 papers

math.RA2023

On the dimension of c-nilpotent multiplier of n-Lie algebras

Farshid Saeedi, Seyedeh Nafiseh Akbarossadat

Let L be a finite-dimensional n-Lie algebra with free presentation F/R. Then the concept of c-nilpotent multiplier of L, denoted by M(c)(L), is defined as follows: M(c)(L) =(gamma…

math.RA2023★ 1 cited

The 2-nilpotent multiplier of n-Lie algebras and its applications

Farshid Saeedi, Seyedeh Nafiseh Akbarossadat

In this paper, we first recall the concept of c-nilpotent multiplier and c-capability of n-Lie algebras and also, recall the formula for calculating the number of basic commutators…

math.RA2023★ 1 cited

Basic Commutators in n-Lie Algebras

Farshid Saeedi, Seyedeh Nafiseh Akbarossadat

In this paper, we give the structure of free n-Lie algebras. Next, we introduce basic commutators in n-Lie algebras and generalize the Witt formula to calculate the number of the b…

math.RA2022

Frattinian nilpotent Lie algebras

Mehri KianMehr, Farshid Saeedi

We introduce a novel concept Frattinian nilpotent Lie algebra. Along with some examples, we show that every Frattinian nilpotent Lie algebra has a central decomposition of its idea…

math.RA2018★ 5 cited

Low dimensional nilpotent n-Lie algebras

Mehdi Eshrati, Farshid Saeedi, Hamid Darabi

In this paper, nilpotent n-Lie algebras of dimension n + 3 as well as nilpotent n-Lie algebras of class 2 and dimension n + 4 are classified.

math.RA2018★ 1 cited

On classification of (n+5)-dimensional nilpotent n-Lie algebra of class two

Z. Hoseini, F. Saeedi, H. Darabi

In this paper, we classify (n+5)-dimensional nilpotent n-Lie algebras of class two over the arbitrary field, when .

math.GR2010

Elements with r-th roots in finite groups

Elaheh Khamseh, Mohammed Reza R. Moghaddam, Francesco G. Russo +1

The probability that a randomly chosen element of a finite group is an --th root (for any integer ) has been studied largely in case . Certain techniques may be gen…