3 papers
math.RA2025
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.RA2024
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.RA2024
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…