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- H Ataguema, A Makhlouf
- 2008

The aim of this paper is to introduce n-ary Hom-algebra structures generalizing the n-ary algebras of Lie type enclosing n-ary Nambu algebras, n-ary Nambu-Lie algebras, n-ary Lie algebras, and n-ary algebras of associative type enclosing n-ary totally associative and n-ary partially associative algebras. Also, we provide a way to construct examples starting… (More)

- Jaume Llibre, Amar Makhlouf
- Applied Mathematics and Computation
- 2009

- SABRINA BADI, AMAR MAKHLOUF
- 2013

Applying the averaging theory of first and second order to a class of generalized polynomial Liénard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit.

- Sabrina Badi, Amar Makhlouf, A. Makhlouf
- 2016

We apply the averaging theory of first and second order to a class of polynomial differential systems of the form ẋ = y − f1(x)y, ẏ = −x − g2(x)− f2(x, y)y, where f1(x) = εf11(x) + εf12(x), f2(x, y) = εf21(x, y) + εf22(x, y) and g2(x) = εg21(x)+ εg22(x) where f1i , f2i and g2i have degree l, n and m respectively for each i = 1, 2, and ε is a small… (More)

- Jaume Llibre, Amar Makhlouf
- Applied Mathematics and Computation
- 2012

- A. MAKHLOUF
- 2008

Let B ⊆ A be an H-Galois extension. If M is a Hopf bimodule then HH∗(A, M), the Hochschild homology of A with coefficients in M , is a right comodule over the coalgebra CH = H/[H,H]. Given an injective left CHcomodule V , our aim is to investigate the relationship between HH∗(A, M) CHV and HH∗(B, M CHV ). The roots of this problem can be found in [Lo2],… (More)

A BiHom-associative algebra is a (nonassociative) algebra A endowed with two commuting multiplicative linear maps α, β : A → A such that α(a)(bc) = (ab)β(c), for all a, b, c ∈ A. This concept arose in the study of algebras in so-called group Hom-categories. In this paper, we introduce as well BiHom-Lie algebras (also by using the categorical approach) and… (More)

- Zouhair Diab, Amar Makhlouf
- J. Applied Mathematics
- 2016

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