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most citedBiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras

79 citations · 180 across the 28 of their papers we have counts for

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7 papers · 1 filter

math.RA2022★ 1 cited

BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators

Ling Liu, Abdenacer Makhlouf, Claudia Menini +1

The purpose of this paper is to introduce and study BiHom-NS-algebras, which are a generalization of NS-algebras using two homomorphisms. Moreover, we discuss their relationships w…

math.RA2020★ 6 cited

Tensor products and perturbations of BiHom-Novikov-Poisson algebras

Ling Liu, Abdenacer Makhlouf, Claudia Menini +1

We study BiHom-Novikov-Poisson algebras, which are twisted generalizations of Novikov-Poisson algebras and Hom-Novikov-Poisson algebras, and find that BiHom-Novikov-Poisson algebra…

math.RA2015★ 79 cited

BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras

Giacomo Graziani, Abdenacer Makhlouf, Claudia Menini +1

A BiHom-associative algebra is a (nonassociative) algebra endowed with two commuting multiplicative linear maps such that , for al…

math.RA2010★ 1 cited

Categories of comodules and chain complexes of modules

A. Ardizzoni, L. El Kaoutit, C. Menini

Let $\lL(A)$ denote the coendomorphism left -bialgebroid associated to a left finitely generated and projective extension of rings with identities. We show that the ca…

math.RA2008★ 3 cited

Pre-torsors and Galois comodules over mixed distributive laws

Gabriella Böhm, Claudia Menini

We study comodule functors for comonads arising from mixed distributive laws. Their Galois property is reformulated in terms of a (so-called) regular arrow in Street's bicategory o…

math.RA2007★ 6 cited

Formally smooth bimodules

A. Ardizzoni, Tomasz Brzezinski, C. Menini

The notion of a formally smooth bimodule is introduced and its basic properties are analyzed. In particular it is proven that a - bimodule which is a generator left -m…