Separable and Frobenius monoidal Hom-algebras

Yuanyuan Chen; Xiaoyan Zhou

Displaying similar documents to “Separable and Frobenius monoidal Hom-algebras”

Hom-Akivis algebras

A. Nourou Issa (2011)

Commentationes Mathematicae Universitatis Carolinae

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Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra. It is shown that Hom-Akivis algebras can be obtained from Akivis algebras by twisting along algebra endomorphisms and that the class of Hom-Akivis algebras is closed under self-morphisms. It is pointed out that a Hom-Akivis algebra associated to a Hom-alternative algebra is a Hom-Malcev algebra.

The Yoneda algebras of serial QF-algebras.

Generalov, A.I. (2002)

Zapiski Nauchnykh Seminarov POMI

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Realization of small concrete categories by algebras and injective homomorphisms

Jaroslav Ježek (1974)

Colloquium Mathematicae

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A general form of non-Frobenius self-injective algebras

Andrzej Skowroński, Kunio Yamagata (2006)

Colloquium Mathematicae

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Applying the classical work of Nakayama [Ann. of Math. 40 (1939)], we exhibit a general form of non-Frobenius self-injective finite-dimensional algebras over a field.

Ext-algebras and derived equivalences

Dag Madsen (2006)

Colloquium Mathematicae

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Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.