REGULARITY AND SEMIPOTENCY OF HOM
نویسندگان
چکیده
منابع مشابه
Hom - Algebras and Hom
The aim of this paper is to develop the theory of Hom-coalgebras and related structures. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom-Lie algebras, we describe the notion and some properties of Homalgebras and provide examples. We introduce Hom-coalgebr...
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The aim of this paper is to develop the coalgebra counterpart of the HomAlgebra notions. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom-Lie algebras, we describe the notion and some properties of Homalgebras and provide examples of formal deformations of ...
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The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced in [2] to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced in [12].
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The purpose of this paper is to introduce Hom-alternative algebras and Hom-Jordan algebras. We discuss some of their properties and provide construction procedures using ordinary alternative algebras or Jordan algebras. Also, we show that a polarization of Hom-associative algebra leads to Hom-Jordan algebra. INTRODUCTION Hom-algebraic structures are algebras where the identities defining the st...
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ژورنال
عنوان ژورنال: Korean Journal of Mathematics
سال: 2014
ISSN: 1976-8605
DOI: 10.11568/kjm.2014.22.1.151