Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
HYPERALGEBRAS AND HYPER-COALGEBRAS
K. DeneckeK. Saengsura
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2009 年 70 巻 2 号 p. 247-264

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In this paper we consider hyperalgebras and hyper-coalgebras of type τ , as an analogue of algebras of type τ and coalgebras of type τ (see [10]). Hyperalgebras and hyper-coalgebras are special cases of (F1, F2)-systems. Therefore many of the results in this paper will be instances of (F1, F2)-system results (see [8]). Nevertheless it is interesting and instructive to consider directly the theory of hyperalgebras and hyper-coalgebras of type τ . The aim of this paper is to create a unified theory of hyperalgebras and hyper-coalgebras which is based on (F1, F2)-systems.
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© 2009 International Society for Mathematical Sciences
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