FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 2, PAGES 45-49

On the wedge product and coprime coalgebras

I. E. Wijayanti

Abstract

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The wedge product of subcoalgebras of a coalgebra can be used to define coprime coalgebras. On the other hand, coprime elements in the big lattice of preradicals in module categories also lead to the definition of coprime modules. Considering a coalgebra $C$ as a module over its dual algebra $C$*, this yields another notion of coprimeness for coalgebras. Under special conditions, the two definitions coincide.

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Last modified: June 9, 2005