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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 2, Pages 45–49 (Mi fpm824)  
On the wedge product and coprime coalgebras

I. E. Wijayanti

Heinrich-Heine-Universität Düsseldorf
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Abstract: 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.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 2, Pages 1895–1898
DOI: https://doi.org/10.1007/s10958-007-0096-3
Bibliographic databases:
UDC: 512.55
Language: Russian
Citation: I. E. Wijayanti, “On the wedge product and coprime coalgebras”, Fundam. Prikl. Mat., 11:2 (2005), 45–49; J. Math. Sci., 142:2 (2007), 1895–1898
Citation in format AMSBIB
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\by I.~E.~Wijayanti
\paper On the wedge product and coprime coalgebras
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 2
\pages 45--49
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157928}
\zmath{https://zbmath.org/?q=an:1073.16035}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 142
\issue 2
\pages 1895--1898
\crossref{https://doi.org/10.1007/s10958-007-0096-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947387579}
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