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Globalizations for partial (co)actions on coalgebras
Репозиторій DSpace/Manakin
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Globalizations for partial (co)actions on coalgebras
Інший ID:
2010 MSC: 16T15; 16T99, 16W22
Посилання:
Globalizations for partial (co)actions on coalgebras / F. Castro, G. Quadros // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 2. — С. 212–242. — Бібліогр.: 16 назв. — англ.
Підтримка:
The authors were partially supported by CNPq, Brazil. The authors would like to thank Antonio Paques, Alveri Sant’Ana and the referee, whose comments, corrections and suggestions were very useful to improve the manuscript. We would like to thank Lourdes Haase for her corrections and suggestions about the paper writing.
Дата:
2019
Переглядів:
218
Завантажень:
74
Анотація:
In this paper, we introduce the notion of globalization for partial module coalgebra and for partial comodule coalgebra. We show that every partial module coalgebra is globalizable exhibiting a standard globalization. We also show the existence of globalization for a partial comodule coalgebra, provided a certain rationality condition. Moreover, we show a relationship between the globalization for the (co)module coalgebra and the usual globalization for the (co)module algebra.
