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Preservation of Rees exact sequences

In: Mathematica Slovaca, vol. 69, no. 6
Morteza Jafari - Akbar Golchin - Hossein M. Saany
Detaily:
Rok, strany: 2019, 1293 - 1301
Kľúčové slová:
$S$-act, Ress exact sequence, biact
O článku:
Yuqun Chen and K. P. Shum in [\textit{Rees short exact sequence of S-systems}, Semigroup Forum \textbf{65} (2002), 141–148] introduced Rees short exact sequence of acts and considered conditions under which a Rees short exact sequence of acts is left and right split, respectively. To our knowledge, conditions under which the induced sequences by functors $\Hom({RLS}, - )$, $\Hom(-,{RLS})$ and $AS \otimes {S-}$ (where $R, S$ are monoids) are exact, are unknown. This article addresses these conditions. Results are different from that of modules.
Ako citovať:
ISO 690:
Jafari, M., Golchin, A., Saany, H. 2019. Preservation of Rees exact sequences. In Mathematica Slovaca, vol. 69, no.6, pp. 1293-1301. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0309

APA:
Jafari, M., Golchin, A., Saany, H. (2019). Preservation of Rees exact sequences. Mathematica Slovaca, 69(6), 1293-1301. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0309
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 22. 12. 2019