Abstract
In this paper, we investigate some properties of the unital quantale Q[e], in terms of the quantic quotients of Q[e] we study the extensions of quantic nuclei of Q to Q[e] and prove that for any non-trivial quantale \(\textbf{Q}\), Q[e] is not simple. Also, we give some applications for the unital quantale Q[e].
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The research was supported by the National Natural Science Foundation of China (Grant No.11001158, 10871121) and the Research Award for Young Teachers in Shaanxi Normal University, China.
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Han, S., Zhao, B. Remark on the Unital Quantale Q[e]. Appl Categor Struct 20, 239–250 (2012). https://doi.org/10.1007/s10485-010-9237-9
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DOI: https://doi.org/10.1007/s10485-010-9237-9