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Epimorphisms of S-quantales

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Abstract

In this paper we study certain actions of a pomonoid S on a complete lattice, which we call S-quantales. Our aim is to characterize epimorphisms in the category of S-quantales. For this purpose we show that this category is a monadic construct and has the amalgamation property.

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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China

    Zhijiang Xiao & Xia Zhang

Authors
  1. Zhijiang Xiao
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  2. Xia Zhang
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Correspondence to Xia Zhang.

Additional information

This article is part of the topical collection “The 5th Novi Sad Algebraic Conference (NSAC 2017)” edited by P. Marković, M. Maróti and A. Tepavčević.

Research was supported by the Natural Science Foundation of Guangdong Province, China (Grant No. 2016A030313832), the Science and Technology Program of Guangzhou, China (Grant No. 201607010190), the State Scholarship Fund, China (Grant No. 201708440512).

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Xiao, Z., Zhang, X. Epimorphisms of S-quantales. Algebra Univers. 79, 65 (2018). https://doi.org/10.1007/s00012-018-0550-8

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  • DOI: https://doi.org/10.1007/s00012-018-0550-8

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