Abstract
We continue the study of homomorphisms between power-set Q-algebras. First, by means of decomposed ul-Q-relations between ordered semigroups we give a general characterization for the homomorphisms between power-set Q-algebras. Also, we consider a new category OSGRP whose objects are ordered semigroups and whose morphisms are decomposed ul-Q-relations, and discuss the relationship between the category OSGRP and the category Q-Alg of Q-algebras.
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Acknowledgments
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11531009 and 11301316), the Fundamental Research Funds for the Central Universities (Grant Nos. GK201402001, GK201501001) and the Natural Science Program for Basic Research of Shaanxi Province, China (Grant Nos. 2015JM1020, 15JK1667). We would like to thank the anonymous reviewers for their helpful comments and suggestions for the improvement of this paper.
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Communicated by Mikhail Volkov.
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Han, S., Pan, F. On the homomorphisms of power-set Q-algebras. Semigroup Forum 94, 80–92 (2017). https://doi.org/10.1007/s00233-016-9777-x
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DOI: https://doi.org/10.1007/s00233-016-9777-x