Minimal prime state filters and state radicals on state pseudo $${ }$$-algebras |
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Authors: | N M Constantinescu |
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Affiliation: | 1.Department of Mathematics,University of Craiova,Craiova,Romania |
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Abstract: | The aim of this paper is the study of some classes of state filters of a state pseudo BL-algebra. The concepts of minimal prime state filter and of state hyperarchimedean pseudo BL-algebra are introduced and a characterization of a state hyperarchimedean pseudo BL-algebra is presented. Also, we define the notion of a state radical of a state filter of a state pseudo BL-algebra, we present a characterization of a state radical and some of its properties. The algebra of state radicals of a state pseudo BL-algebra is studied. |
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