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Extensions of posets with an antitone involution to residuated structures
Fuzzy Sets and Systems ( IF 3.9 ) Pub Date : 2021-02-18 , DOI: 10.1016/j.fss.2021.02.008 Ivan Chajda , Miroslav Kolařík , Helmut Länger
中文翻译:
对剩余结构具有反调对合的偏序扩展
更新日期:2021-02-18
Fuzzy Sets and Systems ( IF 3.9 ) Pub Date : 2021-02-18 , DOI: 10.1016/j.fss.2021.02.008 Ivan Chajda , Miroslav Kolařík , Helmut Länger
We show that every poset P with an antitone involution can be extended to a commutative integral residuated poset . If, moreover, P is a lattice then so is .
中文翻译:
对剩余结构具有反调对合的偏序扩展
我们表明每个具有反调对合的偏序P都可以扩展到交换积分剩余偏序. 此外,如果P是一个格子,那么也是.