Aglianò-Montagna type decomposition of linear pseudo hoops and its applications |
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Authors: | Anatolij Dvure?enskij |
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Institution: | Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia |
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Abstract: | We decompose every linear pseudo hoop as an Aglianò-Montagna type of ordinal sum of linear Wajsberg pseudo hoops which are either negative cones of linear ?-groups or intervals in linear unital ?-groups with strong unit. We apply the decomposition to present a new proof that every linear pseudo BL-algebra and consequently every representable pseudo BL-algebra is good. Moreover, we show that every maximal filter and every value of a linear pseudo hoop is normal, and every σ-complete linear pseudo hoop is commutative. |
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Keywords: | 06D35 03G12 03B50 |
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