کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598223 1336268 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Aglianò-Montagna type decomposition of linear pseudo hoops and its applications
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Aglianò-Montagna type decomposition of linear pseudo hoops and its applications
چکیده انگلیسی
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 ℓ-groups or intervals in linear unital ℓ-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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 211, Issue 3, December 2007, Pages 851-861
نویسندگان
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