کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6855907 1437696 2018 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some properties of pseudo-BCK- and pseudo-BCI-algebras
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Some properties of pseudo-BCK- and pseudo-BCI-algebras
چکیده انگلیسی
Pseudo-BCI-algebras generalize both BCI-algebras and pseudo-BCK-algebras, which are a non-commutative generalization of BCK-algebras. In this paper, following [37], we show that pseudo-BCI-algebras are the residuation subreducts of semi-integral residuated po-monoids and characterize those pseudo-BCI-algebras which are direct products of pseudo-BCK-algebras and groups (regarded as pseudo-BCI-algebras). We also show that the quasivariety of pseudo-BCI-algebras is relatively congruence modular; in fact, we prove that this holds true for all relatively point regular quasivarieties which are relatively ideal determined, in the sense that the kernels of relative congruences can be described by means of ideal terms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 339, 15 May 2018, Pages 1-16
نویسندگان
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