21. A Finite type Closure Operations on BCK-algebrasHashem bordbar, 2016, original scientific article Abstract: In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results.
Keywords: BCI-algebra, BCK-algebra, closure operation, finite type closure operation.
Published in RUNG: 01.12.2019; Views: 3905; Downloads: 0
This document has many files! More... |
22. Neutrosophic Quadruple BCK/BCI-AlgebrasYoung Bae Jun, Seok-zun Song, Florentin Smarandache, Hashem bordbar, 2018, original scientific article Abstract: The notion of a neutrosophic quadruple BCK/BCI number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI-algebra are studied. Given subsets A and B of a BCK/BCI-algebra, the set NQ(A,B)
, which consists of neutrosophic quadruple BCK/BCI-numbers with a condition, is established. Conditions for the set NQ(A,B)
to be a (positive implicative) ideal of a neutrosophic quadruple BCK-algebra are provided, and conditions for the set NQ(A,B) to be a (closed) ideal of a neutrosophic quadruple BCI-algebra are given. An example to show that the set {0˜} is not a positive implicative ideal in a neutrosophic quadruple BCK-algebra is provided, and conditions for the set {0˜} to be a positive implicative ideal in a neutrosophic quadruple BCK-algebra are then discussed.
Keywords: neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal
Published in RUNG: 01.12.2019; Views: 4339; Downloads: 0
This document has many files! More... |
23. |
24. |
25. Fasino, Dario; Freni, Domenico, Fundamental relations in simple and 0-simple semihypergroups of small size. (English, Arabic summaries) [published in] Arab. J. Math. 1 (2012), no. 2, 175-190Irina Elena Cristea, 2012, review, book review, critique Keywords: hipermnožice, teorija množic, algebra
Published in RUNG: 25.04.2014; Views: 6341; Downloads: 26
 Link to full text |
26. |
27. L- and R-cross-section in the Brauer semigroupGanna Kudryavtseva, Victor Maltcev, Volodymyr Mazorchuk, 2006, original scientific article Abstract: We classify all cross-sections of Green's relations ▫$\mathcal{L}$▫ and ▫$\mathcal{R}$▫ in the Brauer semigroup. The regular behavior of such cross-sections starts from ▫$n=7$▫. We show that in the regular case there are essentially two different cross-sections and all others are ▫$\mathcal{S}_n$▫-conjugated to one of these two. We also classify all cross-sections up to isomorphism.
Keywords: matematika, algebra, polgrupe transformacij, prečni prerezi, Brauerjeva polgrupa, Greenove relacije, ekvivalence
Published in RUNG: 15.10.2013; Views: 6567; Downloads: 157
Link to full text |
28. |
29. |
30. |
