When doL-fuzzy ideals of a ring generate a distributive lattice?

Ninghua Gao; Qingguo Li; Zhaowen Li

Displaying similar documents to “When doL-fuzzy ideals of a ring generate a distributive lattice?”

Fuzzy ideals of ordered semigroups with fuzzy orderings

Xiaokun Huang, Qingguo Li (2016)

Open Mathematics

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The purpose of this paper is to introduce the notions of ∈, ∈ ∨qk-fuzzy ideals of a fuzzy ordered semigroup with the ordering being a fuzzy relation. Several characterizations of ∈, ∈ ∨qk-fuzzy left (resp. right) ideals and ∈, ∈ ∨qk-fuzzy interior ideals are derived. The lattice structures of all ∈, ∈ ∨qk-fuzzy (interior) ideals on such fuzzy ordered semigroup are studied and some methods are given to construct an ∈, ∈ ∨qk-fuzzy (interior) ideals from an arbitrary fuzzy subset. Finally,...

Fuzzy ideals in Laskerian rings

Tariq Shah, Muhammad Saeed (2013)

Matematički Vesnik

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On fuzzy ideals in Hilbert algebras.

Dudek, Wieslaw A., Jun, Young Bae (1999)

Novi Sad Journal of Mathematics

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On Krull's intersection theorem of fuzzy ideals.

Murali, V., Makamba, B.B. (2003)

International Journal of Mathematics and Mathematical Sciences

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Relation between (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras

Akbar Paad (2016)

Discussiones Mathematicae General Algebra and Applications

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In this paper, we study relationships between among (fuzzy) Boolean ideals, (fuzzy) Gödel ideals, (fuzzy) implicative filters and (fuzzy) Boolean filters in BL-algebras. In [9], there is an example which shows that a Gödel ideal may not be a Boolean ideal, we show this example is not true and in the following we prove that the notions of (fuzzy) Gödel ideals and (fuzzy) Boolean ideals in BL-algebras coincide.

Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

Young Bae Jun, Seok-Zun Song (2020)

Bulletin of the Section of Logic

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Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal are considered. Using the notion of BCK-parts, an Inf-hesitant fuzzy ideal is constructed....