Results 31 to 40 of about 17,500 (266)

L-Fuzzy Semiprime Ideals of a Poset

open access: yesAdvances in Fuzzy Systems, 2020
In this paper, we introduce the concept of L-fuzzy semiprime ideal in a general poset. Characterizations of L-fuzzy semiprime ideals in posets as well as characterizations of an L-fuzzy semiprime ideal to be L-fuzzy prime ideal are obtained.
Berhanu Assaye Alaba   +1 more
doaj   +1 more source

Fuzzy small right ideals of rings [PDF]

open access: yesJournal of Hyperstructures, 2013
We introduce the notion of fuzzy small right ideal,fuzzy small right prime ideal and fuzzy maximal small right ideal in a ring. We have obtained necessary and sufficient condition for a fuzzy small right ideal to be fuzzy small prime right ideal. We have
P. Dheena, G. Mohanraj
doaj   +1 more source

Generalizations of prime fuzzy ideals of a lattice [PDF]

open access: yesJournal of Hyperstructures, 2020
As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil   +1 more
doaj   +1 more source

Fuzzy coprimary submodules [PDF]

open access: yes, 2013
Let $R$ be a commutative ring with non-zero identity and let $M$ be a non-zero unitary $R$-module. The concept of fuzzy coprimary submodule as a dual notion of fuzzy primary one will be introduced and some of its properties will be studied.
J. Aazami, N. Zamani
core   +1 more source

Proper Fuzzification of Prime Ideals of a Hemiring

open access: yesAdvances in Fuzzy Systems, 2012
Prime fuzzy ideals, prime fuzzy k-ideals, and prime fuzzy h-ideals are roped in one condition. It is shown that this way better fuzzification is achieved. Other major results of the paper are: every fuzzy ideal (resp., k-ideal, h-ideal) is contained in a
H. V. Kumbhojkar
doaj   +1 more source

Fuzzy $h$-ideals of hemirings

open access: yes, 2006
A characterization of an $h$-hemiregular hemiring in terms of a fuzzy $h$-ideal is provided. Some properties of prime fuzzy $h$-ideals of $h$-hemiregular hemirings are investigated.
Aho   +22 more
core   +2 more sources

Fuzzy Prime Ideals of ADL's

open access: yesInternational Journal of Computing Science and Applied Mathematics, 2018
In this paper the concept of prime L-fuzzy ideals and L-fuzzy prime ideals of an ADL A with truth values in a complete lattice L satisfying the infinite meet distributive law are introduced. All prime L-fuzzy ideals of a given ADL A are determined by establishing a one-to- one correspondence between prime L-fuzzy ideals of an ADL A and the pairs (P;a),
Ch. Santhi Sundar Raj   +2 more
openaire   +2 more sources

Fuzzy prime ideals of rings

open access: yesJournal of Mathematical Analysis and Applications, 1988
Fuzzy ideals were introduced by \textit{W. J. Liu} [Fuzzy Sets Syst. 8, 133--139 (1982; Zbl 0488.20005); cf. also \textit{S. Sessa}, ibid. 13, 95--100 (1984; Zbl 0568.20004)]. The paper characterizes L-fuzzy prime ideals and L-fuzzy maximal ideals of a given ring by formulas depending on crisp ideals of this ring.
Swamy, U.M, Swamy, K.L.N
openaire   +2 more sources

Fuzzy Spectral Spaces and Fuzzy Congruences of a Heyting ADL

open access: yesJournal of Mathematics, 2023
In this paper, the space Fp of fuzzy prime ideals of Heyting almost distributive lattice H is studied, and it is shown that the collection of all sets Mη is a topology on Fp, where η is a fuzzy ideal on H and Mη=θ∈Fp|η⊈θ.
Yeshiwas Mebrat Gubena   +1 more
doaj   +1 more source

ℒ-Fuzzy Ideals of Residuated Lattices

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2019
This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion
Kengne Pierre Carole   +3 more
doaj   +1 more source

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