right (left) ideal
Some properties of linear right ideal nearrings
... 1. Introduction. The nearrings considered here are right nearrings. For in- formation about abstract nearrings, one may consult [1, 4, 5]. An n-dimensional Euclidean nearring is any topological nearring whose ...
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Linear right ideal nearrings
... i = 1 which are also right ideals of the nearring satisfying several additional properties. Specifically, for each w ∈ ᏺ n , we require that there exist w i ∈ J i , 1 ≤ i ≤ n, such that w = w 1 + w 2 + ··· + w n ...
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$(\lambda, \mu)$ Fuzzy Ideals in Ordered Ternary Semigroups
... interior ideal of T, f ( xaxyz ) ∨ λ ≥ f ( x ) ∧ ...-fuzzy right ideal of ...left ideal of T and f is a ( λ, µ ) -fuzzy lateral ideal of ...-fuzzy ideal of ...
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Fuzzy quantic nuclei and conuclei with applications to fuzzy semi-quantales and (L, M)-quasi-fuzzy topologies
... The aim of this paper is to introduce and study the notions of M-fuzzy quantic nuclei and conuclei on quantales. Firstly, the concept of an M-fuzzy quantic nuclei is introduced and some of its properties are discussed. ...
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On Quasi-Ideals of $\Gamma$-semihyperrings
... left ideal of R we have eΓL ⊆ L and eΓL ⊆ eΓR implies eΓL ⊆ L ∩ ...left ideal and x ∈ ...left ideal and eΓR is a right ideal of R, we get L ∩ (eΓR) is a quasi-ideal of R by ...
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On Regular Hypersemigroups
... Proof First of all, since A is a right ideal and B is a left ideal of S, the intersection A ∩ B is nonempty. Indeed: Take an element a ∈ A and an element b ∈ B (A, B 6= ∅); then a ◦ b ⊆ A ∗ B ⊆ A ∗ S ...
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FUZZY STRONG BI-IDEALS OF NEAR-RINGS
... fuzzy ideal of a ring. The notions of fuzzy sub near-ring, fuzzy ideal and fuzzy N- subgroup of a near-ring were introduced by Salah Abou-Zaid [11] and it has been studied by several ...bi- ideal of ...
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On Fuzzy Sets in Hypersemigroups
... (resp. right) duo if and only if it is fuzzy left (resp. fuzzy right) ...a right (resp. left) ideal if and only if every fuzzy bi-ideal is a fuzzy right ...left) ideal. In ...
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Ideals in CA AG groupoids
... (i) right ideal implies left ideal and vice versa, (ii) for two ideals M and N of S, (a) M N is an ideal and (b) M N and N M are connected ...every ideal of S is prime and the set of ...
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Generalized Baer rings
... every right (left) annihilator ideal is generated by an ...the right annihilator of every right ideal is generated (as a right ideal) by an ...principal right ...
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IDEALS IN SEMIRING WITH INVOLUTION
... (resp. right) ideal of R if a + b ∈ I, ra ∈ I ...and right ideal of R, then I is called an ideal of ...an ideal I of R is said to be ∗-ideal if I ∗ ⊆ ...sided ideal ...
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On quasi ideals and bi ideals in ternary semirings
... Proof. Let R be a right ideal, M be a lateral ideal, and L be a left ideal of S such that Q = R ∩ M ∩ L. Then, by Lemmas 3.3 and 3.7, we find that Q is a quasi-ideal of S. The converse ...
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Fuzzy filters in ordered $\Gamma$-semirings
... (right) ideal of an ordered Γ−semiring M if A is closed under addition, M ΓA ⊆ A (AΓM ⊆ A) and if for any a ∈ M, b ∈ A, a ≤ b ⇒ a ∈ ...an ideal of M if it is both a left ideal and a ...
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On some classes of modules and their endomorphism rings
... this trivial case, every maximal right ideal and maximal left ideal of S is two-sided. Rings in which all maximal right ideals and maximal left ideals are two-sided are called quasi- duo. ...
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ON (e,evq)-anti Fuzzy Bi-ideals of Ordered Semigroup
... others. Due to these possibilities of applications, semigroups and related structures are presently extensively investigated in fuzzy settings (see e.g., monograph [18]). In particular (fuzzy) regular ordered semigroups, ...
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On H* (C{script}; k×) for fusion systems
... a right ideal in a fusion system F on a finite p-group P denote by S < (C) the full subcategory of all σ : [m] → C in S(C) such that for 0 ≤ i < j ≤ m ...
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A radical for right near rings: The right Jacobson radical of type 0
... Proof. Let G be a right R-group. Suppose that G is monogenic. Let g be a generator of G. Define h : R → G by h(r) = gr, for all r ∈ R. h is an R-homomorphism of R onto G. Let K be the kernel of h. K = { r ∈ R | ...
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A generalization of a theorem of Faith and Menal and applications
... a right Kasch ring if any simple right R-module is isomorphic to a minimal right ideal of ...is right Kasch if and only if every maximal right ideal of R is a right ...
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Products of derivations which act as Lie derivations on commutators of right ideals
... This note is motived by the previous cited results. Our main theorem gives a general- ization of Lanski’s result to the case when (dδ) is a Lie derivation of the subset [I,I ] into R, where I is a nonzero right ...
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Vol 8, No 12 (2017)
... Proof: If R is a primitive weakly standard ring, then it contains regular maximal right ideal E which contains no two- sided ideal of R other than zero ideal.. If A=0 then R is associat[r] ...
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