left ideal
On Regular Hypersemigroups
... ⇐ =. Let A be a right ideal and B a left ideal of S. By Lemma 3, A ∩ B is a quasi-ideal of S. By hypothesis, we have A ∩ B = (A ∩ B) ∗ (A ∩ B) ⊆ A ∗ B, B ∗ A. Since A ∩ B ⊆ A ∗ B, by Lemma 4, ...
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Finitely generated left ideals in Banach algebras on groups and semigroups
... maximal left ideal in A. The algebra A has a proper, dense left ideal B ...a left ideal, this forces I ⊂ B , and hence I = B by the maximality of ...
36
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 ...
10
Left 𝑊𝑀𝐶2 Rings
... of left WMC2 rings and concern ourselves with rings containing an injective maximal left ...for left idempotent reflexive rings and left HI rings can be extended to left WMC2 ...regular ...
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On ordered hypersemigroups with idempotent ideals, prime and weakly prime ideals
... right ideal and B a left ideal of H, we have A ∩ B 6= ...right ideal of H. Similarly, A ∩ B is a left ideal of H and so it is an ideal of ...
13
Some Notes on Semiabelian Rings
... we have eR1 − e 0. Since R is idempotent reversible, 1 − eRe 0. So e is central. Now let L be any proper essential left ideal of R and f : L → N any non-zero left R-homomorphism. Then L/U ∼ N, where ...
11
A radical for right near rings: The right Jacobson radical of type 0
... an ideal of ...prime ideal of R by Theorem ...(left) ideal K and is right (left) modular by the ...largest ideal of R contained in K. Therefore, { 0 } is a right (left) ...
13
Banach spaces of pseudomeasures on compact groups with emphasis on homogeneous spaces
... LlG It is proved that the closed two-sided and closed left ideal theory of a homogeneous convolution Banach algebra the same as that of one of the homogeneous subalgebras of 0ver, an exp[r] ...
198
Ideals in CA AG groupoids
... 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 ideals ...
20
Generalised interval-valued fuzzy ideals and filters in ordered semigroups
... fuzzy left ideal, interval-valued fuzzy right ideal, interval-valued fuzzy generalised bi-ideal and interval-valued fuzzy bi-ideal and -implication based interval-valued fuzzy ...
35
On quasi ideals and bi ideals in ternary semirings
... lateral ideal of S. We will show that M is a minimal ideal of ...lateral ideal of S and SmS + SSmSS ⊆ SMS+ SSMSS ⊆ ...right ideal and left ideal of S. Consequently, M is an ...
9
Intuitionistic fuzzy strong bi ideals of near rings
... fuzzy ideal of a ring. ring, fuzzy ideal and fuzzy N- ring was introduced by Salah Abou-Zaid and it has been studied by several authors (Kyung Ho Kuyng Ho Kim and Young Narayanan, 2002; ...fuzzy left ...
7
$(\lambda, \mu)$ Fuzzy Ideals in Ordered Ternary Semigroups
... (respectively left ideal, right ideal, lateral ideal, bi-ideal, interior ideal, quasi-ideal) in an ordered ternary semigroups is ...(respectively left ideal, ...
10
On Fuzzy Sets in Hypersemigroups
... fuzzy left (resp. fuzzy right) duo. In a regular hypersemigroup, every bi-ideal is a right ...(resp. left) ideal if and only if every fuzzy bi-ideal is a fuzzy right ...fuzzy ...
13
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. ...
109
LA-Noetherian in a Generalized LA-Ring
... The concept of Right Almost semigroup, Left Almost semigroup and Almost semigroup was introduced by M. A. Kazim and M. Naseeruddin [2] in 1972. A groupoid G is said to be a Right Almost semigroup (abbreviated as ...
6
Ideal Multilinear Maps Based on Ideal Lattices
... One line of work focused on new constructions of multilinear maps. Following the GGH framework, the second candidate construction of multilinear maps was presented by Coron, Lepoint, and Tibouchi (CLT) [CLT13]. The CLT ...
22
Almost Bi-Γ-Ideals and Fuzzy Almost Bi-Γ-Ideals of Γ-Semigroups
... A bi-Γ-ideal in Γ-semigroups was sometimes called a bi-ideal (see [14]). Some general- izations of this ideal were studied in [2] and [16]. Recently, Wattanatripop and Changphas first studied the ...
11
On Jordan ideals and left (θ,θ) derivations in prime rings
... 3. Left derivation on Jordan ideal of a prime ...Jordan left derivation on a Lie ideal U of R forces that either U ⊆ Z(R) or δ(U ) = ...Jordan left (θ, θ)-derivation which acts on a ...
8
Vol 6, No 7 (2018)
... from ideal to left, increasing the multiplicand by the single piece of the multiplier and moving the middle of the road item one position to one side of the prior moderate ...
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