Results 11 to 20 of about 946,836 (282)

Quasi-ideals of Leibniz algebras [PDF]

Communications in Algebra, 2020
A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] \subseteq H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L. Quasi-ideals of Lie algebras were classified in two remarkable papers of Amayo. The objective here is to extend those results to the larger class of Leibniz algebras, and to
Towers, David
core   +7 more sources

On Quasi-ideals and Bi-ideals in AG-Rings [PDF]

International Journal of Analysis and Applications, 2023
In this paper we study some properties of quasi-ideals and bi-ideals in AG-ring and study some interesting properties of these ideals.
Tanaphong Prommai, Thiti Gaketem
doaj   +2 more sources

On fuzzy quasi-prime ideals in near left almost rings [PDF]

Songklanakarin Journal of Science and Technology (SJST), 2019
In this investigation we studied fuzzy quasi-prime, weakly fuzzy quasi-prime, fuzzy completely prime and weakly fuzzy completely prime ideals in nLA-rings.
Pairote Yiarayong
doaj   +3 more sources

Ordered Quasi(BI)-Γ-Ideals in Ordered Γ-Semirings

Journal of Mathematics, 2019
In this paper, we have defined ordered quasi-Γ-ideals and ordered bi-Γ-ideals in ordered Γ-semirings by defining the relation “≤” in ordered Γ semiring S as a≤b if a+x=b for any a,b,x∈S.
Ali N. A. Koam, Azeem Haider, Moin A. Ansari   +2 more
doaj   +2 more sources

(λ,μ)-Fuzzy Version of Ideals, Interior Ideals, Quasi-Ideals, and Bi-Ideals

Journal of Applied Mathematics, 2012
We introduced (λ,μ)-fuzzy ideals, (λ,μ)-fuzzy interior ideals, (λ,μ)-fuzzy quasi-ideals, and (λ,μ)-fuzzy bi-ideals of an ordered semigroup and studied them. When λ=0 and μ=1, we meet the ordinary fuzzy ones.
Yuming Feng, P. Corsini
doaj   +2 more sources

\(Q_1\)- fuzzy quasi ideals in semiring

International Journal of Algebra and Statistics, 2017
 The authors in [9] introduced Q1 -fuzzy set which is a natural generalization Q-fuzzy sets studied by [5, 7, 12, 13] and studied some results related to level subsets of Q1 -fuzzy set. In this study composition of two Q1 -fuzzy sets, Q1 -fuzzy points, Q1 -fuzzy quasi (prime, semiprime, irreducible, strongly irreducible) ideals are defined and revealed
P. Murugadas, M. R. Thirumagal
openaire   +2 more sources

Graded Weakly Strongly Quasi-Primary Ideals over Commutative Graded Rings

Mathematics
In this article, we introduce and examine the concept of graded weakly strongly quasi primary ideals. A proper graded ideal P of R is said to be a graded weakly strongly quasi primary (shortly, Gwsq-primary) ideal if whenever 0≠xy∈P, for some homogeneous
Azzh Saad Alshehry, Rashid Abu-Dawwas, Basel Hawary   +2 more
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Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]

, 2002
For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels J.
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Characterizations of fuzzy M-Γ-hemirings [PDF]

Journal of Hyperstructures, 2013
In this paper, the concepts of M-fuzzy left h-ideals (right h-ideals, h-bi-ideals, h-quasi-ideals) in M-Γ-hemirings are introduced. Some new properties of these kinds of M-fuzzy hideals are also given.
Jianming Zhan, Deng Pan
doaj   +1 more source

Generators of maximal left ideals in Banach algebras [PDF]

, 2012
In 1971, Grauert and Remmert proved that a commutative, complex, Noetherian Banach algebra is necessarily finite-dimensional. More precisely, they proved that a commutative, complex Banach algebra has finite dimension over C whenever all the closed ...
Dales, H.G., Zelazko, W.
core   +4 more sources