Results 21 to 30 of about 1,329,079 (242)

On I-quotient mappings and I-cs'-networks under a maximal ideal

open access: yesApplied General Topology, 2020
Let I be an ideal on N and f : X → Y be a mapping. f is said to be an I-quotient mapping provided f−1(U) is I-open in X, then U is I-open in Y . P is called an I-cs′-network of X if whenever {xn}n∈N is a sequence I-converging to a point x ∈ U with U open
Xiangeng Zhou
doaj   +1 more source

On the Monoid of Unital Endomorphisms of a Boolean Ring

open access: yesAxioms, 2021
Let X be a nonempty set and P(X) the power set of X. The aim of this paper is to provide an explicit description of the monoid End1P(X)(P(X)) of unital ring endomorphisms of the Boolean ring P(X) and the automorphism group Aut(P(X)) when X is finite ...
Bana Al Subaiei, Noômen Jarboui
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

Ideal based graph structures for commutative rings

open access: yesCubo, 2022
We introduce a graph structure $\gamrr$ for commutative rings with unity. We study some of the properties of the graph $\gamrr$. Also we study some parameters of $\gamrr$ and find rings for which $\gamrr$ is split.
M. I. Jinnah, Shine C. Mathew
doaj   +1 more source

Maximal divisorial ideals and t-maximal ideals

open access: yes, 2003
We give conditions for a maximal divisorial ideal to be t-maximal and show with examples that, even in a completely integrally closed domain, maximal divisorial ideals need not be t-maximal.
GABELLI, Stefania, ROITMAN MOSHE
openaire   +4 more sources

A characterization of regular maximal ideals [PDF]

open access: yesPacific Journal of Mathematics, 1969
We show that if A is generated by a single element then a closed subspace M of codimension one in A and satisfying (1) is a regular maximal ideal and we show by an example that this result may fail for an algebra which is generated two elements. We have results related to the above, which can be applied to Lι(G), where G is a locally compact abelian ...
Warner, C. Robert, Whitley, Robert
openaire   +2 more sources

Levi Decomposition of Frobenius Lie Algebra of Dimension 6

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
In this paper, we study notion of the Lie algebra  of dimension 6. The finite dimensional Lie algebra can be expressed in terms of decomposition between Levi subalgebra and the maximal solvable ideal.
Henti Henti, Edi Kurniadi, Ema Carnia
doaj   +1 more source

On ideal theory of hoops [PDF]

open access: yesMathematica Bohemica, 2020
In this paper, we define and characterize the notions of (implicative, maximal, prime) ideals in hoops. Then we investigate the relation between them and prove that every maximal implicative ideal of a $\vee$-hoop with double negation property is a prime
Mona Aaly Kologani, Rajab Ali Borzooei
doaj   +1 more source

Commutative Bezout domains in which any nonzero prime ideal is contained in a finite set of maximal ideals

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
We investigate   commutative Bezout domains in which any nonzero prime  ideal is contained in a finite set of maximal ideals. In particular, we have described the class of such rings, which are  elementary divisor rings.
B.V. Zabavsky, O.M. Romaniv
doaj   +1 more source

Constructive Notions of Maximality for Ideals [PDF]

open access: yesJ. Univers. Comput. Sci., 2008
JUCS - Journal of Universal Computer Science Volume Nr.
Bridges,Douglas, Havea,Robin
openaire   +3 more sources

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