Results 21 to 30 of about 1,329,079 (242)
On I-quotient mappings and I-cs'-networks under a maximal ideal
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
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On the Monoid of Unital Endomorphisms of a Boolean Ring
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
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ℒ-Fuzzy Ideals of Residuated Lattices
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
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Ideal based graph structures for commutative rings
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
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Maximal divisorial ideals and t-maximal ideals
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
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A characterization of regular maximal ideals [PDF]
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
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Levi Decomposition of Frobenius Lie Algebra of Dimension 6
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
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On ideal theory of hoops [PDF]
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
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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
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Constructive Notions of Maximality for Ideals [PDF]
JUCS - Journal of Universal Computer Science Volume Nr.
Bridges,Douglas, Havea,Robin
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