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Near Prime Spectrum

Journal of Kufa for Mathematics and Computer, 2013
Let  be a commutative ring with identity . It is well known that a topology was defined for  called the Zariski topology (prime spectrum) . In this paper we will generalize this idea for near prime ideal . If  be a commutative near-ring with identity
Hadi J Mustafa, Ameer Mohammad-Husain Hassan   +1 more
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The Fuzzy Prime Spectrum of Partially Ordered Sets

International Journal of Mathematics and Mathematical Sciences, 2023
We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets.
Derso Abeje Engidaw, Gezahagne Mulat Addis, Wondwosen Zemene Norahun, Dereje Kifle Boku, Habtu Bayafers Demrew, Tewodros Argachew Degefa   +5 more
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The prime spectrum of a BCI-algebra [PDF]

Journal of Mahani Mathematical Research
The aim of the present paper is to define the prime spectrum of a BCI-algebra as a generalization of prime spectrum BCK-algebras with respect to prime ideals.
Ardavan Najafi, Arsham Borumand Saeid
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M− Prime Ideals in Lattices and Their M− Prime Spectrum

International Journal of Mathematics and Mathematical Sciences
In this paper, we explore various characteristics and attributes of M− prime ideals, minimal M− prime ideals, and weakly M− prime ideals in a lattice. We demonstrate that the image and inverse image of an M− prime ideal (or weakly M− prime ideal) also ...
Natnael Teshale Amare
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Prime Spectrum of the Ring of Adeles of a Number Field

Mathematics, 2022
Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Semidegenerate Congruence-modular Algebras Admitting a Reticulation

Scientific Annals of Computer Science, 2023
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
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Existentially prime Jonsson quasivarieties and their Jonsson spectra [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
This article is devoted to the study of Jonsson quasivarieties in a signature enriched with new predicate and constant symbols. New concepts of semantic Jonsson quasivariety and fragment-conservativeness of the center of the Jonsson theory are ...
A. R. Yeshkeyev, I. O. Tungushbayeva, S. M. Amanbekov   +2 more
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Spectra and reticulation of semihoops

Open Mathematics, 2022
In this article, we further study the filter theory of semihoops. Moreover, we use the prime (maximal) filters to construct the prime (maximal) spectrum on semihoops, and prove that the prime spectrum is a compact T0{T}_{0} topological space and that the
Tang Yu Jie, Xin Xiao Long, Zhou Xin
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The prime and maximal spectra and the reticulation of residuated lattices with applications to De Morgan residuated lattices

Open Mathematics, 2020
In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
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Reticulation of Quasi-commutative Algebras [PDF]

Journal of Mahani Mathematical Research, 2023
The commutator theory, developed by Fresee and McKenzie in the framework of a congruence-modular variety $\mathcal{V}$, allows us to define the prime congruences of any algebra $A\in \mathcal{V}$ and the prime spectrum $Spec(A)$ of $A$.
G. Georgescu
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