Results 11 to 20 of about 2,642,513 (283)

Primary Ideals and Valuation Ideals [PDF]

Transactions of the American Mathematical Society, 1965
Introduction. Let D be an integral domain with identity. In [2], Gilmer and Ohm considered the problem of characterizing domains D such that the set &2(D) of primary ideals of D is a subset of the set Y"(D) of valuation ideals of D. If the ascending chain condition (a.c.c.) for prime ideals holds in D, then &2(D) ' Y"(D) if and only if D is a Prilfer ...
Gilmer, R., Ohm, J.
openaire   +2 more sources

Generalizations of prime fuzzy ideals of a lattice [PDF]

Journal of Hyperstructures, 2020
As a generalization of the concepts of a fuzzy prime ideal and a prime fuzzy ideal, the concepts of a fuzzy 2-absorbingideal and a 2-absorbing fuzzy ideal of a lattice are introduced. Some results on such fuzzy ideals are proved.
Yogita Subhash Patil, Shriram Khanderao Nimbhorkar   +1 more
doaj   +1 more source

Some notes on graded weakly 1-absorbing primary ideals

Demonstratio Mathematica, 2023
A proper graded ideal PP of a commutative graded ring RR is called graded weakly 1-absorbing primary if whenever x,y,zx,y,z are nonunit homogeneous elements of RR with 0≠xyz∈P0\ne xyz\in P, then either xy∈Pxy\in P or zz is in the graded radical of PP. In
Alshehry Azzh Saad, Abu-Dawwas Rashid, Al-Rashdan Majd   +2 more
doaj   +1 more source

Graded weakly 1-absorbing primary ideals

Demonstratio Mathematica, 2023
Let GG be a group and RR be a GG-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded 1-absorbing primary ideal.
Bataineh Malik, Abu-Dawwas Rashid
doaj   +1 more source

Framing the Identity of an Ideal Primary School Teacher of English [PDF]

English Studies at NBU, 2020
The article presents a study that aimed to examine how primary school teachers of English as a Foreign Language (EFL) framed the identity of an ideal EFL teacher.
Oleksandr Kapranov
doaj   +1 more source

On 1-absorbing δ-primary ideals

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Let R be a commutative ring with nonzero identity. Let 𝒥(R) be the set of all ideals of R and let δ : 𝒥 (R) → 𝒥 (R) be a function. Then δ is called an expansion function of ideals of R if whenever L, I, J are ideals of R with J ⊆ I, we have L ⊆ δ (L) and
Khalfi Abdelhaq El, Mahdou Najib, Tekir Ünsal, Koç Suat   +3 more
doaj   +1 more source

On Intuitionistic Fuzzy Primary Ideal of a Ring

Pan-American Journal of Mathematics, 2022
The purpose of this paper is to introduce and investigate primary ideal and P-primary ideal in the intuitionistic fuzzy environment and lay down the foundation for the primary decomposition theorem in the intuitionistic fuzzy setting.
P. K. Sharma
doaj   +1 more source

Characterizing the performance of continuous-variable Gaussian quantum gates [PDF]

, 2020
The required set of operations for universal continuous-variable quantum computation can be divided into two primary categories: Gaussian and non-Gaussian operations.
Sharma, Kunal, Wilde, Mark M.
core   +3 more sources

Some results on ideals via homomorphisms in BL-algebras [PDF]

Journal of Hyperstructures
In this paper, by considering the σ as a BL-homomorphism,we introduce the notion of σ-ideals in BL-algebras and obtain some new results about them. Also, while introducing the primary ideals in BL-algebras, we get some relationship between the primary ...
Fateme Alinaghian, Farhad Khaksar Haghani, Shahram Heidarian   +2 more
doaj   +1 more source

s-Hankel hypermatrices and 2 x 2 determinantal ideals [PDF]

, 2016
We introduce the concept of s-Hankel hypermatrix, which generalizes both Hankel matrices and generic hypermatrices. We study two determinantal ideals associated to an s-Hankel hypermatrix: the ideal I generated by certain 2 x 2 slice minors, and the ...
Sammartano, Alessio
core   +2 more sources