Results 11 to 20 of about 729,819 (318)

On Neutrosophic Soft Prime Ideal [PDF]

open access: yesNeutrosophic Sets and Systems, 2018
The motivation of the present paper is to extend the concept of neutrosophic soft prime ideal over a ring. In this paper the concept of neutrosophic soft completely prime ideals, neutrosophic soft completely semi-prime ideals and neutrosophic soft prime ...
Tuhin Bera, Nirmal Kumar Mahapatra
doaj   +1 more source

Prime Ideal, Semiprime Ideal, and Radical of an Ideal of an L-Subring

open access: yesFuzzy Information and Engineering, 2023
In this paper, we develop a systematic theory for the ideals of an L-ring L(μ, R). We introduce the concepts of a prime ideal, a semiprime ideal, and the radical of an ideal in an L-ring. The notion of a maximal ideal has been introduced and discussed in
Anand Swaroop Prajapati   +2 more
doaj   +1 more source

Near Prime Spectrum

open access: yesJournal 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   +1 more
doaj   +1 more source

On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics [PDF]

open access: yes, 2012
In this paper we study commutative rings $R$ whose prime ideals are direct sums of cyclic modules. In the case $R$ is a finite direct product of commutative local rings, the structure of such rings is completely described. In particular, it is shown that
Behboodi, Mahmood   +1 more
core   +3 more sources

Examples of non-Noetherian domains inside power series rings [PDF]

open access: yes, 2014
Let R* be an ideal-adic completion of a Noetherian integral domain R and let L be a subfield of the total quotient ring of R* such that L contains R. Let A denote the intersection of L with R*.
Heinzer, William   +2 more
core   +3 more sources

Prime i-Ideals in Ordered n-ary Semigroups

open access: yesMathematics, 2021
We study the concept of i-ideal of an ordered n-ary semigroup and give a construction of the i-ideal of an ordered n-ary semigroup generated by its nonempty subset.
Patchara Pornsurat   +2 more
doaj   +1 more source

Prime ideal on the end_Z (Z^n ) Ring

open access: yesAl-Jabar, 2022
The set of all endomorphisms over -module  is a non-empty set denoted by . From  we can construct the ring of  over addition and composition function. The prime ideal is an ideal which satisfies the properties like the prime numbers.
Zakaria Bani Ikhtiyar   +2 more
doaj   +1 more source

Intersections of essential minimal prime ideals [PDF]

open access: yes, 2013
Let $\mathcal{Z(R)}$ be the set of zero divisor elements of a commutative ring $R$ with identity and $\mathcal{M}$ be the space of minimal prime ideals of $R$ with Zariski topology. An ideal $I$ of $R$ is called strongly dense ideal or briefly $sd$-ideal
Taherifar, A.
core   +2 more sources

Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings

open access: yesWalailak Journal of Science and Technology, 2018
The purpose of this paper is to introduce the notion of prime and left prime ideals in Γ-LA-rings. Some characterizations of prime, left prime, and weakly left ideals are obtained.
Pairote YIARAYONG
doaj   +1 more source

Binomial Difference Ideal and Toric Difference Variety [PDF]

open access: yes, 2015
In this paper, the concepts of binomial difference ideals and toric difference varieties are defined and their properties are proved. Two canonical representations for Laurent binomial difference ideals are given using the reduced Groebner basis of Z[x ...
Gao, Xiao-Shan   +2 more
core   +1 more source

Home - About - Disclaimer - Privacy