Results 21 to 30 of about 730,391 (289)
Prime Ideal, Semiprime Ideal, and Radical of an Ideal of an L-Subring
Fuzzy 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
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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 +1 more
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Prime i-Ideals in Ordered n-ary Semigroups
Mathematics, 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
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Prime ideal on the end_Z (Z^n ) Ring
Al-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
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Prime ideal graphs of commutative rings
Indonesian Journal of Combinatorics, 2022 Let R be a finite commutative ring with identity and P be a prime ideal of R. The vertex set is R - {0} and two distinct vertices are adjacent if their product in P. This graph is called the prime ideal graph of R and denoted by ΓP.
Haval Mohammed Salih, Asaad A. Jund
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Note on distributive posets [PDF]
, 2012 In this note we study distributive posets. We discuss several notions of distributivity in posets and show their equivalence. Moreover, the Prime Ideal Theorem for Distributive Posets is shown to be equivalent with the famous Prime Ideal Theorem for ...
Paseka, Jan
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Some Basic Properties of Prime and Left Prime Ideals in Γ-Left Almost Rings
Walailak 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
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Examples of non-Noetherian domains inside power series rings [PDF]
, 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
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The Ideal Over Semiring of the Non-Negative Integer
JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Assumed that (S,+,.) is a semiring. Semiring is a algebra structure as a generalization of a ring. A set I⊆S is called an ideal over semiring S if for any α,β∈I, we have α-β∈I and sα=αs∈I for every s in semiring S.
Aisyah Nur Adillah +3 more
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On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics [PDF]
, 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
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