Results 111 to 120 of about 475 (152)

Characterization of Gamma Hemirings by Generalized Fuzzy Gamma Ideals

open access: yes, 2015
This paper has explored theoretical methods of evaluation in the identification of the boundedness of the generalized fuzzy gamma ideals. A functional approach was used to undertake a characterization of this structure leading to a determination of some ...
Shahzad, Muhammad   +3 more
core  

On weakly semiprime ideals in noncommutative ring

open access: yesGulf Journal of Mathematics
We extend the concept of weakly semiprime ideals, originally defined by A. Badawi for commutative rings, to the noncommutative setting. We define a proper ideal I of a noncommutative ring R to be weakly semiprime if for any a ∈ R, 0 ≠ aRa ⊆ I implies a ∈ I.
openaire   +1 more source

Fuzzy Γ-ideals in Γ-AG-groupoids

open access: yes, 2014
In this paper we study fuzzy Γ-ideals and prime, semiprime fuzzy Γ-ideals of a Γ-AG-groupoid S. We prove that, if S is a Γ-AG-groupoid with left identity, then every fuzzy Γ-ideal of S is idempotent if and only if every fuzzy Γ-ideal of S is semiprime ...
Tariq Shah, Inayatur-Rehman, Asghar Khan
core  

FUZZY PRIME AND SEMIPRIME S-SUBACTS OVER MONOIDS

open access: yes
In this paper, we introduce the notions of fuzzy prime and fuzzy semiprime S-subacts, where S is a monoid with a zero and S-acts are representations of S.
M. SHABIR, J. AHSAN, K. SAIFULLAH
core  

Some results on irreducible ideals of monoids

open access: yes
The purpose of this note is to study some algebraic properties of irreducible ideals of monoids. We establish relations between irreducible, prime, and semiprime ideals. We explore some properties of irreducible ideals in local, Noetherian, and Laskerian
Goswami, Amartya
core  

Factoring Ideals into Semiprime Ideals

open access: yesCanadian Journal of Mathematics, 1978
Let D be an integral domain with 1 ≠ 0 . We consider “property SP” in D, which is that every ideal is a product of semiprime ideals. (A semiprime ideal is equal to its radical.) It is natural to consider property SP after studying Dedekind domains, which involve factoring ideals into prime ideals.
Vaughan, N. H., Yeagy, R. W.
openaire   +3 more sources

Semiprime Ideals and Separation Theorems for Posets

Order, 2008
Let \(P\) be a poset and let \(A\) be a subset of \(P\). Define \(A^{u}:=\{x\in P : x\geq a \text{ for every } a\in A\}\). Dually define \(A^{l}:=\{x\in P : x\leq a \text{ for every } a\in A\}\). Then \(A^{ul}\) means \(\{A^{u}\}^l\) and \(A^{lu}\) means \(\{A^{l}\}^u\). A subset \(I\) of \(P\) is called an ideal if \(a,b\in I\) implies that \(\{a,b\}^{
Vilas S. Kharat, Khalid A. Mokbel
exaly   +3 more sources

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