scholarly journals On Gamma LA-Rings and Gamma LA-Semirings

2021 ◽  
Vol 14 (3) ◽  
pp. 989-1001
Author(s):  
Waheed Ahmad Khan ◽  
Abdelghani Taouti ◽  
Azar Salami ◽  
Zahid Hussain
Keyword(s):  
Prime Ideals ◽  
Almost Prime

In this note, first we add some new results in Gamma LA-rings and then we initiate the notion of Γ-LA-semirings. Moreover, we introduce and discuss the terms left ideals, right ideals, bi-ideal, quasi ideals, almost prime and weakly almost prime ideals of a Γ-LA-semiring and their characterizations.

ZERO-DIVISOR GRAPHS WITH RESPECT TO ALMOST PRIME IDEALS

2016 ◽  
Vol 38 (2) ◽  
pp. 201-211
Author(s):  
Malik Bataineh ◽  
Rawan AbdelAziz
Keyword(s):  
Zero Divisor ◽  
Prime Ideals ◽  
Almost Prime

scholarly journals Almost Prime Ideal in Gamma Near Ring

2018 ◽  
Vol 11 (2) ◽  
pp. 449-456
Author(s):  
Waheed Ahmad Khan ◽  
Adnan Muhammad ◽  
Abdelghani Taouti ◽  
Jameel Maki
Keyword(s):  
Prime Ideal ◽  
Primary Ideal ◽  
Prime Ideals ◽  
Almost Prime

In this manuscript we introduce the notion of almost prime ideals in 􀀀-near-rings along with few of their characterizations. We also present the interesting relations among almost prime, prime and primary ideal in 􀀀-nearrings.

scholarly journals On a question about almost prime ideals

2016 ◽  
Vol 40 ◽  
pp. 620-623
Author(s):  
Esmaeil ROSTAMI ◽  
Reza NEKOOEI
Keyword(s):  
Prime Ideals ◽  
Almost Prime

Almost prime submodules

2018 ◽  
Vol 13 (01) ◽  
pp. 2050019
Author(s):  
Le Phuong Thao
Keyword(s):  
Prime Ideals ◽  
Prime Submodules ◽  
Associative Rings ◽  
Almost Prime ◽  
Weakly Prime Ideals

In this paper, we introduce the notion of almost prime submodules of a given right [Formula: see text]-module and study some properties of them as a generalization of weakly prime ideals in associative rings. We will also investigate modules in which every fully invariant submodule is almost prime.

N-ideals of commutative rings

Filomat ◽  
2017 ◽  
Vol 31 (10) ◽  
pp. 2933-2941 ◽  
Author(s):  
Unsal Tekir ◽  
Suat Koc ◽  
Kursat Oral
Keyword(s):  
Commutative Ring ◽  
Commutative Rings ◽  
Proper Ideal ◽  
Prime Ideals ◽  
Nonzero Identity

In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab ? I with a ? ?0, then b ? I for every a,b ? R. We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-ideals.

On minimal prime ideals of commutative Bezout rings

1999 ◽  
Vol 51 (7) ◽  
pp. 1129-1134
Author(s):  
B. V. Zabavskii ◽  
A. I. Gatalevich
Keyword(s):  
Prime Ideals ◽  
Minimal Prime

A note on prime ideals which test injectivity

1987 ◽  
Vol 15 (3) ◽  
pp. 471-478 ◽  
Author(s):  
John A. Beachy ◽  
William D. Weakley
Keyword(s):  
Prime Ideals
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