n-Ideals of Commutative Rings

U Tekir, S Koc, KH Oral - Filomat, 2017 - JSTOR
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 …

[引用][C] Noetherian regular rings

C JAYARAM, VL MANNEPALLI - Indian J. pure app]. Math, 1989

On a class of near-rings

C Santhakumari - Journal of the Australian Mathematical Society, 1982 - cambridge.org
It is well known that in a commutative Noetherian ring with identity every ideal has a
representation as a finite intersection of primary ideals. The object of the present paper is to …

On Fully Right Prime Ternary Rings and Their Algebraic Properties

Z Hasan - Full Length Article, 2023 - americaspg.com
ASPG Submit Your Paper Home Journals News About us Contact us 1.Home 2.Journals 3.Galoitica:
Journal of Mathematical Structures and Applications Galoitica: Journal of Mathematical …

A special class of near rings

S Ligh - Journal of the Australian Mathematical Society, 1974 - cambridge.org
A near ring is a triple (R,+,·) such that (R,+) is a group,(R,·) is a semigroup, and· is left
distributive over+; ie w (x+ z)= wx+ wz for each w, x, z in R. A normal subgroup K of a near …

On strongly quasi primary ideals

S Koc, U Tekir, G Ulucak - Bulletin of the Korean Mathematical …, 2019 - koreascience.kr
In this paper, we introduce strongly quasi primary ideals which is an intermediate class of
primary ideals and quasi primary ideals. Let R be a commutative ring with nonzero identity …

On rings containing a non-essential nil-injective maximal left ideal

J Wei, Y Qu - Kyungpook Mathematical Journal, 2012 - koreascience.kr
We investigate in this paper rings containing a non-essential $ nil $-injective maximal left
ideal. We show that if R is a left MC2 ring containing a non-essential $ nil $-injective …

[引用][C] Generalized regular near-rings

SC Choudhari, AK Goyal - Stud. Sci. Math. Hungar, 1982

[PDF][PDF] Quasiideals of a P-regular near-rings

P Dheena, S Manivasan - Int. J. Algebra, 2011 - academia.edu
In this paper, we show some characteristics of quasiideals of a P-regular near-ring and in
particular, we consider the representations of elements of quasiideals of a P-regular near …

On strongly regular rings

A Kaya, F KUZUCUOĞLU - Turkish Journal of Mathematics, 1996 - journals.tubitak.gov.tr
Some characterizations of strongly regular rings will be given. Let R be a ring and I (\neq R)
a right ideal of R. If, for each pair of right ideals A and B of R, AB\subseteq I implies that …