A GENERALIZATION OF NOETHERIAN RINGS Lixin Mao Throughout this paper, R is an
associative ring with identity and all modules are Page 1 TAIWANESE JOURNAL OF …

In this paper we study the notion of regular rings relative to right ideals, and we give another
characterization of these rings. Also, we introduce the concept of an annihilator relative to a …

In this paper we introduce the notion of strongly 0-prime ideals in near-rings similar to the
notion introduced in rings. We give some characterizations of a near-ring... whose unique …

Direct Product of Left Almost Rings Page 1 International Journal of Sciences: Basic and
Applied Research (IJSBAR) ISSN 2307-4531 (Print & Online) http://gssrr.org/index.php?journal=JournalOfBasicAndApplied …

A commutative ring N is said to be a Noetherian Regular δ-Near Ring if every prime ideal of
N is strongly prime. We say that a commutative Noetherian Near Ring N is Noetherian …

R is called a Baer ring if the left annihilator of every nonempty subset of R is a direct
summand of RR. R is said to be a left AFG ring in case the left annihilator of every nonempty …

Throughout this note, rings are associative rings with identity and modules are unitary
modules. Sometimes, we use the notation A%(resp. XA) to signify that the module X …

Introduction: All rings in this paper are associative and have an identity. All modules will be
daitary. Let R be any ring and M a left R-module. A submodule N of M is called essential if …

In this note we introduce a class of nil rings (called essentially nilpotent) which properly
contains the class of nilpotent rings. A nil ring is said to be essentially nilpotent if it contains …

For any cardinals α, we introduce the concepts of α-irreducible ideals and α-strongly
irreducible ideals in a ring, which are natural generalization of irreducible ideals [1] and …