IFP near-rings Page 1 J. Austral. Math. Soc. {Series A) 27 (1979), 365-370 IFP NEAR-RINGS
D. RAMAKOTAIAH and G. KOTESWARA RAO (Received 21 February; revised 3 August 1978) …

In this paper, we prove some basic properties of left weakly regular near-rings. We give an
affirmative answer to the question whether a left weakly regular near-ring with left unity and …

The present paper yelds a generalisation to near-rings of MAROSCIA's results for unitary
commutative rings whose proper ideals are prime ones. A zero-symmetric near-ring with at …

In this paper we introduce the notion of P-strongly regular near-ring. We have shown that a
zero-symmetric near-ring N is P-strongly regular if and only if N is P-regular and P is a …

Let I be a proper ideal of a commutative ring R. An element a∈ R is called almost prime to I
provided that ra∈ I− I2 (with r∈ R) implies that r∈ I. We denote by A (I) the set of all …

Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper,
we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime …

Let R be a commutative ring with non-zero identity. We say that an element a€ R is weakly
prime to an ideal I of R if 0^ ra€ I (r£ R) implies that r£ I. If I is a proper ideal of R and w (I) is …

On minimal strongly prime ideals Page 1 COMMUNICATIONS IN ALGEBRA, 28(10), 48674878
(2000) ON MINIMAL STRONGLY PRIME IDEALS Chan Yong Hong Department of Mathematics …

In the paper, we introduce the notion of strongly P-regular near-rings. We have displayed
that a near-ring N is strongly P-regular if and only if it is also regular. A near-ring N is called …