• Communications of the Korean Mathematical Society
• /
• v.9 no.3
• /
• pp.513-519
• /
• 1994

Endomorphism rings of Aritinian modules need not be semiperfect by a result of Camps and Mena [4], which answers in the negative to a question of Crawley and Jonsson[5]. However it was shown by Camps and Dicks[3] that endomorphism rings of a certain class of Artinian modules, we investigate some interesting structures of endormorphism rings of CS-modules.

• Communications of the Korean Mathematical Society
• /
• v.31 no.3
• /
• pp.433-445
• /
• 2016

In the present paper, we expand the domain of work on the concept of semiderivations in 3-prime near-rings through the study of structure and commutativity of near-rings admitting semiderivations satisfying certain differential identities. Moreover, several examples have been provided at places which show that the assumptions in the hypotheses of various theorems are not altogether superfluous.

• Communications of the Korean Mathematical Society
• /
• v.17 no.3
• /
• pp.409-422
• /
• 2002

We investigate the relationship between various generalizations of von Neumann regularity condition and the condition that every prime ideal is maximal in exchange rings.

• Communications of the Korean Mathematical Society
• /
• v.23 no.2
• /
• pp.161-167
• /
• 2008

A ring R is called an $I_0$-ring if each left ideal not contained in the Jacobson radical J(R) contains a non-zero idempotent. If, in addition, idempotents can be lifted modulo J(R), R is called an I-ring or a potent ring. We study whether these properties are inherited by some related rings. Also, we investigate the structure of potent rings.

• Communications of the Korean Mathematical Society
• /
• v.28 no.3
• /
• pp.463-480
• /
• 2013

We in this note introduce a concept, so called nil generalized power serieswise Armendariz ring, that is a generalization of both S-Armendariz rings and nil power serieswise Armendariz rings. We first observe the basic properties of nil generalized power serieswise Armendariz rings, constructing typical examples. We next study the relationship between the nilpotent property of R and that of the generalized power series ring [[$R^{S,{\leq}}$]] whenever R is nil generalized power serieswise Armendariz.

• Journal of applied mathematics & informatics
• /
• v.28 no.3_4
• /
• pp.1017-1023
• /
• 2010

We prove that a maximal ideal M of D[x] has two generators and is of the form where p is an irreducible element in a PID D having infinitely many nonassociate irreducible elements and q(x) is an irreducible non-constant polynomial in D[x]. Moreover, we find how minimal generators of maximal ideals of a polynomial ring D[x] over a DVR D consist of and how many generators those maximal ideals have.

• Kyungpook Mathematical Journal
• /
• v.48 no.4
• /
• pp.545-551
• /
• 2008

Necessary and sufficient conditions for a radical class of rings to satisfy the polynomial equation $\rho$(R[x]) = ($\rho$(R))[x] have been investigated. The interrelationsh of polynomial equation, Amitsur property and polynomial extensibility is given. It has been shown that complete analogy of R.E. Propes result for radicals of matrix rings is not possible for polynomial rings.

• Kyungpook Mathematical Journal
• /
• v.48 no.4
• /
• pp.651-663
• /
• 2008

In this paper, we first study some characterizations of left MC2 rings. Next, by introducing left nil-injective modules, we discuss and generalize some well known results for a ring whose simple singular left modules are Y J-injective. Finally, as a byproduct of these results we are able to show that if R is a left MC2 left Goldie ring whose every simple singular left R-module is nil-injective and GJcp-injective, then R is a finite product of simple left Goldie rings.

• Journal of The Korean Astronomical Society
• /
• v.34 no.4
• /
• pp.261-263
• /
• 2001

Numerical simulations based on the smoothed particle hydrodynamics (SPH) is performed to investigate the dynamical properties of barred galaxies that have nuclear rings. The nuclear ring morphology depends on the relative strength of bar potentials. Nuclear rings form between the two ILRs and align perpendicular to the bars unless the bar potentials are strong enough to allow the x1 orbits near the ILRs. Shock dissipation plays a critical role in the formation of nuclear rings.

• East Asian mathematical journal
• /
• v.28 no.3
• /
• pp.281-285
• /
• 2012

In this paper, the concept of *-prime ideals in non-associative near-rings is introduced and then will be studied. For this purpose, first we introduce the notions of *-operation, *-prime ideal and *-system in a near-ring. Next, we will define the *-sequence, *-strongly nilpotent *-prime radical of near-rings, and then obtain some characterizations of *-prime ideal and *-prime radical $r_s$(I) of an ideal I of near-ring N.