• Honam Mathematical Journal
• /
• v.36 no.3
• /
• pp.605-622
• /
• 2014

We provide a minimal free resolution for a class of Gorenstein ideal of grade 4 which is the sum of an almost complete intersection J of grade 3 and a perfect ideal I of grade 3 with type 2 and ${\lambda}(I)$ > 0 geometrically linked by a regular sequence, where I is generated by odd elements.

• Communications of the Korean Mathematical Society
• /
• v.13 no.2
• /
• pp.217-224
• /
• 1998

In this paper we study the minimal resolution conjecture which is a generalization of the ideal generation conjecture. And we show how the results about this conjecture can make the calculation of minimal resolution in certain cases.

• Journal of applied mathematics & informatics
• /
• v.5 no.1
• /
• pp.269-275
• /
• 1998

We find the Hibert functions of basic configurations in $P^n$. In particular we obtain the minimal generators of the ideal of a weak-k-configuration in $P^n$.

• Bulletin of the Korean Mathematical Society
• /
• v.34 no.1
• /
• pp.35-42
• /
• 1997

Throughout this paper, all rings are assumed to be commutative with identity. By a local ring (R,m), we mean a Noetherian ring R which has a unique maximal ideal m. Let I be an ideal in a ring R and t an indeterminate over R.

• Bulletin of the Korean Mathematical Society
• /
• v.44 no.1
• /
• pp.151-156
• /
• 2007

A connection between weak ${\pi}-regularity$ and the condition every prime ideal is maximal will be investigated. We prove that a certain 2-primal ring R is weakly ${\pi}-regular$ if and only if every prime ideal is maximal. This result extends several known results nontrivially. Moreover a characterization of minimal prime ideals is also considered.

• Communications of the Korean Mathematical Society
• /
• v.13 no.1
• /
• pp.123-129
• /
• 1998

In this paper, we study some dynamical properties of a weakly almost periodic flow. In particular we get, in a weakly almost periodic flow (X,T), the groups I and A(I) of all automorphisms of I are isomorphic, where E(X) is the enveloping semigroup of (X,T) and I is the minimal right ideal in E(X).

• Communications of the Korean Mathematical Society
• /
• v.12 no.1
• /
• pp.135-144
• /
• 1997

The purpose of this paper is to find all $K_1$ -minimal ideals of a sandwich semigroup of closed functions.

• East Asian mathematical journal
• /
• v.18 no.1
• /
• pp.15-20
• /
• 2002

We study the relationships between strongly prime ideals and completely prime ideals, concentrating on the connections among various radicals(prime radical, upper nilradical and generalized nilradical). Given a ring R, consider the condition: (*) nilpotent elements of R form an ideal in R. We show that a ring R satisfies (*) if and only if every minimal strongly prime ideal of R is completely prime if and only if the upper nilradical coincides with the generalized nilradical in R.

• Kyungpook Mathematical Journal
• /
• v.46 no.2
• /
• pp.261-271
• /
• 2006

In this paper, we investigate and characterize the class of A-semirings. A characterization of the Thierrin radical of a proper ideal of an A-semiring is given. Moreover, when P is a Q-ideal in the semiring R, it is shown that P is primary if and only if R/P is nilpotent.

• Kyungpook Mathematical Journal
• /
• v.57 no.3
• /
• pp.385-391
• /
• 2017

In this paper, we study the notion of $z^J$ - ideals of posets and explore the various properties of $z^J$-ideals in posets. The relations between topological space on Sspec(P), the set $I_Q=\{x{\in}P:L(x,y){\subseteq}I\text{ for some }y{\in}P{\backslash}Q\}$ for an ideal I and a strongly prime ideal Q of P and $z^J$-ideals are discussed in poset P.