• Korean Journal of Mathematics
• /
• v.5 no.2
• /
• pp.135-139
• /
• 1997

We introduce the concepts of weakly prime and weakly semi-prime ideals in po-${\Gamma}$-semigroup and give some characterizations of weakly prime and weakly semi-prime ideals of po-${\Gamma}$-semigroups analogous to the characterizations of weakly prime and weakly semi-prime ideals of po-semigroups considered by N. Kehayopulu.

• Journal of the Korean Mathematical Society
• /
• v.50 no.6
• /
• pp.1183-1198
• /
• 2013

We will introduce and study the notion of prime bases for weakly prime submodules and utilize them to derive some formulas on the weak radical of submodules of a module. In particular, we will show that every one dimensional integral domain weakly satisfies the radical formula and state some necessary conditions on local integral domains which are semi-compatible or satisfy the radical formula and also on Noetherian rings which weakly satisfy the radical formula.

• Honam Mathematical Journal
• /
• v.21 no.1
• /
• pp.1-12
• /
• 1999

The height of a prime submodule and a module version of the Krull dimension are studied.

• 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.

• Journal of applied mathematics & informatics
• /
• v.34 no.3_4
• /
• pp.269-284
• /
• 2016

In this paper, we firstly use Krasnosel'skii fixed point theorem to investigate positive solutions for the following three-point boundary value problems for p-Laplacian with a parameter $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+{\lambda}f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1), λ > 0 is a parameter. Then we use Leggett-Williams fixed point theorem to study the existence of three positive solutions for the fractional boundary value problem $({\phi}_P(D^{\alpha}_{0}+u(t)))^{\prime}+f(t, u(t))=0$, 0$D^{\alpha}_{0}+u(0)=u(0)=u{\prime}{\prime}(0)=0$, $u^{\prime}(1)={\gamma}u^{\prime}(\eta)$ where ϕ_p(s) = |s|^p−2s, p > 1, $D^{\alpha}_{0^+}$ is the Caputo's derivative, α ∈ (2, 3], η, γ ∈ (0, 1).

• Journal of applied mathematics & informatics
• /
• v.39 no.5_6
• /
• pp.825-838
• /
• 2021

In this paper the concept of ordered fuzzy filters is introduced in Heyting almost distributive lattices and the properties of these ordered fuzzy filters are studied. We characterized and proved a set of theorems of ordered fuzzy filters. Some topological properties of prime ordered fuzzy filters are also studied.

• East Asian mathematical journal
• /
• v.19 no.2
• /
• pp.233-240
• /
• 2003

Xie and Wu introduced an m-system in a po-semigroup. Kehayopulu gave characterizations of weakly prime ideals of po-semigroups and Lee and Kwon add two characterizations for weakly prime ideals. In this paper, we give a characterization of weakly prime ideals and a characterization of weakly semi-prime ideals in po-semigroups using m-system and n-system, respectively

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.4
• /
• pp.829-839
• /
• 2019

Let S be a commutative semigroup with 0 and 1. A proper ideal P of S is weakly prime if for $a,\;b{\in}S$, $0{\neq}ab{\in}P$ implies $a{\in}P$ or $b{\in}P$. We investigate weakly prime ideals and related ideals of S. We also relate weakly prime principal ideals to unique factorization in commutative semigroups.

• Journal of Forest and Environmental Science
• /
• v.14 no.1
• /
• pp.60-88
• /
• 1998

Mt. Cheongok, Mt. Doota and Mt. Joongbong located at $37^{\circ}25^{\prime}26^{{\prime}{\prime}}{\sim}37^{\circ}27^{\prime}20^{{\prime}{\prime}}N$ in latitude, at $128^{\circ}55^{\prime}20^{{\prime}{\prime}}{\sim}129^{\circ}01^{\prime}58^{{\prime}{\prime}}E$ in longitude. The results of vascular plants - collecting and their investigation from June, 1995 to Octorber, 1997 are as follow ; The vaular plants collected and investigated in this area consist of 103 families, 324 genera, 516 species, 2 subspecies, 81 varieties, 10 formae, total 610 taxa in Mt. Cheongok, 104 families, 338 genera, 568 species, 2 subspecies, 84 varieties, 9 formae, 1 hybrid, total 664 taxa in Mt. Doota, 99 families, 303 genera, 453 species, 1 subspecies, 73 varieties, 10 formae, 1 hybrid, total 538 taxa in Mt. Joongbong. The Korean endemic plants were 22 taxa, 25 taxa and 17 taxa in each surveyed area. Rare or endangered plants were 19 taxa, 20 taxa and 11 taxa in each surveyed area. Also, naturalized plants were 17 taxa, 16 taxa and 14 taxa in each surveyed area.

• Journal of the Chungcheong Mathematical Society
• /
• v.12 no.1
• /
• pp.15-21
• /
• 1999

In this paper, we introduce the notion of anti fuzzy prime ideals in a commutative BCK-algebra and obtain some properties of it.