• Korean Journal of Mathematics
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• 제5권2호
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• pp.135-139
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• 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.

• 대한수학회지
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• 제50권6호
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• pp.1183-1198
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• 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.

• 호남수학학술지
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• 제21권1호
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• pp.1-12
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• 1999

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

• East Asian mathematical journal
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• 제28권3호
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• pp.281-285
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• 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
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• 제34권3_4호
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• pp.269-284
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• 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
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• 제39권5_6호
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• pp.825-838
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• 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
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• 제19권2호
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• pp.233-240
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• 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

• 대한수학회보
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• 제56권4호
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• pp.829-839
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• 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
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• 제14권1호
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• pp.60-88
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• 1998

청옥산, 두타산, 중봉산(북위 $37^{\circ}25^{\prime}26^{{\prime}{\prime}}{\sim}37^{\circ}27^{\prime}20^{{\prime}{\prime}}$, 동경 $128^{\circ}55^{\prime}20^{{\prime}{\prime}}{\sim}129^{\circ}01^{\prime}58^{{\prime}{\prime}}$)을 대상으로 식물상(植物相)을 조사한 결과, 조사지역내의 관속식물(管束植物)은 청옥산 103과(科) 324속(屬) 516종(種), 2아종(亞種) 81변종(變種) 10품종(品種) 1잡종(雜種)으로 총 610종류(種類), 두타산 104과(科) 338속(屬) 568종(種) 2아종(亞種) 84변종(變種) 9품종(品種) 1잡종(雜種)으로 총 664종류(種類), 중봉산 99과(科) 303속(屬) 453종(種) 1아종(亞種) 73변종(變種) 10품종(品種) 1잡종(雜種)으로 총 538종류(種類)가 분포하였다. 그리고 소산식물(所産植物) 중 한국특산식물(韓國特産植物)은 청옥산 22종류, 두타산 25종류, 중봉산 17종류가 분포하였으며, 희귀(稀貴) 및 멸종위기식물(滅種危機植物)은 청옥산 19종류, 두타산 20종류, 중봉산 11종류가 분포하는 것으로 나타났고, 조사지역내의 귀화식물(歸化植物)은 청옥산 17종류, 두타산 16종류, 중봉산 14종류가 출현하였다.

• 충청수학회지
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• 제12권1호
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• pp.15-21
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• 1999

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