• 대한수학회논문집
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• 제17권2호
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• pp.221-227
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• 2002

In this paper we will show that the followings ; (1) Let R be a regular local ring of dimension n. Then $A_{n-2}$(R) = 0. (2) Let R be a regular local ring of dimension n and I be an ideal in R of height 3 such that R/I is a Gorenstein ring. Then [I] = 0 in $A_{n-3}$(R). (3) Let R = V[[ $X_1$, $X_2$, …, $X_{5}$ ]]/(p+ $X_1$$^{t1}$ + $X_2$$^{t2}$ + $X_3$$^{t3}$ + $X_4$$^2$+ $X_{5}$ $^2$/), where p $\neq$2, $t_1$, $t_2$, $t_3$ are arbitrary positive integers and V is a complete discrete valuation ring with (p) = mv. Assume that R/m is algebraically closed. Then all the Chow group for R is 0 except the last Chow group.group.oup.

• 호남수학학술지
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• 제27권3호
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• pp.399-404
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• 2005

Let M be a finite commutative nilpotent algebra over a perfect field k of prime characteristic p and let $M^p$ be the sub-algebra of M generated by $x^p$, $x{\in}M$. Eggert[3] conjectures that $dim_kM{\geq}pdim_kM^p$. In this paper, we show that the conjecture holds for $M=R^+/I$, where $R=k[X_1,\;X_2,\;{\cdots},\;X_t]$ is a polynomial ring with indeterminates $X_1,\;X_2,\;{\cdots},\;X_t$ over k and $R^+$ is the maximal ideal of R generated by $X_1,\;X_2,{\cdots},\;X_t$ and I is a monomial ideal of R containing $X_1^{n_1+1},\;X_2^{n_2+1},\;{\cdots},\;X_t^{n_t+1}$ ($n_i{\geq}0$ for all i).

• 대한수학회논문집
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• 제36권1호
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• pp.1-10
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• 2021

Let R and S be two commutative rings, J be an ideal of S and f : R → S be a ring homomorphism. The amalgamation of R and S along J with respect to f, denoted by R ⋈f J, is the special subring of R × S defined by R ⋈f J = {(a, f(a) + j) | a ∈ R, j ∈ J}. In this paper, we study some basic properties of a special kind of R ⋈f J-modules, called the amalgamation of M and N along J with respect to ��, and defined by M ⋈�� JN := {(m, ��(m) + n) | m ∈ M and n ∈ JN}, where �� : M → N is an R-module homomorphism. The new results generalize some known results on the amalgamation of rings and the duplication of a module along an ideal.

• Journal of applied mathematics & informatics
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• 제7권1호
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• pp.289-295
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• 2000

In this note, we define a ${Q^*}-ideal$ in a seminear-ring which is analogous of a Q-ideal in a semiring, and we construct a quotient seminear-ring. Also, We prove the fundamental theorem of homomorphisms for seminear-rings.

• Journal of applied mathematics & informatics
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• 제12권1_2호
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• pp.243-250
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• 2003

The fuzzification of (Positive implicative) pseudo-ideals in a pseudo-BCK algebra is discussed, and several properties are investigated. Characterizations of a fuzzy pseudo-ideal are displayed.

• 대한수학회보
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• 제51권4호
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• pp.1163-1173
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• 2014

Let R be a commutative ring with $1{\neq}0$. In this paper, we introduce the concept of 2-absorbing primary ideal which is a generalization of primary ideal. A proper ideal I of R is called a 2-absorbing primary ideal of R if whenever $a,b,c{\in}R$ and $abc{\in}I$, then $ab{\in}I$ or $ac{\in}\sqrt{I}$ or $bc{\in}\sqrt{I}$. A number of results concerning 2-absorbing primary ideals and examples of 2-absorbing primary ideals are given.

• 멤브레인
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• 제24권6호
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• pp.491-497
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• 2014

PTMSP[Poly(1-trimethylsilyl-1-propyne)]에 TEOS (tetraethoxysilane), TMOS (tetramethoxysilane), MTMOS(methyltrimethoxysilane), 그리고 PTMOS (phenyltrimethoxysilane)의 함량을 0, 15, 20, 30 wt%로 달리하여 졸-겔법을 이용하여 PTMSP-silica 복합막을 제조하였다. PTMSP-silica 복합막의 알콕시실란 함량에 따른 $H_2$, $N_2$의 기체투과도와 $N_2$에 대한 $H_2$의 이상 선택도를 조사하였다. $H_2$와 $N_2$의 투과도는 알콕시실란 함량이 0~20 wt% 범위에서는 증가하다가 알콕시실란 함량이 20~30 wt% 범위에서는 감소하였다. $N_2$에 대한 $H_2$의 이상 선택도는 TEOS와 PTMOS의 함량이 0~15 wt% 범위에서는 감소하였으며, 15~30 wt% 범위에서는 다시 증가하였다. Robeson upper bound와 비교할 때, PTMSP-silica 복합막은 TEOS 함량이 30 wt%, MTMOS 함량이 20 wt% 그리고 PTMOS 함량이 30 wt%에서 투과도와 이상 선택도가 동시에 향상된 것으로 나타났다.

• 건축역사연구
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• 제5권1호
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• pp.87-101
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• 1996

This study aims at showing how C.N.Ledoux applied architecturally the idea of Enlightenment in the Ideal City. Enlightenment of 18th century not only developed neo-classicism in the field of art, but also brought about the changes of ideology and philosophy of the era. C.N.Ledoux, one of the most influential architects of this period, expressed abstractly and symbolically the essential idea of Enlightenment; the skepticism of God's authority, the liberty and equality of man, charity and the willingness of controlling the power of nature, and so on.

• 대한수학회논문집
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• 제11권4호
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• pp.887-893
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• 1996

Let (R,m) be a Cohen-Macaulay local ring with an infinite residue field and let $J = (a_1, \cdots, a_l)$ be a minimal reduction of an equimultiple ideal I of R. In this paper we shall prove that the following conditions are equivalent: (1) $I^2 = JI$. (2) $gr_I(R)/mgr_I(R)$ is Cohen-Macaulay with minimal multiplicity at its maximal homogeneous ideal N. (3) $N^2 = (a'_1, \cdots, a'_l)N$, where $a'_i$ denotes the images of $a_i$ in I/mI for $i = 1, \cdots, l$.

• 대한수학회보
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• 제35권4호
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• pp.683-687
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• 1998

Suppose X is a subspace of $(\sum_{n=1} ^{\infty} X_n)_{c_0}$, dim $X_n<{\infty}$, which has the metric compact approximation property. It is proved that if Y is a Banach space of cotype q for some $2{\leq}1<{\infty}$ then K(X,Y) is an M-ideal in L(X,Y).