• 한국항공우주학회지
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• 제31권5호
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• pp.63-71
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• 2003

본 논문에서는 몸체진동형 링레이저 자이로에서 몸체진동을 검출하기 위한 각속도 센서 출력을 V-F 변환하여 링레이저 출력에서 몸체진동에 의한 출력을 제거하는 dither-stripping 방법에 대하여 논의하였다. Dither-stripping에서는 V-F 출력펄스와 링레이저 출력펄스간의 환산계수를 산출하는 방법과 V-F 출력펄스의 offset를 보정해주는 방법이 중요하다. 각속도 센서의 출력을 V-F 변환하여 dither-stripping하는 경우에는 offset을 보정하는 과정에서 몸체진동의 진폭잡음에 의한 자이로 출력의 오차가 크게 발생한다. 우리는 V-F 출력펄스를 미분하여 offset을 제거하는 방법을 고안하였다. 이를 위해서는 각속도 센서의 출력을 90deg 위상 이동시켜서 각도신호를 만들고 V-F 변환해야 하며 링레이저 출력의 위상도 샘플링의 반주기만큼 이동시켜야 한다. 그리고 두 펄스간의 환산계수는 분산을 이용하여 산출하였다. 이러한 각도신호 미분방식의 dither-stripping에 의하여 개선된 결과를 얻을 수 있었다.

• 대한수학회지
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• 제38권5호
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• pp.915-935
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• 2001

Let V be any valuation domain and let E be a subset of the quotient field K of V. We study the ring of integer-valued polynomials on E, that is, Int(E, V)={f$\in$K[X]｜f(E)⊆V}. We show that, if E is precompact, then Int(E, V) has many properties similar to those of the classical ring Int(Z).In particular, Int(E, V) is dense in the ring of continuous functions C(E, V); each finitely generated ideal of Int(E, V) may be generated by two elements; and finally, Int(E, V) is a Prufer domain.

• 대한수학회보
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• 제55권6호
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• pp.1627-1638
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• 2018

In this paper, we study an special type of cyclic codes called skew cyclic codes over the ring ${\mathbb{F}}_p+v{\mathbb{F}}_p+v^2{\mathbb{F}}_p$, where p is a prime number. This set of codes are the result of module (or ring) structure of the skew polynomial ring (${\mathbb{F}}_p+v{\mathbb{F}}_p+v^2{\mathbb{F}}_p$)[$x;{\theta}$] where $v^3=1$ and ${\theta}$ is an ${\mathbb{F}}_p$-automorphism such that ${\theta}(v)=v^2$. We show that when n is even, these codes are either principal or generated by two elements. The generator and parity check matrix are proposed. Some examples of linear codes with optimum Hamming distance are also provided.

• Kyungpook Mathematical Journal
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• 제46권1호
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• pp.57-64
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• 2006

It is proved that if G is a direct sum of countable abelian $p$-groups and R is a special selected commutative unitary highly-generated ring of prime characteristic $p$, which ring is more general than the weakly perfect one, then the group of all normed units V (RG) modulo G, that is V (RG)=G, is a direct sum of countable groups as well. This strengthens a result due to W. May, published in (Proc. Amer. Math. Soc., 1979), that treats the same question but over a perfect ring.

• 대한수학회보
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• 제59권1호
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• pp.213-226
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• 2022

Let R be a ring and M an R-module. Then M is said to be regular w-flat provided that the natural homomorphism I ⊗_R M → R ⊗_R M is a w-monomorphism for any regular ideal I. We distinguish regular w-flat modules from regular flat modules and w-flat modules by idealization constructions. Then we give some characterizations of total quotient rings and Prüfer v-multiplication rings (PvMRs for short) utilizing the homological properties of regular w-flat modules.

• 대한수학회지
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• 제59권1호
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• pp.193-204
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• 2022

We present construction methods for free self-orthogonal (self-dual or Type II) codes over ℤ₄[v]/〈v² + 2v〉 which is one of the finite commutative local non-chain Frobenius rings of order 16. By considering their Gray images on ℤ₄, we give a construct method for a code over ℤ₄. We have some new and optimal codes over ℤ₄ with respect to the minimum Lee weight or minimum Euclidean weight.

• 대한수학회지
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• 제52권1호
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• pp.1-21
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• 2015

C-domains are defined via class semigroups, and every C-domain is a Mori domain with nonzero conductor whose complete integral closure is a Krull domain with finite class group. In order to extend the concept of C-domains to rings with zero divisors, we study v-Marot rings as generalizations of ordinary Marot rings and investigate their theory of regular divisorial ideals. Based on this we establish a generalization of a result well-known for integral domains. Let R be a v-Marot Mori ring, $\hat{R}$ its complete integral closure, and suppose that the conductor f = (R : $\hat{R}$) is regular. If the residue class ring R/f and the class group C($\hat{R}$) are both finite, then R is a C-ring. Moreover, we study both v-Marot rings and C-rings under various ring extensions.

• 한국정밀공학회지
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• 제17권9호
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• pp.102-108
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• 2000

A finite element analysis has been performed to investigate the effect of v-ring indenter on the sheared surface in the fine blanking of a pawl which is a part of the automotive safety belt and is made of S45C sheet. In the present analysis the Cockcroft and latham fracture criterion and the element kill method are used in order to simulate the blanking operation successfully. The simulation results are obtained for various positions and heights of the v-ring indenter. And the theoretical results are compared with available experimental results. It is shown that this FEM simulation result can be useful for predicting the optimal fine blanking condition of real products.

• Kyungpook Mathematical Journal
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• 제56권2호
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• pp.397-408
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• 2016

Let R be a 2-torsion free prime ring with center Z, U be the Utumi quotient ring, Q be the Martindale quotient ring of R, d be a derivation of R and L be a Lie ideal of R. If $d(uv)^n=d(u)^md(v)^l$ or $d(uv)^n=d(v)^ld(u)^m$ for all $u,v{\in}L$, where m, n, l are xed positive integers, then $L{\subseteq}Z$. We also examine the case when R is a semiprime ring. Finally, as an application we apply our result to the continuous derivations on non-commutative Banach algebras. This result simultaneously generalizes a number of results in the literature.

• Kyungpook Mathematical Journal
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• 제45권3호
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• pp.357-362
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• 2005

In this paper, we introduce a new notion which we call a generalized weakly ideal. We also investigate characterizations of strongly regular rings with the condition that every maximal left ideal is a generalized weakly ideal. It is proved that R is a strongly regular ring if and only if R is a left GP-V-ring whose every maximal left (right) ideal is a generalized weakly ideal. Furthermore, if R is a left SGPF ring, and every maximal left (right) ideal is a generalized weakly ideal, it is shown that R/J(R) is strongly regular. Several known results are improved and extended.