• Kyungpook Mathematical Journal
• /
• 제54권4호
• /
• pp.619-627
• /
• 2014

Let $\mathcal{M}(S)$ denote the set of all $m{\times}n$ matrices over a semiring S. For $A{\in}\mathcal{M}(S)$, zero-term rank of A is the minimal number of lines (rows or columns) needed to cover all zero entries in A. In [5], the authors obtained that a linear operator on $\mathcal{M}(S)$ preserves zero-term rank if and only if it preserves zero-term ranks 0 and 1. In this paper, we obtain new characterizations of linear operators on $\mathcal{M}(S)$ that preserve zero-term rank. Consequently we obtain that a linear operator on $\mathcal{M}(S)$ preserves zero-term rank if and only if it preserves two consecutive zero-term ranks k and k + 1, where $0{\leq}k{\leq}min\{m,n\}-1$ if and only if it strongly preserves zero-term rank h, where $1{\leq}h{\leq}min\{m,n\}$.

• 대한수학회보
• /
• 제51권6호
• /
• pp.1851-1861
• /
• 2014

We introduce the concept of w-zero-divisor (w-ZD) rings and study its related rings. In particular it is shown that an integral domain R is an SM domain if and only if R is a w-locally Noetherian w-ZD ring and that a commutative ring R is w-Noetherian if and only if the polynomial ring in one indeterminate R[X] is a w-ZD ring. Finally we characterize universally zero divisor rings in terms of w-ZD modules.

• Kyungpook Mathematical Journal
• /
• 제51권1호
• /
• pp.37-42
• /
• 2011

Let M be an R-module and S a semigroup. Our goal is to discuss zero-divisors of the semigroup module M[S]. Particularly we show that if M is an R-module and S a commutative, cancellative and torsion-free monoid, then the R[S]-module M[S] has few zero-divisors of size n if and only if the R-module M has few zero-divisors of size n and Property (A).

• 한국전자파학회논문지
• /
• 제14권5호
• /
• pp.472-478
• /
• 2003

본 논문에서는 LO 신호의 2차 하모닉 성분을 이용하여 2개의 FET를 cascode 구조로 구성한 near zero If특성을 갖는 하모닉 혼합기를 설계,제작하였다. 호모다인 방식에서 사용되는 혼합기는 DC offset이 가장 심각한 문제이다. 이러한 문제를 해결하기 위해서 단자간 분리도를 좋게 하고 near zero IF를 사용하여 혼합기를 설계하였다. 본 논문에서 구현된 혼합기는 간결한 구조에 비해 LO-RF 단자간 분리도가 우수하다. 설계된 혼합기에서 RF 입력 전력 -30 dBm, LO 입력 전력 6 dBm에 대해, 변환이득은 6.7 dB, 잡음지수는 8.4 dB, LO-RF 단자간 분리도는 31.5 dB, IIP3는 -1.9 dBm, IIP2는 -2.8 dBm이다.

• 대한수학회논문집
• /
• 제36권2호
• /
• pp.197-207
• /
• 2021

The main purpose of this paper is to study the zero-divisor properties of the zero-symmetric near-ring of skew formal power series R₀[[x; α]], where R is a symmetric, α-compatible and right Noetherian ring. It is shown that if R is reduced, then the set of all zero-divisor elements of R₀[[x; α]] forms an ideal of R₀[[x; α]] if and only if Z(R) is an ideal of R. Also, if R is a non-reduced ring and annR(a - b) ∩ Nil(R) ≠ 0 for each a, b ∈ Z(R), then Z(R₀[[x; α]]) is an ideal of R₀[[x; α]]. Moreover, if R is a non-reduced right Noetherian ring and Z(R₀[[x; α]]) forms an ideal, then ann_R(a - b) ∩ Nil(R) ≠ 0 for each a, b ∈ Z(R). Also, it is proved that the only possible diameters of the zero-divisor graph of R₀[[x; α]] is 2 and 3.

• Kyungpook Mathematical Journal
• /
• 제62권3호
• /
• pp.595-613
• /
• 2022

Let R be a commutative ring with identity and let I be a proper ideal of R. In this paper, we study the ideal based extended zero-divisor graph 𝚪'_I (R) and prove that 𝚪'_I (R) is connected with diameter at most two and if 𝚪'_I (R) contains a cycle, then girth is at most four girth at most four. Furthermore, we study affinity the connection between the ideal based extended zero-divisor graph 𝚪'_I (R) and the ideal-based zero-divisor graph 𝚪_I (R) associated with the ideal I of R. Among the other things, for a radical ideal of a ring R, we show that the ideal-based extended zero-divisor graph 𝚪'_I (R) is identical to the ideal-based zero-divisor graph 𝚪_I (R) if and only if R has exactly two minimal prime-ideals which contain I.

• 대한수학회보
• /
• 제53권6호
• /
• pp.1629-1643
• /
• 2016

Let R be a ring with identity, X be the set of all nonzero, nonunits of R and G be the group of all units of R. A ring R is called unit-duo ring if $[x]_{\ell}=[x]_r$ for all $x{\in}X$ where $[x]_{\ell}=\{ux{\mid}u{\in}G\}$ (resp. $[x]_r=\{xu{\mid}u{\in}G\}$) which are equivalence classes on X. It is shown that for a semisimple unit-duo ring R (for example, a strongly regular ring), there exist a finite number of equivalence classes on X if and only if R is artinian. By considering the zero divisor graph (denoted ${\tilde{\Gamma}}(R)$) determined by equivalence classes of zero divisors of a unit-duo ring R, it is shown that for a unit-duo ring R such that ${\tilde{\Gamma}}(R)$ is a finite graph, R is local if and only if diam(${\tilde{\Gamma}}(R)$) = 2.

• 대한수학회논문집
• /
• 제26권2호
• /
• pp.163-168
• /
• 2011

In this paper we introduce the notion of the center ZBin(X) in the semigroup Bin(X) of all binary systems on a set X, and show that if (X,${\bullet}$) ${\in}$ ZBin(X), then x ${\neq}$ y implies {x,y}=${x{\bullet}y,y{\bullet}x}$. Moreover, we show that a groupoid (X,${\bullet}$) ${\in}$ ZBin(X) if and only if it is a locally-zero groupoid.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 B
• /
• pp.894-897
• /
• 2003

Recently, the rapid growth of mobile radio system has led to an increasing demand of low-cost high performance communication IC's. In this paper, we have designed RF front end for wireless LAN receiver employ zero-IF architecture. A low-noise amplifier (LNA) and double-balanced mixer is included in a front end. The zero-IF architecture is easy to integrate and good for low power consumption, so that is coincided to requirement of wireless LAN. But the zero-IF architecture has a serious problem of large offset. Image-reject mixer is a good structure to solve offset problem. Using offset compensation circuit is good structure, too. The front end is implemented in 0.25 ${\mu}m$ CMOS technology. The front end has a noise figure of 5.6 dB, a power consumption of 16 mW and total gain of 22 dB.

• 전력전자학회:학술대회논문집
• /
• 전력전자학회 2012년도 전력전자학술대회 논문집
• /
• pp.154-155
• /
• 2012

The dynamic voltage restorer (DVR) is an effective protection device for wind turbine generator based on doubly-fed induction generator (DFIG) operated under the unbalanced voltage dip conditions. The compensating voltages of DVR depend on the voltage dips and on the influence of the zero sequence components. If the $Y_0/{\Delta}$ step-up transformers are used, there are no zero sequence components on the DFIG side. However, if the $Y_0/Y_0$ step-up transformers are used, the zero sequence components will appear during faults. The zero sequence components result in the high insulation costs and the asymmetric of the terminal voltages. This paper proposes a method for controlling zero sequence components in DVR to protect DFIG under unbalanced voltage dips. Simulation results are presented to verify the effectiveness of the proposed control method.