• 대한수학회보
• /
• 제20권1호
• /
• pp.45-49
• /
• 1983

If R is ring and M is a right (or left) R-module, then M is called a faithful R-module if, for some a in R, x.a=0 for all x.mem.M then a=0. In [4], R.E. Johnson defines that M is a prime module if every non-zero submodule of M is faithful. Let us define that M is of prime type provided that M is faithful if and only if every non-zero submodule is faithful. We call a right (left) ideal I of R is of prime type if R/I is of prime type as a R-module. This is equivalent to the condition that if xRy.subeq.I then either x.mem.I ro y.mem.I (see [5:3:1]). It is easy to see that in case R is a commutative ring then a right or left ideal of a prime type is just a prime ideal. We have defined in [5], that a chain of right ideals of prime type in a ring R is a finite strictly increasing sequence I$_{0}$.contnd.I$_{1}$.contnd....contnd.I$_{n}$; the length of the chain is n. By the right dimension of a ring R, which is denoted by dim, R, we mean the supremum of the length of all chains of right ideals of prime type in R. It is an integer .geq.0 or .inf.. The left dimension of R, which is denoted by dim$_{l}$ R is similarly defined. It was shown in [5], that dim$_{r}$R=0 if and only if dim$_{l}$ R=0 if and only if R modulo the prime radical is a strongly regular ring. By "a strongly regular ring", we mean that for every a in R there is x in R such that axa=a=a$^{2}$x. It was also shown that R is a simple ring if and only if every right ideal is of prime type if and only if every left ideal is of prime type. In case, R is a (right or left) primitive ring then dim$_{r}$R=n if and only if dim$_{l}$ R=n if and only if R.iden.D$_{n+1}$ , n+1 by n+1 matrix ring on a division ring D. in this paper, we establish the following results: (1) If R is prime ring and dim$_{r}$R=n then either R is a righe Ore domain such that every non-zero right ideal of a prime type contains a non-zero minimal prime ideal or the classical ring of ritght quotients is isomorphic to m*m matrix ring over a division ring where m.leq.n+1. (b) If R is prime ring and dim$_{r}$R=n then dim$_{l}$ R=n if dim$_{l}$ R=n if dim$_{l}$ R<.inf. (c) Let R be a principal right and left ideal domain. If dim$_{r}$R=1 then R is an unique factorization domain.TEX>R=1 then R is an unique factorization domain.

• 대한수학회보
• /
• 제56권2호
• /
• pp.505-514
• /
• 2019

Let R be a commutative ring with identity and M be a unitary R-module. A submodule N of M is called a dense submodule if $Hom_R(M/N,\;E_R(M))=0$, where $E_R(M)$ is the injective hull of M. The R-module M is said to be monoform if any nonzero submodule of M is a dense submodule. In this paper, among the other results, it is shown that any kind of the following module is monoform. (1) The prime R-module M such that for any nonzero submodule N of M, $Ann_R(M/N){\neq}Ann_R(M)$. (2) Strongly prime R-module. (3) Faithful multiplication module over an integral domain.

• 대한수학회지
• /
• 제42권6호
• /
• pp.1153-1167
• /
• 2005

In this paper, all rings and all near-rings R are associative, all modules are right R-modules. For a near-ring R, we consider representations of R as R-groups. We start with a study of AGR rings and their properties. Next, for any right R-module M, we define a new concept GM module and investigate the commutative property of faithful GM modules and some characterizations of GM modules. Similarly, for any near-ring R, we introduce an R-group with MR-property and some properties of MR groups.

• 호남수학학술지
• /
• 제39권2호
• /
• pp.275-296
• /
• 2017

All rings considered here are commutative rings with identity and all modules considered here are unital left modules. A submodule N of an R-module M is said to be extended to M if $N=aM$ for some ideal a of R and it is said to be fully invariant if ${\varphi}(L){\subseteq}L$ for every ${\varphi}{\in}End(M)$. An R-module M is called a [resp., fully invariant] multiplication module if every [resp., fully invariant] submodule is extended to M. The class of fully invariant multiplication modules is bigger than the class of multiplication modules. We deal with prime submodules and associated prime submodules of fully invariant multiplication modules. In particular, when M is a nonzero faithful multiplication module over a Noetherian ring, we characterize the zero-divisors of M in terms of the associated prime submodules, and we show that the set Aps(M) of associated prime submodules of M determines the set $Zdv_M(M)$ of zero-dvisors of M and the support Supp(M) of M.

• 한국콘텐츠학회논문지
• /
• 제10권8호
• /
• pp.59-65
• /
• 2010

본 논문은 MPEG-2 Transport Stream (TS) 데이터를 인터넷 망에 전송하기 위한 하드웨어 설계를 제안한다. 제안한 설계는 1개에서 7개 내의 비디오/오디오 스트림을 IP 패킷으로 변환하는 캡슐화 모듈과 연속적인 여러 개의 TS 패킷들로부터 DSM-CC PS 패킷을 추출하여 재구성한 후 IP 패킷으로 변환하는 패킷변환 모듈로 구성된다. 그래서 출력되는 IP 패킷들을 150Mbps 이상의 처리속도를 지원한다. 제안된 모듈들은 ALTERA사의 참조디자인을 토대로 수정 보완한 후 패킷변환 모듈을 추가한 것으로써 하드웨어 기술언어인 Verilog-HDL로 설계하였으며 모의실험을 통해 기능을 검증하였다.

• 전기전자학회논문지
• /
• 제4권2호
• /
• pp.212-224
• /
• 2000

본 논문에서는 영상 응용프로그램의 처리 속도를 향상하기 위한 병렬처리 시스템을 제안한다. 병렬처리 시스템은 Pipelined SIMD 구조를 갖고 있으며, 다수개의 처리기와 다중접근 기억장치로 구성된다. 다중접근 기억장치는 메모리 모듈들과 메모리 제어부로 구성되며, 메모리 제어부는 메모리 모듈 선택 모듈, 데이터 라우팅 모듈, 그리고 주소 계산 및 라우팅 모듈로 구성되어 있으며, 블록, 행, 그리고 열 내의 데이터를 동시에 접근할 수 있는 기능을 제공한다. 제안한 병렬처리 시스템을 검증하기 위해서 형태학적 필터를 적용하여 기능 검증 및 처리속도를 확인하였다.

• 한국콘텐츠학회논문지
• /
• 제9권2호
• /
• pp.60-66
• /
• 2009

본 논문에서는 지상파 DMB 기반의 멀티미디어 서비스를 위한 ETI 어댑터 구현 방법을 제안한다. ETI 어댑터는 멀티미디어 서비스 제공자로부터 전송받은 데이터를 ETI 프레임으로 구성한 후 G.703 형태로 지상파 DMB 다중화기에 전송한다. 이를 위해서 제안된 ETI 어댑터는 서비스 제공자와의 데이터 전송을 제어하는 모듈, 전송된 데이터를 ETI 프레임으로 구성하는 모듈, 그리고 ETI 프레임을 실시간 전송하기 위한 ETI 출력보드로 구성된다. 제안된 어댑터는 인터넷을 통해 멀티미디어 데이터를 수신하여 ETI 프레임으로 구성한 후 ETSI EN 300 401 규격에서 요구되는 $64{\sim}1,153$ kbps 범위 내의 가변 전송률에 따라 데이터 손실없이 지상파 DMB 다중화기에 전송하였다.

• 건축역사연구
• /
• 제31권2호
• /
• pp.27-34
• /
• 2022

This study aimed to elucidate the architectural characteristics of the cathedral architecture of the Archdiocese of Gwangju, which was completed in the period of liberation and turbulence, and the conclusions are as follows. Gwangju Archdiocese Cathedral, completed during the period of liberation and turbulence, was built with some assistance from the U.S. military or with the efforts of the faithful, and there are a number of factors such as space directing by Aps, the development of a simplified bell tower, the appearance of a stone cathedral, the application of a quenset structure, and an increase in size. show special features The indented apse appears only after liberation, and is a characteristic that appears prominently in stone churches. The simplified form in which the bell was hung by raising the outer wall appeared in the early church shows a change in the composition with a porch in front. The stone church and the quanset-structured church only appeared after liberation and were built only in the 1950s. The size of the cathedral reflects the increase in the number of believers after the Korean War, and the average area is about 1.5 times higher than before liberation. When considering the spacing of the bays as a module, the size plan followed the implicit norm of early cathedral architecture of 36.5m, but gradually decreased to 2.7m and 2.4m.