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一种CESS-环的研究 被引量:1
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作者 任北上 班秀和 《广西师院学报(自然科学版)》 2001年第1期10-12,共3页
该文研究了Ω =RM0S (M是左R -模 ,右S -模 ,R ,S都是有单位元的环 )是CESS -环的条件 ,证明了 :若Ω是左CESS -环 ,则R是左CESS -环。该文还证明了 :设Ω是左CESS -环 ,若Q≤RR ,SocQ≤eQ ,则对任意同态Φ :Q→M ,都有同态映射Ψ :R→... 该文研究了Ω =RM0S (M是左R -模 ,右S -模 ,R ,S都是有单位元的环 )是CESS -环的条件 ,证明了 :若Ω是左CESS -环 ,则R是左CESS -环。该文还证明了 :设Ω是左CESS -环 ,若Q≤RR ,SocQ≤eQ ,则对任意同态Φ :Q→M ,都有同态映射Ψ :R→M ,使得Φ =ιψ。 展开更多
关键词 cess-环 cess-模 本质子模 左R-模 右S-模 同态映射 单位元
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关于CESS-环
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作者 任北上 班秀和 李碧荣 《阜阳师范学院学报(自然科学版)》 2003年第1期7-11,共5页
研究了(M是在R-,右S-模,R,S都是有单位元的结合环)的性质,给出了非奇异环Ω是CESS-环的充要条件。
关键词 cess-环 非奇异环 cess-模 结合环
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CESS-条件的遗传性讨论
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作者 班秀和 李碧荣 《广西师范学院学报(自然科学版)》 2002年第4期27-29,共3页
讨论了CESS_模的子模也是CESS_模的条件 ,获得了 :如果CESS_模M是分配模 ,则M的每一个子模也是CESS_模及若R是遗传 ∑_CESS_环 ,则R的每一右理想是CESS_环 ,甚至还是 ∑_CESS_环等结果 .
关键词 cess-条件 cess cess-环 子模 ∑-cess-模 ∑-cess-环
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In-Line Inspection of Pipeline Defects Detection Using Ring-Type Laser 被引量:2
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作者 Mathivanan Durai Yang-Min Hsu Ho Chang 《World Journal of Engineering and Technology》 2021年第3期589-603,共15页
Pipeline plays a vital role in transporting fluids like oils, water, and petrochemical substances for longer distances. Based on the materials they carry</span><span style="white-space:normal;font-size:1... Pipeline plays a vital role in transporting fluids like oils, water, and petrochemical substances for longer distances. Based on the materials they carry</span><span style="white-space:normal;font-size:10pt;font-family:"">,</span><span style="white-space:normal;font-size:10pt;font-family:""> prolonged usage may cause the initiation of defects in the pipeline. These defects occur due to the formed salt deposits, chemical reaction happens between the inner surface and the transferring substance, prevailing environmental conditions, etc. These defects, if not identified earlier may lead to significant losses to the industry. In this work, an in-line inspection system utilizes the nondestructive way for analyzing the internal defects in the petrochemical pipeline. This system consists of a pipeline inspection robot having two major units namely the visual inspection unit and the power carrier unit. The visual inspection unit makes use of a ring-type laser diode and the camera. The laser diode serves as a light source for capturing good quality images of inspection. This unit is controlled by the Arduino in the power carrier unit which provides the necessary movement throughout the pipe. The inspected images captured by the camera are further processed with the aid of NI vision assistant software. After applying the processing function parameters provided by this software, the defect location can be clearly visualized with high precision. Three sets of defects are introduced in a Polylactide (PLA) pipe based on its position and angle along the circumference of the pipe. Further, this robot system serves as a real-time interactive image synchronization system for acquiring the inspected images. By comparing the actual and calculated defect size, the error percentage obtained was less than 5%. 展开更多
关键词 Pipeline Robotic System ring-Type Laser Vision Assistant Image Pro-cessing Leak Holes Detection Nondestructive Testing
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PS and CESS Property of Formal Triangular Matrix Rings
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作者 张文汇 刘仲奎 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2008年第4期981-986,共6页
Let R be a ring. Recall that a right R-module M (RR, resp.) is said to be a PS-module (PS-ring, resp.) if it has projective socle. M is called a CESS-module if every complement summand in M with essential socle is a d... Let R be a ring. Recall that a right R-module M (RR, resp.) is said to be a PS-module (PS-ring, resp.) if it has projective socle. M is called a CESS-module if every complement summand in M with essential socle is a direct summand of M. We show that the formal triangular matrix ring T = A 0M B is a PS-ring if and only if A is a PS-ring, MA and lB(M) = {b ∈ B | bm = 0,m ∈ M} are PS-modules and Soc(lB(M)) M = 0. Using the alternative of right T-module as triple (X,Y )f with X ∈ Mod-A, Y ∈ Mod-B and f : YM →... 展开更多
关键词 formal triangular matrix ring PS-ring cess-module.
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