• Title/Summary/Keyword: properties of zero

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ON A GENERALIZATION OF UNIT REGULAR RINGS

  • Tahire Ozen
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1463-1475
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    • 2023
  • In this paper, we introduce a class of rings generalizing unit regular rings and being a subclass of semipotent rings, which is called idempotent unit regular. We call a ring R an idempotent unit regular ring if for all r ∈ R - J(R), there exist a non-zero idempotent e and a unit element u in R such that er = eu, where this condition is left and right symmetric. Thus, we have also that there exist a non-zero idempotent e and a unit u such that ere = eue for all r ∈ R - J(R). Various basic characterizations and properties of this class of rings are proved and it is given the relationships between this class of rings and some well-known classes of rings such as semiperfect, clean, exchange and semipotent. Moreover, we obtain some results about when the endomorphism ring of a module in a class of left R-modules X is idempotent unit regular.

ON COMMUTATIVITY OF SKEW POLYNOMIALS AT ZERO

  • Jin, Hai-Lan;Kaynarca, Fatma;Kwak, Tai Keun;Lee, Yang
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.51-69
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    • 2017
  • We, in this paper, study the commutativity of skew polynomials at zero as a generalization of an ${\alpha}-rigid$ ring, introducing the concept of strongly skew reversibility. A ring R is be said to be strongly ${\alpha}-skew$ reversible if the skew polynomial ring $R[x;{\alpha}]$ is reversible. We examine some characterizations and extensions of strongly ${\alpha}-skew$ reversible rings in relation with several ring theoretic properties which have roles in ring theory.

Subject-Object Asymmetries of Morphological Case Realization

  • Ahn, Hee-Don;Cho, Sung-Eun
    • Language and Information
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    • v.11 no.1
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    • pp.53-76
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    • 2007
  • Case markers in Korean are omissible in colloquial speech. Previous discourse studies of Caseless bare NPs in Korean show that the information structure of zero Nominative not only differs from that of overt Nominative but it also differs from that of zero Accusative in many respects. This paper aims to provide a basis for these semantic/pragmatic properties of Caseless NPs through the syntactic difference between bare subjects and bare objects: namely, the former are left-dislocated NPs, whereas the latter form complex predicates with the subcategorizing verbs. Our analysis will account for the facts that (i) the distribution of bare subject NPs are more restricted than that of bare object NPs; (ii) bare subject NPs must be specific or topical; (iii) Acc-marked NPs in canonical position tend to be focalized.

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Rings which satisfy the Property of Inserting Regular Elements at Zero Products

  • Kim, Hong Kee;Kwak, Tai Keun;Lee, Yang;Seo, Yeonsook
    • Kyungpook Mathematical Journal
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    • v.60 no.2
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    • pp.307-318
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    • 2020
  • This article concerns the class of rings which satisfy the property of inserting regular elements at zero products, and rings with such property are called regular-IFP. We study the structure of regular-IFP rings in relation to various ring properties that play roles in noncommutative ring theory. We investigate conditions under which the regular-IFPness pass to polynomial rings, and equivalent conditions to the regular-IFPness.

Study on Missile Aerodynamic Characteristics with Three Loop Acceleration Autopilot Structure (3-루프 가속도 오토파일롯 구조를 갖는 유도탄의 공력특성 연구)

  • Kim, Yoon-Sik;Kim, Seung-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.8
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    • pp.633-638
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    • 2002
  • We study how the missile autopilot with three loop acceleration structure is related to the aerodynamic characteristics. First, the relationships between the response characteristics of wingless-tail controlled missile and aerodynamics are derived. Next the maximum allowable performance limit of autopilot and the design direction for a missile shape are indicated using the property of zero. The method proposed in this paper may give a help to the missile autopilot system design and determination of the shape of aerodynamic. Also, the validity of proposed method is demonstrated via numerical example.

Fundamental Properties of Zero-Cement Mortar with Variation Replacement Ratio of Incineration Waste Ash and Gypsum (무수석고와 소각장애시의 치환율 변화에 따른 고로슬래그 미분말 활용 무 시멘트 모르타르의 기초적특성)

  • Lu, Liang Liang;Kim, Jun Ho;Baek, Byung Hoon;Han, Cheon Goo
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2014.05a
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    • pp.242-243
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    • 2014
  • In this study, industrial by-products including blast furnace slag, incineration ash and waste gypsum were used with recycled fine aggregates to manufacture the zero-cement mortar. The replacement ratio of anhydrite gypsum was fixed as 0, 10%, 20% the replacement ratio fo WA1 was fixed as 0.5% and 1.0%, respectively. It could be identified that when the replacement of gypsum was 20% and WA1 of 1.0%, the strength could be in the range of normal strength.

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Engineering Properties of Zero-Cement Mortar with Variation Replacement Ratio of Incineration Waste Ash and Gypsum (석고종류 및 소각장애시 치환율 변화에 따른 고로슬래그 미분말 활용 무시멘트 모르타르의 공학적 특성)

  • Park, Jun Hui;Huang, Jin Guang;Kim, Jun Ho;Jo, Man Ki;Han, Min cheol;Han, Cheon Goo
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2014.05a
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    • pp.222-223
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    • 2014
  • In this study, industrial by-products including blast furnace slag, incineration ash and waste gypsum were used with recycled fine aggregates to manufacture the zero-cement mortar.The replacement ratio of dihydrate gypsum and anhydrite gypsum was fixed as 0 and 10%, the replacement ratio fo WA1 was fixed as 0.5% and 1.0%, respectively. It could be identified that when the replacement of gypsum was 10% and WA1 of 1.0%, the strength could be in the range of normal strength.

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Properties of Triangle-Shaped Fuzzy Membership Function (삼각 퍼지 멤버쉽함수의 특성)

  • 이규택;이장규
    • Journal of the Korean Institute of Intelligent Systems
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    • v.5 no.1
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    • pp.15-20
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    • 1995
  • Fuzzy membership functions are some kinds of mapping function for the fuzzification and the defuzzification. Triangle-shaped fuzzy membership functions are widely used in fuzzy controller, for it is easy to implement. In these membership functions, it is known that narrower fuzzy sets permit finer control near the operating point than that far from the operating point. $Supp{\acute{o}}se$ we have a membership function with narrower triangle near zero and wider triangle far from zero. The membership function will make fine control when small input is given and rough control at large input. Therefore the performance of the controller with that membership function will be enhanced. This paper presents how the width of triangle base in the fuzzy membership function has influence on the output using geometrical approaches.

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Effect of Mean Stress on Fatigue Properties in Spring Steel (스프링강의 피로 특성에 미치는 평균 응력의 영향)

  • Seok, Chang-Sung;Kim, Hyung-Ick;Chang, Pil-Soo;Joo, Jae-Man;Kang, Jeong-Hoon
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.255-260
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    • 2003
  • Most of the fatigue test were achieved in fully reversed condition that mean stress is zero. But, generally, mean stress can not be zero. This research was achieved the bending fatigue test that changes mean stress to spring steel and was studied relation with the mean stress and the fatigue life. The method to search effect about mean stress was extended S-N graph in two cases. One method was extended S-N graph using modified Miner's rule with considering damage. Another was extended using tendency of S-N graph. The exponential value(${\alpha}$) of mean stress-alternating stress equation is converged between the Goodman's and the Gerber's value even if fatigue life increases.

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Compressive Strength Properties of Concrete by the Form Material Change at 10 below Zero (양생온도 -10℃에서 거푸집 재료 변화에 따른 콘크리트의 압축강도 특성)

  • Choi, Si-Hyun;Lee, Han-Seung
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2016.05a
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    • pp.107-108
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    • 2016
  • When the construction in a low temperature, the concrete performance is deteriorated by frost damage at early age. In this study, the form utilizing heating sheet and insulation is measured the performance to prevent frost damage at 10 below zero. It produced five types of the form and to measure the temperature history and compressive strength. At first, form attached heating sheet showed the highest temperature. But the form attached vacuum insulation showed the highest temperature ever since 12hours. In the case of compressive strength, the form attached heating sheet + isopink(polystyrene foam board) showed the highest compressive strength. It was followed by vacuum insulation. As a result, the form utilizing insulation and heating sheet helped to prevent frost damage.

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