• 제목/요약/키워드: fundamental ring

검색결과 120건 처리시간 0.021초

FUZZY SUBRINGS OF FUNDAMENTAL RINGS

  • Davvaz, B.
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제11권2호
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    • pp.127-132
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    • 2004
  • $H_v$-rings first were introduced by Vougiouklis in 1990. The largest class of algebraic systems satisfying ring-like axioms is the $H_v$-ring. Let R be an $H_v$-ring and ${\gamma}_R$ the smallest equivalence relation on R such that the quotient $R/{\gamma}_R$, the set of all equivalence classes, is a ring. In this case $R/{\gamma}_R$ is called the fundamental ring. In this short communication, we study the fundamental rings with respect to the product of two fuzzy subsets.

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PRODUCT OF FUZZY ${H_v}-IDEALS$ IN ${H_v}-RINGS$

  • Davvaz, B.
    • Journal of applied mathematics & informatics
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    • 제8권3호
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    • pp.909-917
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    • 2001
  • In this paper we define product between fuzzy ${H_v}-ideals$ of given ${H_v}-rings$. we consider the fundamental relation ${\gamma}^*$ defined on and ${H_v}-ring$ and give some properties of the fundamental relations and fundamental rings with respect to the product of fuzzy ${H_v}-ideals$.

ON POLYGROUP HYPERRINGS AND REPRESENTATIONS OF POLYGROUPS

  • Davvaz, B.;Poursalavati, N.S.
    • 대한수학회지
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    • 제36권6호
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    • pp.1021-1031
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    • 1999
  • In this paper we introduce matrix representations of polygroups over hyperrings and show such representations induce representations of the fundamental group over the corresponding fundamental ring. We also introduce the notion of a polygroup hyperring generalizing the notion of a group ring. We establish homo-morphisms among various polygroup hyperrings.

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COMMUTATIVE RINGS DERIVED FROM FUZZY HYPERRINGS

  • Davvaz, Bijan;Firouzkouhi, Narjes
    • 호남수학학술지
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    • 제42권2호
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    • pp.219-234
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    • 2020
  • The fundamental relation on a fuzzy hyperring is defined as the smallest equivalence relation, such that the quotient would be the ring, that is not commutative necessarily. In this paper, we introduce a new fuzzy strongly regular equivalence on fuzzy hyperrings, where the ring is commutative with respect to both sum and product. With considering this relation on fuzzy hyperring, the set of the quotient is a commutative ring. Also, we introduce fundamental functor between the category of fuzzy hyperrings and category of commutative rings and some related properties. Eventually, we introduce α-part in fuzzy hyperring and determine some necessary and sufficient conditions so that the relation α is transitive.

링형 압전 변환기의 면내 진동 특성 (In-plane Vibration Characteristics of Piezoelectric Ring Transducers)

  • 박춘광;김진오
    • 한국소음진동공학회논문집
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    • 제24권10호
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    • pp.780-787
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    • 2014
  • This paper experimentally deals with the vibration characteristics of flat ring transducers used for ultrasonic sensors and actuators. Radial vibration mode, which is the fundamental mode of a thin piezoelectric transducer, was measured by a laser in-plane vibrometer. An impedance analyzer was used to measure natural frequencies. The results measured by experiments verified theoretical predictions. The vibration characteristics of ring transducers were identified according to the outer diameter size. The shape of the fundamental mode is almost uniform but slightly decreases from the inner to the outer circumferential surfaces. The natural frequency of the fundamental mode decreases as the outer diameter increases. It appears that the ring type transducer is suitable to excite uniformly distributed vibration on a flat surface.

QUOTIENT STRUCTURE OF A SEMINEAR-RING

  • Lee, Sang-Han;Yon, Yong-Ho
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.289-295
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    • 2000
  • In this note, we define a ${Q^*}-ideal$ in a seminear-ring which is analogous of a Q-ideal in a semiring, and we construct a quotient seminear-ring. Also, We prove the fundamental theorem of homomorphisms for seminear-rings.

Fuzzy algebraic structures of $L$-fuzzy ideals of $L$-fuzzy ring

  • Lee, Hyo-Sam
    • 한국수학사학회지
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    • 제12권2호
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    • pp.151-158
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    • 1999
  • In this paper, the concepts of semiprime $L$-fuzzy ideals and semiprimary $L$-fuzzy ideals of a $L$-fuzzy ring are introduced and some fundamental propositions proved. And we investigate the relation between fuzzy nil radical and semiprimary.

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소음 차단링을 이용한 구조물의 음향진동 차단 특성 연구 (Acoustic and Vibration Isolation Characteristics Using SNORE Ring in the Structure)

  • 이종길;구정모;조치영
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2010년도 추계학술대회 논문집
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    • pp.336-337
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    • 2010
  • In the underwater veicle self-noise from the propeller reduces the sensor sensitivity. To increase the sensor sensitivity SNORE ring(Self-noise reduction ring) has been used. In this paper to calculate the effectiveness of the SNORE ring and de-coupeler numerical simulation is conducted. Based on the simulation results CRP(Carbon reinforced plastic)and SNORE ring reduced noise and vibration.

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센서 네트워크를 위한 2.4 GHz 저잡음 커플드 링 발진기 (A 2.4 GHz Low-Noise Coupled Ring Oscillator with Quadrature Output for Sensor Networks)

  • 심재훈
    • 센서학회지
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    • 제28권2호
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    • pp.121-126
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    • 2019
  • The voltage-controlled oscillator is one of the fundamental building blocks that determine the signal quality and power consumption in RF transceivers for wireless sensor networks. Ring oscillators are attractive owing to their small form factor and multi-phase capability despite the relatively poor phase noise performance in comparison with LC oscillators. The phase noise of a ring oscillator can be improved by using a coupled structure that works at a lower frequency. This paper introduces a 2.4 GHz low-noise ring oscillator that consists of two 3-stage coupled ring oscillators. Each sub-oscillator operates at 800 MHz, and the multi-phase signals are combined to generate a 2.4 GHz quadrature output. The voltage-controlled ring oscillator designed in a 65-nm standard CMOS technology has a tuning range of 800 MHz and exhibits the phase noise of -104 dBc/Hz at 1 MHz offset. The power consumption is 13.3 mW from a 1.2 V supply voltage.