• 제목/요약/키워드: *-derivation

검색결과 2,161건 처리시간 0.031초

External exposure specific analysis for radiation worker in reuse of containment building for Kori Unit 1

  • Byon, Jihyang;Park, Sangjune;Kim, Yangjin;Ahn, Seokyoung
    • Nuclear Engineering and Technology
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    • 제54권5호
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    • pp.1781-1788
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    • 2022
  • The containment building Kori Unit 1 may require sequential steps for full decommissioning. This study assumes that the containment building is to be used as an auxiliary building that handles nuclear power systems and materials during decommissioning before conversion into a greenfield. Through the derivation of guidelines and dose evaluation, it was confirmed whether the radiation workers were satisfied with the ALARA decision. The specific modeling of the external radiation exposure was performed based on the facility investigation procedures. The external radiation specific derived concentration guideline levels (DCGLs) for radiation workers in containment building were obtained using the RESRAD-BUILD code and were applied to the VISIPLAN 3D ALARA Planning Tool code to calculate the working dose and check worker safety. The derivation of site-specific and realistic DCGLs and dose evaluation via 3D modeling can contribute to the scenario development for the decommission and remediation of containment building.

JORDAN 𝒢n-DERIVATIONS ON PATH ALGEBRAS

  • Adrabi, Abderrahim;Bennis, Driss;Fahid, Brahim
    • 대한수학회논문집
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    • 제37권4호
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    • pp.957-967
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    • 2022
  • Recently, Brešar's Jordan {g, h}-derivations have been investigated on triangular algebras. As a first aim of this paper, we extend this study to an interesting general context. Namely, we introduce the notion of Jordan 𝒢n-derivations, with n ≥ 2, which is a natural generalization of Jordan {g, h}-derivations. Then, we study this notion on path algebras. We prove that, when n > 2, every Jordan 𝒢n-derivation on a path algebra is a {g, h}-derivation. However, when n = 2, we give an example showing that this implication does not hold true in general. So, we characterize when it holds. As a second aim, we give a positive answer to a variant of Lvov-Kaplansky conjecture on path algebras. Namely, we show that the set of values of a multi-linear polynomial on a path algebra KE is either {0}, KE or the space spanned by paths of a length greater than or equal to 1.

양산천 수위-유량 관계곡선의 유도에 관한 연구 (A Study on Derivation of Rating Curve for Yangsan River)

  • 이용희;이상배
    • 한국항만학회지
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    • 제12권1호
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    • pp.131-143
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    • 1998
  • This paper presents derivation of stage-discharge curve for Yangsan river. To derivate of stage-discharge lationship is one of the essential research areas in the water resource field. It provides reliable data a long term planning and hydrologic quantity on water resource development by quantitative analysis. The rating curve derivated through 15 discharge-observation on Yangsan river basin in 1997 has been estimated Q=1283.0262-1553.3158H+477.2702H2. According to the rating curve, the highest water level 2.6m, the limited water-level should be bound to the maximum of 2.6m. Before this research, stage-discharge curve of Yangsan river has not been developed, and only 15 discharge observation(hydrometry) has been carried out though this research. Therefore it seems necessary to collect observation data through a long term process to obtain a reliable rating curve equation.

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On n-skew Lie Products on Prime Rings with Involution

  • Ali, Shakir;Mozumder, Muzibur Rahman;Khan, Mohammad Salahuddin;Abbasi, Adnan
    • Kyungpook Mathematical Journal
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    • 제62권1호
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    • pp.43-55
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    • 2022
  • Let R be a *-ring and n ≥ 1 be an integer. The objective of this paper is to introduce the notion of n-skew centralizing maps on *-rings, and investigate the impact of these maps. In particular, we describe the structure of prime rings with involution '*' such that *[x, d(x)]n ∈ Z(R) for all x ∈ R (for n = 1, 2), where d : R → R is a nonzero derivation of R. Among other related results, we also provide two examples to prove that the assumed restrictions on our main results are not superfluous.

MULTIPLICATIVE (GENERALIZED) (𝛼, 𝛽)-DERIVATIONS ON LEFT IDEALS IN PRIME RINGS

  • SHUJAT, FAIZA
    • Journal of Applied and Pure Mathematics
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    • 제4권1_2호
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    • pp.1-7
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    • 2022
  • A mapping T : R → R (not necessarily additive) is called multiplicative left 𝛼-centralizer if T(xy) = T(x)𝛼(y) for all x, y ∈ R. A mapping F : R → R (not necessarily additive) is called multiplicative (generalized)(𝛼, 𝛽)-derivation if there exists a map (neither necessarily additive nor derivation) f : R → R such that F(xy) = F(x)𝛼(y) + 𝛽(x)f(y) for all x, y ∈ R, where 𝛼 and 𝛽 are automorphisms on R. The main purpose of this paper is to study some algebraic identities with multiplicative (generalized) (𝛼, 𝛽)-derivations and multiplicative left 𝛼-centralizer on the left ideal of a prime ring R.

GENERALIZED ANTI-DERIVATIONS ON BANACH ALGEBRAS

  • Park, Chun-Gil
    • 충청수학회지
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    • 제16권1호
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    • pp.97-101
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    • 2003
  • We investigate generalized Baxter equations on Banach algebras. This is applied to understand generalized anti-derivations on Banach *-algebras.

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