• 제목/요약/키워드: primary

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ON WEAKLY COMPLETELY QUASI PRIMARY AND COMPLETELY QUASI PRIMARY IDEALS IN TERNARY SEMIRINGS

  • Yiarayong, Pairote
    • 대한수학회논문집
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    • 제31권4호
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    • pp.657-665
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    • 2016
  • In this investigation we studied completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Some characterizations of completely quasi primary and weakly completely quasi primary ideals were obtained. Moreover, we investigated relationships between completely quasi primary and weakly completely quasi primary ideals in ternary semirings. Finally, we obtained necessary and sufficient conditions for a weakly completely quasi primary ideal to be a completely quasi primary ideal.

ON GRADED 2-ABSORBING PRIMARY AND GRADED WEAKLY 2-ABSORBING PRIMARY IDEALS

  • Al-Zoubi, Khaldoun;Sharafat, Nisreen
    • 대한수학회지
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    • 제54권2호
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    • pp.675-684
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    • 2017
  • Let G be a group with identity e and let R be a G-graded ring. In this paper, we introduce and study graded 2-absorbing primary and graded weakly 2-absorbing primary ideals of a graded ring which are different from 2-absorbing primary and weakly 2-absorbing primary ideals. We give some properties and characterizations of these ideals and their homogeneous components.

ON STRONGLY 1-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS

  • Almahdi, Fuad Ali Ahmed;Bouba, El Mehdi;Koam, Ali N.A.
    • 대한수학회보
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    • 제57권5호
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    • pp.1205-1213
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    • 2020
  • Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce a subclass of the class of 1-absorbing primary ideals called the class of strongly 1-absorbing primary ideals. A proper ideal I of R is called strongly 1-absorbing primary if whenever nonunit elements a, b, c ∈ R and abc ∈ I, then ab ∈ I or c ∈ ${\sqrt{0}}$. Firstly, we investigate basic properties of strongly 1-absorbing primary ideals. Hence, we use strongly 1-absorbing primary ideals to characterize rings with exactly one prime ideal (the UN-rings) and local rings with exactly one non maximal prime ideal. Many other results are given to disclose the relations between this new concept and others that already exist. Namely, the prime ideals, the primary ideals and the 1-absorbing primary ideals. In the end of this paper, we give an idea about some strongly 1-absorbing primary ideals of the quotient rings, the polynomial rings, and the power series rings.

일차진료의사 양성과 전문의수련제도 (Primary Care Physicians and Residency Training Programs in Korea)

  • 김병익
    • 보건행정학회지
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    • 제9권2호
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    • pp.139-156
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    • 1999
  • Recent changes in the health care environment have directed increasing attention to the number and specialty mix of practicing physicians. A major concern identified in Korean health care system is the serious oversupply of specialists and a relative lack of primary care physicians. Currently only 21% of Korean physicians are primary care physicians(general practitioners and family physicians), and less than 10% of recent medical school graduates are choosing to enter primary care. More primary care physicians are needed to deal with major problems in the current health care system, such as cost and access. The infrastructure that relies on primary care physicians is needed to deliver cost-effective and efficient care. To achieve a better balance of primary care to non-primary care physicians. more medical students need to choose careers in one of the primary care specialties(family medicine. internal medicine and pediatrics). This paper suggests the necessity of reforming the Korean graduate medical education system, that is, establishing the path of training primary care physicians in internal medicine and pediatrics residency training programs.

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Exocrine pancreatic cancer as a second primary malignancy: A population-based study

  • Mee Joo Kang;Jiwon Lim;Sung-Sik Han;Hyeong Min Park;Sung Chun Cho;Sang-Jae Park;Sun-Whe Kim;Young-Joo Won
    • 한국간담췌외과학회지
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    • 제27권4호
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    • pp.415-422
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    • 2023
  • Backgrounds/Aims: Although cancer survivors are at higher risk of developing second primary malignancies, cancer surveillance strategies for them have not yet been established. This study aimed to identify first primary cancers that had high risks of developing second primary exocrine pancreatic cancer (EPC). Methods: Data on individuals diagnosed with primary cancers between 1993 and 2017 were obtained from the Korea Central Cancer Registry. The standardized incidence ratios (SIRs) of second primary EPCs were analyzed according to the primary tumor sites and follow-up periods. Results: Among the 3,205,840 eligible individuals, 4,836 (0.15%) had second primary EPCs, which accounted for 5.8% of the total EPC patients in Korea. Between 1 and 5 years after the diagnosis of first primary cancers, SIRs of second primary EPCs were increased in patients whose first primary cancers were in the bile duct (males 2.99; females 5.03) in both sexes, and in the small intestine (3.43), gallbladder (3.21), and breast (1.26) in females. Among those who survived 5 or more years after the diagnosis of first primary cancers, SIRs of second primary EPCs were elevated in patients whose first primary cancers were in the bile duct (males 2.61; females 2.33), gallbladder (males 2.29; females 2.22), and kidney (males 1.39; females 1.73) in both sexes, and ovary (1.66) and breast (1.38) in females. Conclusions: Survivors of first primary bile duct, gallbladder, kidney, ovary, and female breast cancer should be closely monitored for the occurrence of second primary EPCs, even after 5 years of follow-up.

On Graded 2-Absorbing and Graded Weakly 2-Absorbing Primary Ideals

  • Soheilnia, Fatemeh;Darani, Ahmad Yousefian
    • Kyungpook Mathematical Journal
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    • 제57권4호
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    • pp.559-580
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    • 2017
  • Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper, we define the concept of graded 2-absorbing and graded weakly 2-absorbing primary ideals of commutative G-graded rings with non-zero identity. A number of results and basic properties of graded 2-absorbing primary and graded weakly 2-absorbing primary ideals are given.

PERFORMANCE ANALYSIS OF COGNITIVE NETWORK WITH PRIMARY AND SECONDARY CHANNELS

  • Lee, Yutae
    • East Asian mathematical journal
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    • 제29권1호
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    • pp.101-107
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    • 2013
  • We consider a cognitive network with a primary and a secondary channel. Primary users have higher priority on the usage of the primary channel, and secondary users are allowed to opportunistically access the primary channel at times when the channel is not occupied by primary users. The secondary channel is dedicated only to secondary users. An analytical model is presented to obtain the performance of an opportunistic spectrum access using both the primary and secondary channels, and is validated by simulations.

한국인(韓國人)의 유치(乳齒) 맹출시기(萌出時期)에 대(對)한 연구(硏究) (STUDIES ON ERUPTIVE STAGES OF PRIMARY DENTITION IN KOREAN INFANTS)

  • 조영호
    • 대한소아치과학회지
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    • 제4권1호
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    • pp.7-18
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    • 1977
  • The author carried out to determine the normal range of eruptive time, average age and order of eruption of primary teeth in korean infants. The examimation was given to 1757 healty infants(Male 1032, female 725) from afterbirth 4 months to 32 months. The results was as fallows. 1. The eruption of primary teeth was 0.57 months earlier in male than in female. 2. The average month of eruption of primary teeth was as follows; Upper primary central is $9.66{\pm}0.19$ months Upper primary lateral is $11.58{\pm}0.18$ months. Upper primary canine is $18.06{\pm}0.32$ months. Upper first primary molar is $16.45{\pm}0.29$ months. Upper second primary molar is $24.28{\pm}0.51$ months. Lower primary central is $7.50{\pm}0.12$ months. Lower primary lateral is $12.87{\pm}0.16$ months. Lower primary camine is $18.82{\pm}0.34$ months. Lower first primary molar is $17.66{\pm}0.37$ months. Lower second primary molar is $23.89{\pm}0.51$ months. 3. The eruptive order of the korean is different from that of the American and same to that of Japanese. 4. There is no significant right and left arch. 5. Generally, the eruption of primary teeth on the upper is 1.08 months earlier than on the lower; but the upper central is 2.16 months later than the lower and the upper second primary is 0.39 months later than the lower.

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SOME RESULTS ON 1-ABSORBING PRIMARY AND WEAKLY 1-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS

  • Nikandish, Reza;Nikmehr, Mohammad Javad;Yassine, Ali
    • 대한수학회보
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    • 제58권5호
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    • pp.1069-1078
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    • 2021
  • Let R be a commutative ring with identity. A proper ideal I of R is called 1-absorbing primary ([4]) if for all nonunit a, b, c ∈ R such that abc ∈ I, then either ab ∈ I or c ∈ ${\sqrt{1}}$. The concept of 1-absorbing primary ideals in a polynomial ring, in a PID and in idealization of a module is studied. Moreover, we introduce weakly 1-absorbing primary ideals which are generalization of weakly prime ideals and 1-absorbing primary ideals. A proper ideal I of R is called weakly 1-absorbing primary if for all nonunit a, b, c ∈ R such that 0 ≠ abc ∈ I, then either ab ∈ I or c ∈ ${\sqrt{1}}$. Some properties of weakly 1-absorbing primary ideals are investigated. For instance, weakly 1-absorbing primary ideals in decomposable rings are characterized. Among other things, it is proved that if I is a weakly 1-absorbing primary ideal of a ring R and 0 ≠ I1I2I3 ⊆ I for some ideals I1, I2, I3 of R such that I is free triple-zero with respect to I1I2I3, then I1I2 ⊆ I or I3 ⊆ I.