• Title/Summary/Keyword: 2-regular

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ON STRONGLY REGULAR NEAR-SUBTRACTION SEMIGROUPS

  • Dheena, P.;Kumar, G. Satheesh
    • Communications of the Korean Mathematical Society
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    • v.22 no.3
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    • pp.323-330
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    • 2007
  • In this paper we introduce the notion of strongly regular near-subtraction semigroups (right). We have shown that a near-subtraction semigroup X is strongly regular if and only if it is regular and without non zero nilpotent elements. We have also shown that in a strongly regular near-subtraction semigroup X, the following holds: (i) Xa is an ideal for every a $\in$ X (ii) If P is a prime ideal of X, then there exists no proper k-ideal M such that P $\subset$ M (iii) Every ideal I of X fulfills $I=I^2$.

Weakly np-Injective Rings and Weakly C2 Rings

  • Wei, Junchao;Che, Jianhua
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.93-108
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    • 2011
  • A ring R is called left weakly np- injective if for each non-nilpotent element a of R, there exists a positive integer n such that any left R- homomorphism from $Ra^n$ to R is right multiplication by an element of R. In this paper various properties of these rings are first developed, many extending known results such as every left or right module over a left weakly np- injective ring is divisible; R is left seft-injective if and only if R is left weakly np-injective and $_RR$ is weakly injective; R is strongly regular if and only if R is abelian left pp and left weakly np- injective. We next introduce the concepts of left weakly pp rings and left weakly C2 rings. In terms of these rings, we give some characterizations of (von Neumann) regular rings such as R is regular if and only if R is n- regular, left weakly pp and left weakly C2. Finally, the relations among left C2 rings, left weakly C2 rings and left GC2 rings are given.

Mechanical Properties and Garment Formability of PET/Spandex Stretch Fabrics (PET/스판덱스 스트레치 직물의 역학특성과 의류형성성능)

  • Kim, Hyunah
    • Journal of the Korean Society of Clothing and Textiles
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    • v.41 no.6
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    • pp.1098-1108
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    • 2017
  • This paper investigated stretchability with fabric mechanical properties of one-way and two-way stretch fabrics. For this purpose, 1-way and 2-way woven fabrics were prepared using 150d PET/spandex covered yarns with different thermal treatment according to 4 kinds of wet thermal machines subsequently, fabric mechanical properties were measured and compared with regular PET fabrics. In addition, the garment formability of stretch fabrics was predicted and compared to regular fabrics according to wet thermal treatment. The weft stretchability of 2-way stretch fabric was about 10% higher than the 1-way stretch fabric. The compressibility of the stretch fabrics was 1.5 times higher than regular fabrics. The compressibility of stretch fabrics treated with CPB and rope type wet thermal machine showed higher values than other types of wet thermal machines. The bending rigidity of 2-way stretch fabric was lower than 1-way stretch fabric. Shear rigidity of 2-way stretch fabric was higher than 1-way and regular fabrics. Garment formability of 2-way stretch fabric was higher than regular and one-way stretch fabrics. Garment formability of 2-way stretch fabrics treated with wet thermal conditions under low tension showed the highest values.

The Effects of Regular Health Education by School Nurses on Primary School Children's Health-related Knowledge and Behavior (양호교사에 의한 정기적 보건교육이 아동의 건강지식과 건강행위에 미치는 효과)

  • Kim, Suk
    • Journal of the Korean Society of School Health
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    • v.14 no.2
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    • pp.161-175
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    • 2001
  • In order to evaluate the erects of regular health education by a school nurse on a child's health-related knowledge and health-related behavior, a questionnaire survey was conducted with primary school students (4th, 5th, 6th grade) from December 5 to December 15, 1998. Subjects of the study were composed of two groups; one group who had regular health education by a school nurse and the other group who had no regular health education by a school nurse. The results obtained from the data analysis were as follows: 1. There was no significant difference in general characteristics between broth groups, but significant difference in parent-related characteristics and health-related characteristics were detected. 2. The health-related knowledge score was 21.98 in the regular health education group and 21.04 in the control group. There was significant differences between both groups (p<0.05). 3. Significant differences in the practice of health-related behaviors were detected between both groups (p<0.05). 4. The variables associated with the practice of health-related behaviors were regular health education, health-related knowledge, the education level of the mother, ignorance of health and parent's concern about the child's health (p<0.05). 5. The practice of regular health education was significantly related to the prevention of communicable disease, concern about health and total health behavior (p<0.05). From the above results, it can be concluded that there is a positive relationship between regular health education and the practice of health-related behavior after controlling other variables. According to the results, suggestions are as follows; 1. Evaluation of health-related knowledge and behaviors be conducted by the school nurse on pre and post-education. 2. The primary school student can be educated about health by the school nurse.

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The Effect of Health Exercise Program on the Body Composition, Cardiopulmonary Function, Physical Fitness in Middle-Aged Women (건강운동 프로그램이 중년여성의 신체조성과 심폐기능 및 체력에 미치는 영향)

  • 김도희
    • Korean Journal of Health Education and Promotion
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    • v.18 no.3
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    • pp.177-186
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    • 2001
  • The purpose of this study was to investigate the of regular worksite health exercise program participation on related fitness. Subject for study were 34 middle-aged women in Kwangju-city. To achieve this, body composition, cardiopulmonary function, physical fitness of every subjects were measured before and post regular health exercise program participation during 12 week. The results of this study were as follows: 1. Regular health exercise program participation result from improving the body composition, but there is not significant different statistically(p〈.05). 2. Significant differences were observed in the cardiopulmonary function(vital capacity, VO$_2$ max) after regular exercise program during 12 week(p〈.05). 3. Significant differences were observed in the flexibility(sitting trunk flexion), abdominal endurance(sit-ups), power (standing high jump), agility(trunk reaction time) after regular exercise program during 12 week(p〈.05).

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GROUP ACTIONS IN A REGULAR RING

  • HAN, Jun-Cheol
    • Bulletin of the Korean Mathematical Society
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    • v.42 no.4
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    • pp.807-815
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    • 2005
  • Let R be a ring with identity, X the set of all nonzero, nonunits of Rand G the group of all units of R. We will consider two group actions on X by G, the regular action and the conjugate action. In this paper, by investigating two group actions we can have some results as follows: First, if G is a finitely generated abelian group, then the orbit O(x) under the regular action on X by G is finite for all nilpotents x $\in$ X. Secondly, if F is a field in which 2 is a unit and F $\backslash\;\{0\}$ is a finitley generated abelian group, then F is finite. Finally, if G in a unit-regular ring R is a torsion group and 2 is a unit in R, then the conjugate action on X by G is trivial if and only if G is abelian if and only if R is commutative.

EXTENSIONS OF STRONGLY π-REGULAR RINGS

  • Chen, Huanyin;Kose, Handan;Kurtulmaz, Yosum
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.2
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    • pp.555-565
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    • 2014
  • An ideal I of a ring R is strongly ${\pi}$-regular if for any $x{\in}I$ there exist $n{\in}\mathbb{N}$ and $y{\in}I$ such that $x^n=x^{n+1}y$. We prove that every strongly ${\pi}$-regular ideal of a ring is a B-ideal. An ideal I is periodic provided that for any $x{\in}I$ there exist two distinct m, $n{\in}\mathbb{N}$ such that $x^m=x^n$. Furthermore, we prove that an ideal I of a ring R is periodic if and only if I is strongly ${\pi}$-regular and for any $u{\in}U(I)$, $u^{-1}{\in}\mathbb{Z}[u]$.

Efficient distributed estimation based on non-regular quantized data

  • Kim, Yoon Hak
    • Journal of IKEEE
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    • v.23 no.2
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    • pp.710-715
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    • 2019
  • We consider parameter estimation in distributed systems in which measurements at local nodes are quantized in a non-regular manner, where multiple codewords are mapped into a single local measurement. For the system with non-regular quantization, to ensure a perfect independent encoding at local nodes, a local measurement can be encoded into a set of a great number of codewords which are transmitted to a fusion node where estimation is conducted with enormous computational cost due to the large cardinality of the sets. In this paper, we propose an efficient estimation technique that can handle the non-regular quantized data by efficiently finding the feasible combination of codewords without searching all of the possible combinations. We conduct experiments to show that the proposed estimation performs well with respect to previous novel techniques with a reasonable complexity.

ON GENERALIZED (α, β)-DERIVATIONS IN BCI-ALGEBRAS

  • Al-Roqi, Abdullah M.
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.27-38
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    • 2014
  • The notion of generalized (regular) (${\alpha},\;{\beta}$)-derivations of a BCI-algebra is introduced, some useful examples are discussed, and related properties are investigated. The condition for a generalized (${\alpha},\;{\beta}$)-derivation to be regular is provided. The concepts of a generalized F-invariant (${\alpha},\;{\beta}$)-derivation and ${\alpha}$-ideal are introduced, and their relations are discussed. Moreover, some results on regular generalized (${\alpha},\;{\beta}$)-derivations are proved.

ON SOFT REGULAR-OPEN(CLOSED) SETS IN SOFT TOPOLOGICAL SPACES

  • HUSSAIN, SABIR
    • Journal of applied mathematics & informatics
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    • v.36 no.1_2
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    • pp.59-68
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    • 2018
  • In this paper, We define and explore the characterizations and properties of soft regular open(closed) and soft semi-regular sets in soft topological spaces. The properties of soft extremally disconnected spaces are also introduced and discussed. The findings in this paper will help researcher to enhance and promote further study on soft topology to carry out a general framework for their applications in practical life.