• Bulletin of the Korean Mathematical Society
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• v.36 no.4
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• pp.717-722
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• 1999

The set of continuous maps of a space X to real usual space R equipped with the toplogy of pointwise convergence will be denoted by $C_p$(X). In this paper, we prove that; $C_p$(X) is hereditarily separable and hereditary Lindelof if and only if $X^n$ is hereditarily separable and hereditary Lindelof.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.967-974
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• 1996

We discuss contraction operators T in the class A, where A is the class of absolutely continuus contractions for which the Sz.-Nagy-Foias functional calculus is isometry. We obtain relationship between the class $A_{n, \aleph_0}$ and hereditary property $(\tilde{P}_n)$.

• Kyungpook Mathematical Journal
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• v.19 no.2
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• pp.205-211
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• 1979

In this paper we continue the study of formation radical (F-radical) classes initiated in [3]. Hereditary and stronger properties of F-radical classes are discussed by giving construction for lower hereditary, lower stronger and lower strongly hereditary F-radical classes containing a given class M. It is shown that the Baer F-radical B is the lower strongly hereditary F-radical class containing the class of all nilpotent ideals and it is the upper radical class with $\{(I,\;N){\mid}N{\in}C,\;N\;is\;prime\}{\subset}SB$ where SB denotes the semisimple F-radical class of B and C is an arbitrary but fixed class of homomorphically closed near-rings. The existence of a largest F-radical class contained in a given class is examined using the concept of complementary F-radical introduced by Scott [5].

• Clinical and Experimental Pediatrics
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• v.60 no.3
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• pp.55-63
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• 2017

Advances in podocytology and genetic techniques have expanded our understanding of the pathogenesis of hereditary steroid-resistant nephrotic syndrome (SRNS). In the past 20 years, over 45 genetic mutations have been identified in patients with hereditary SRNS. Genetic mutations on structural and functional molecules in podocytes can lead to serious injury in the podocytes themselves and in adjacent structures, causing sclerotic lesions such as focal segmental glomerulosclerosis or diffuse mesangial sclerosis. This paper provides an update on the current knowledge of podocyte genes involved in the development of hereditary nephrotic syndrome and, thereby, reviews genotype-phenotype correlations to propose an approach for appropriate mutational screening based on clinical aspects.

• Communications of the Korean Mathematical Society
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• v.31 no.4
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• pp.857-868
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• 2016

Let (X, ${\mu}$) be a generalized topological space (GTS) and $\mathcal{H}$ be a hereditary class on X due to $Cs{\acute{a}}sz{\acute{a}}r$ [8]. In this paper, we define an operator $()^{\circ}:\mathcal{P}(X){\rightarrow}\mathcal{P}(X)$. By setting $c^{\circ}(A)=A{\cup}A^{\circ}$ for every subset A of X, we define the family ${\mu}^{\circ}=\{M{\subseteq}X:X-M=c^{\circ}(X-M)\}$ and show that ${\mu}^{\circ}$ is a GT on X such that ${\mu}({\theta}){\subseteq}{\mu}^{\circ}{\subseteq}{\mu}^*$, where ${\mu}^*$ is a GT in [8]. Moreover, we define and investigate ${\mu}^{\circ}$-codense and strongly ${\mu}^{\circ}$-codense hereditary classes.

• Bulletin of the Korean Mathematical Society
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• v.56 no.2
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• pp.373-382
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• 2019

In this note, we mainly discuss strongly Gorenstein hereditary rings. We prove that for any ring, the class of SG-projective modules and the class of G-projective modules coincide if and only if the class of SG-projective modules is closed under extension. From this we get that a ring is an SG-hereditary ring if and only if every ideal is G-projective and the class of SG-projective modules is closed under extension. We also give some examples of domains whose ideals are SG-projective.

• Kyungpook Mathematical Journal
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• v.60 no.4
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• pp.711-721
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• 2020

The concepts of an Amitsur ring and a hereditary Amitsur ring, which were introduced and studied by S. Tumurbat in a recent paper, are generalized. For a positive integer n, a ring A is said to be an n-Amitsur ring if γ(A[Xn]) = (γ(A[Xn]) ∩ A)[Xn] for all radicals γ, where A[Xn] is the polynomial ring over A in n commuting indeterminates. If a ring A satisfies the above equation for all hereditary radicals γ, then A is said to be a hereditary n-Amitsur ring. Characterizations and examples of these rings are provided. Moreover, new radicals associated with n-Amitsur rings are introduced and studied. One of these is a special radical and its semisimple class is polynomially extensible.

• Bulletin of the Korean Mathematical Society
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• v.60 no.4
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• pp.895-903
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• 2023

In this paper, we give some results on 2-strongly Gorenstein projective modules and related rings. We first investigate the relationship between strongly Gorenstein projective modules and periodic modules and then give the structure of modules over strongly Gorenstein semisimple rings. Furthermore, we prove that a ring R is 2-strongly Gorenstein hereditary if and only if every ideal of R is Gorenstein projective and the class of 2-strongly Gorenstein projective modules is closed under extensions. Finally, we study the relationship between 2-Gorenstein projective hereditary and 2-Gorenstein projective semisimple rings, and we also give an example to show the quotient ring of a 2-Gorenstein projective hereditary ring is not necessarily 2-Gorenstein projective semisimple.

• Clinical and Experimental Pediatrics
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• v.49 no.10
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• pp.1111-1115
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• 2006

Hereditary pancreatitis is an autosomal dominant disease characterized by recurrent episodes of pancreatitis, often beginning in childhood, with a positive family history involving at least two other affected family members with no known other precipitating factors. Most forms of hereditary pancreatitis are caused by one of two common mutations, i.e., R122H in exon 3 and N29I in exon 2 of the cationic trypsinogen (CT) (PRSS1) gene, located on chromosome 7. The authors describe the case of a 15-year-old boy who had suffered from recurrent attacks of pancreatitis since age three. His mother and grandmother had chronic pancreatitis and diabetes mellitus. Mutation analysis was performed on the family due to the suspicion of hereditary pancreatitis. The CT gene was analyzed in DNA samples extracted from the peripheral blood of three family members, the mother, the proband, and the proband's sister. Two members of the family, the mother and the proband, were found to have a N29I mutation in the CT gene. The authors document the first family with hereditary pancreatitis associated with the N29I mutation in Korea.

• Women's Health Nursing
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• v.25 no.4
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• pp.365-378
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• 2019

Purpose: The awareness of hereditary breast and ovarian cancer (HBOC) and BRCA testing is increasing in Korea. Compared to the sizable research on HBOC knowledge among breast cancer women, studies in the ovarian cancer population are limited. This paper aimed to investigate the level of knowledge of hereditary ovarian cancer and anxiety in women diagnosed with serous ovarian cancer in Korea and determine differences in the knowledge and anxiety according to whether genetic testing was undertaken and whether BRCA1 or BRCA2 mutations were present. Methods: Using a descriptive research design, a cross-sectional survey was conducted on 100 women diagnosed with serous ovarian cancer at N hospital in Gyeonggi-do, Korea, from July to November 2018. The collected data were analyzed by descriptive statistics, independent t-tests, one-way analysis of variance, and Pearson's correlation coefficient using the SPSS 21.0 program. Results: The hereditary ovarian cancer-related knowledge score was mid-level (mean score 8.90±3.29 out of a total of 17), as was the state anxiety level was mid-level (mean score 47.96±3.26 out of possible score range of 20-80). Genetic knowledge of hereditary ovarian cancer was associated with age, education, occupation, genetic counseling, and BRCA mutations. There were no statistically significant factors related to anxiety and there were no statistically significant correlations between knowledge level and anxiety. Conclusion: More comprehensive education on gene-related cancer is needed for ovarian cancer patients, especially for items with low knowledge scores. A genetic counseling protocol should be developed to allow more patients to alleviate their anxiety through genetic counseling.