7,577 research outputs found
On H-epimorphisms and co-H-sequences in two-sided Harada rings
In [8] M. Harada studied a left artinian ring R such that every non-small left R-module contains a non-zero injective submodule. And in [13] K. Oshiro called the ring a left Harada ring (abbreviated left H-ring). We can see many results on left Harada rings in [6] and many equivalent conditions in [4, Theorem B]. In this paper, to characterize two-sided Harada rings, we intruduce new concepts “co-H-sequence” and “H-epimorphism” and study them
On H-epimorphisms and co-H-sequences in two-sided Harada rings
In [8] M. Harada studied a left artinian ring R such that every non-small left R-module contains a non-zero injective submodule. And in [13] K. Oshiro called the ring a left Harada ring (abbreviated left H-ring). We can see many results on left Harada rings in [6] and many equivalent conditions in [4, Theorem B]. In this paper, to characterize two-sided Harada rings, we intruduce new concepts “co-H-sequence” and “H-epimorphism” and study them
Uveo-Meningeal Syndromes: Vogt-Koyanagi-Harada (VKH) Disease
Ocular inflammatory symptoms with concurrent neuro-ophthalmologic manifestations can be diagnostically challenging. We provide a general overview of uveo-meningeal syndromes, which comprises a heterogeneous group of disorders that involve inflammation of the uveal tract, retina, and meninges. The presentation focuses on the uveomeningeal syndrome of Vogt-Koyanagi-Harada (VKH) Disease by providing a comprehensive overview of diagnostic criteria, pathogenesis, clinical course, and management. To demonstrate the heterogeneous clinical presentations and possible neuro-ophthalmological manifestations that can challenge diagnosis, we chronicle three cases of VKH seen at our institution and highlight the diagnostic work-up, management, and outcomes. This presentation summarizes a practical strategy for approaching the clinical heterogeneity of VKH.[1] Brazis PW, Stewart M, Lee A. The Uveo-Meningeal Syndromes. The Neurologist 2004, 10(4):171-184; [2] Tsuboyama M, Chandler JV, Scharf E, et al. Neurologic Complications of Acute Posterior Multifocal Placoid Pigment Epitheliopathy: A Case Series of 4 Patients. Neurohospitalist 2018; 8(3):146-151.; [3] Allegri P, Risotto R, Herbort CP, Murialdo U. CNS Disease and Uveitis. J Ophthalmic Vis Res. 2011; 6(4): 284-308.; [4] Lavezzo MM, Sakata VM, et al. Vogt-Koyanagi-Harada disease: review of a rare autoimmune disease targeting antigens of melanocytes. Ophanet Journal of Rare Diseases. 2016; 11: 29; [5] Read RW, Rao NA: Utility of existing Vogt-Koyanagi-Harada syndrome diagnostic criteria at initial evaluation of the individual patient: a retrospective analysis. Ocul Immunol Inflamm 2000; 8: pp. 227-234.; [6] Read RW, Rao NA, Cunningham ET. Vogt-Koyanagi-Harada Disease. Curr Opin Ophthal. 2000; 11(6):437-442; [7] Read RW, Holland GN, Rao NA, et. al.: Revised diagnostic criteria for Vogt-Koyanagi-Harada disease: report of an international committee on nomenclature. Am J Ophthalmol 2001; 131: pp. 647-652.; [8] Goto, Rao, and Rao. Ryan\u27s Retina 7th Edition 2022; 76, 1577-1589; [9] Feldman BH, O\u27Keefe GD, Salcedo HR, et al. Vogt-Koyanagi-Harada Disease. Eyewiki 2023. https://eyewiki.aao.org/Vogt-Koyanagi-Harada_Disease; [10] Dogan B, Erol MK, Cengiz A. Vogt-Koyanagi-Harada disease following BCG vaccination and tuberculosis. Springerplus. 2016; 5: 603; [11] Ferriera FT, Araujo DC, et al. Possible Association between Vogt-Koyanagi-Harada Disease and Coronavirus Disease Vaccine: A report for Four Cases. Ocul Immunol Inflamm. 2022; 1-7; [12] Rao NA, Gupta A, Dustin L, et al. Frequency of distinguishing clinical features in Vogt-Koyanagi-Harada disease. Ophthalmology 2010;117:591-9; [13] Weisz JM, Holland GN, Roer LN, et. al.: Association between Vogt-Koyanagi-Harada syndrome and HLA-DR1 and DR4 in Hispanic patients living in Southern California. Ophthalmology 1995; 102: pp. 1012-1015.; [14] Shi T, Lv W, Zhang L, Chen J, Chen H. Association of HLA-DR4/HLA-DRB1*04 with Vogt-Koyanagi-Harada disease: a systematic review and meta-analysis. Sci Rep. 2014 Nov 10;4:6887
Almost self-duality and Harada rings
AbstractThe existence of self-duality for left Harada rings was investigated by J. Kado and K. Oshiro [J. Algebra 211 (1999) 384–408]. Recently the author constructed examples of left Harada rings without self-duality [J. Algebra 241 (2001) 731–744]. In this paper, we investigate almost self-duality and rings of a certain class, which contains right co-Harada rings (equivalently left Harada rings). Here almost self-duality is a generalization of self-duality. The main purpose of the paper is to show that every ring of the class (particularly every right co-Harada ring) has an almost self-duality
On Quasi-Harada Rings
AbstractM. Harada (“Ring Theory, Proceedings of 1978 Antwerp Conference,” pp. 669–690, Dekker, New York, 1979) studied the following two conditions:(*) Every non-small leftR-module contains a non-zero injective submodule.(*)* Every non-cosmall rightR-module contains a non-zero projective direct summand.K. Oshiro (Hokkaido Math. J.13, 1984, 310–338) further studied the above conditions, and called a left artinian ring with (*) a left Harada ring (abbreviated left H-ring) and a ring satisfying the ascending chain condition for right annihilator ideals with (*)* a right co-Harada ring (abbreviated right co-H-ring). K. Oshiro (Math. J. Okayama Univ.31, 1989, 161–178) showed that left H-rings and right co-H-rings are the same rings. Here we are particularly interested in the following characterization of a left H-ring given in Harada's paper above: A ringRis a left H-ring if and only ifRis a perfect ring and for any left non-small primitive idempotenteofRthere exists a non-negative integertesuch that(a)RRe/Sk(RRe) is injective for anyk∈{0,…,te} and(b)RRe/Ste+1(RRe) is a small module, whereSk(RRe) denotes thek-th socle of the leftR-moduleRe.This characterization implies(+)Ste+1(RRe) is a uniserial leftR-module for any left non-small primitive idempotentein a left H-ringR.In this paper, we generalize left H-rings by removing (+). Concretely, since a left H-ringRis also characterized by the statement thatRis left artinian and for any primitive idempotentgofRthere exist a primitive idempotentegofRand a non-negative integerkgsuch that the injective hull of the leftR-moduleRg/Jgis isomorphic toRe/Skg(RReg), whereJis the Jacobson radical ofRR, we define a more general class of rings by the condition that for any primitive idempotentgofRthere exists a primitive idempotenteofRsuch that the injective hull of the leftR-moduleRg/Jgis isomorphic toRe/{x∈Re|gRx=0}, and call it a left quasi-Harada ring (abbreviated left QH ring). In Section 1 we characterize a left QH ring by generalizing the characterizations of a left H-ring given by M. Harada and K. Oshiro. We also consider the weaker rings, left QF-2 rings and right QF-2* rings. K. Oshiro (Math. J. Okayama Univ.32, 1990, 111–118) described the connection between left H-rings and QF rings. In Section 2 we describe the connection between two-sided QH rings and QF rings
94. Harada Magoshichirō (?- ?)
Iwao Seiichi, Sakamato Tarō, Hōgetsu Keigo, Yoshikawa Itsuji, Akiyama Terukazu, Iyanaga Teizō, Iyanaga Shōkichi, Matsubara Hideichi, Kanazawa Shizue. 94. Harada Magoshichirō (?- ?). In: Dictionnaire historique du Japon, volume 7, 1981. Lettre H (1) p. 62
95. Harada Naojirō (1863-1899)
Iwao Seiichi, Sakamato Tarō, Hōgetsu Keigo, Yoshikawa Itsuji, Akiyama Terukazu, Iyanaga Teizō, Iyanaga Shōkichi, Matsubara Hideichi, Kanazawa Shizue. 95. Harada Naojirō (1863-1899). In: Dictionnaire historique du Japon, volume 7, 1981. Lettre H (1) pp. 62-63
95. Harada Naojirō (1863-1899)
Iwao Seiichi, Sakamato Tarō, Hōgetsu Keigo, Yoshikawa Itsuji, Akiyama Terukazu, Iyanaga Teizō, Iyanaga Shōkichi, Matsubara Hideichi, Kanazawa Shizue. 95. Harada Naojirō (1863-1899). In: Dictionnaire historique du Japon, volume 7, 1981. Lettre H (1) pp. 62-63
Vogt-Koyanagi-Harada syndrome: A case report [Vogt-Koyanagi-Harada sendromu: Bir olgu sunumu]
Vogt-Koyanagi-Harada syndrome is a rare, inflammatory disease with manifestations affecting the ocular, central nervous, auditory-vestibular systems. It affects pigmented individuals between 20-50 years old. A 46-years-old female was admitted to our department with complaints of headache, dizziness, subconjunctival hemorrhage, and blurred vision. In ophthalmologic examination, she has papilledema and serous retinal detachment. She was diagnosed as Vogt-Koyanagi-Harada syndrome and treated in that way
96. Harada Toyokichi (1859-1894)
Iwao Seiichi, Sakamato Tarō, Hōgetsu Keigo, Yoshikawa Itsuji, Akiyama Terukazu, Iyanaga Teizō, Iyanaga Shōkichi, Matsubara Hideichi, Kanazawa Shizue. 96. Harada Toyokichi (1859-1894). In: Dictionnaire historique du Japon, volume 7, 1981. Lettre H (1) p. 63
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