scholarly journals Specialization method in Krull dimension two and Euler system theory over normal deformation rings

2018 ◽  
Vol 43 (2) ◽  
pp. 357-409
Author(s):  
Tadashi Ochiai ◽  
Kazuma Shimomoto
Keyword(s):  
System Theory ◽  
Euler System ◽  
Krull Dimension ◽  
Normal Deformation ◽  
Deformation Rings

scholarly journals Bertini theorem for normality on local rings in mixed characteristic (applications to characteristic ideals)

2015 ◽  
Vol 218 ◽  
pp. 125-173
Author(s):  
Tadashi Ochiai ◽  
Kazuma Shimomoto
Keyword(s):  
System Theory ◽  
Deformation Theory ◽  
Galois Representations ◽  
Hyperplane Section ◽  
Euler System ◽  
Local Rings ◽  
Local Domain ◽  
Strong Version ◽  
Mixed Characteristic ◽  
Torsion Modules

AbstractIn this article, we prove a strong version of the local Bertini theorem for normality on local rings in mixed characteristic. The main result asserts that a generic hyperplane section of a normal, Cohen–Macaulay, and complete local domain of dimension at least 3 is normal. Applications include the study of characteristic ideals attached to torsion modules over normal domains, which is fundamental in the study of Euler system theory, Iwasawa's main conjectures, and the deformation theory of Galois representations.

scholarly journals Bertini theorem for normality on local rings in mixed characteristic (applications to characteristic ideals)

2015 ◽  
Vol 218 ◽  
pp. 125-173 ◽  
Author(s):  
Tadashi Ochiai ◽  
Kazuma Shimomoto
Keyword(s):  
System Theory ◽  
Deformation Theory ◽  
Galois Representations ◽  
Hyperplane Section ◽  
Euler System ◽  
Local Rings ◽  
Local Domain ◽  
Strong Version ◽  
Mixed Characteristic ◽  
Torsion Modules

AbstractIn this article, we prove a strong version of the local Bertini theorem for normality on local rings in mixed characteristic. The main result asserts that a generic hyperplane section of a normal, Cohen–Macaulay, and complete local domain of dimension at least 3 is normal. Applications include the study of characteristic ideals attached to torsion modules over normal domains, which is fundamental in the study of Euler system theory, Iwasawa's main conjectures, and the deformation theory of Galois representations.

Prediction of Technical Reserves Based on Grey Model — GM(1,1): Evidence from Non-life Egyptian Insurance Market

2019 ◽  
Vol 10 (9) ◽  
pp. 852-860
Author(s):  
Mahmoud Elsayed ◽  
◽  
Amr Soliman ◽  
Keyword(s):  
System Theory ◽  
Grey System Theory ◽  
Insurance Market ◽  
Grey Model ◽  
Loss Ratio ◽  
Grey System ◽  
Mathematical Technique ◽  
Supervisory Authority ◽  
Error Ratio ◽  
Using Data

Grey system theory is a mathematical technique used to predict data with known and unknown characteristics. The aim of our research is to forecast the future amount of technical reserves (outstanding claims reserve, loss ratio fluctuations reserve and unearned premiums reserve) up to 2029/2030. This study applies the Grey Model GM(1,1) using data obtained from the Egyptian Financial Supervisory Authority (EFSA) over the period from 2005/2006 to 2015/2016 for non-life Egyptian insurance market. We found that the predicted amounts of outstanding claims reserve and loss ratio fluctuations reserve are highly significant than the unearned premiums reserve according to the value of Posterior Error Ratio (PER).

Penerapan Hukum Wakaf Uang di Indonesia Perspektif Legal System Theory

2018 ◽  
Vol 11 (1) ◽  
pp. 79-92 ◽  
Author(s):  
Masdar Masdar
Keyword(s):  
System Theory ◽  
Law Enforcement ◽  
Legal System ◽  
Legal Culture ◽  
Point Of View ◽  
Law Enforcement Agencies ◽  
Muslim Society ◽  
The Law ◽  
The Government

Cash waqf in Indonesia has been long enough implemented based on some rules enacted by government and other rules defined by The Waqf Board of Indonesia (BWI). However, the implementation of cash waqf has not reached the level of success. Therefore, this article studies the application of cash waqf law in Indonesia according to Friedman’s legal system theory. The legal system theory of Friedman firstly looks at the substance of the law, which is the rules or regulations; and secondly it examines the structure of the law, encompassing the law enforcement agencies, such as judge, prosecutor, police and legal counselors. And lastly the theory examines the element of legal culture, which is a response from Muslim society. The first two examinations indicate that there is nothing to be a problem. But from the last examination there is a problem regarding the trust from Muslim society. From the legal culture point of view, the implementation of cash waqf by the government, which is performed by BWI, needs attracting society’s credentials in order to improve and maximize the performance of cash waqf in Indonesia.

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