Dependence in rings. II. The dependence number
نویسندگان
چکیده
منابع مشابه
AN INTEGRAL DEPENDENCE IN MODULES OVER COMMUTATIVE RINGS
In this paper, we give a generalization of the integral dependence from rings to modules. We study the stability of the integral closure with respect to various module theoretic constructions. Moreover, we introduce the notion of integral extension of a module and prove the Lying over, Going up and Going down theorems for modules.
متن کاملan integral dependence in modules over commutative rings
in this paper, we give a generalization of the integral dependence from rings to modules. we study the stability of the integral closure with respect to various module theoretic constructions. moreover, we introduce the notion of integral extension of a module and prove the lying over, going up and going down theorems for modules.
متن کاملConditional Dependence in Longitudinal Data Analysis
Mixed models are widely used to analyze longitudinal data. In their conventional formulation as linear mixed models (LMMs) and generalized LMMs (GLMMs), a commonly indispensable assumption in settings involving longitudinal non-Gaussian data is that the longitudinal observations from subjects are conditionally independent, given subject-specific random effects. Although conventional Gaussian...
متن کاملTemperature dependence of isotope ratios in tree rings.
The stable isotope ratios of carbon, oxygen, and hydrogen have been measured for a German oak in wood samples of roughly three years each, for the years 1712-1954 A.D., and correlated with the existing weather records from England, Basel, and Geneva to evaluate the empirical temperature coefficients. Isotope ratios in a second official oak, measured for the years 1530-1800 A.D., show the cold t...
متن کاملRadiological Dependence in Diagnosis of Pulmonary Tuberculosis
Introduction: Diagnosis of tuberculosis under the National Tuberculosis Control Program (NTCP) is based on microscopic examination of sputum. The main objective of this study was to assess the perception of physicians and patients regarding the importance of chest X-ray in diagnosing pulmonary tuberculosis with a view to suggest corrective measures. Materials & Methods: One hundred and eight...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1969
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1969-0279122-1