Asymptotic behavior of parameter ideals in generalized Cohen–Macaulay modules

injective modules and prime ideals

محور اصلی این پایان نامه، r- مدولهای a – انژکتیو می باشد که آنها را به عنوان یک تعمیم از مدول های انژکتیو معرفی می کنیم. در ابتدا مدول های انژکتیو را معرفی کرده، سپس برخی نتایج مهم وشناخته شده مدول های انژکتیو را به مدول های a – انژکتیو تعمیم می دهیم. در ادامه رابطه بین مدول های a – انژکتیو و حلقه های نوتری را بررسی می کنیم. پس هدف کلی این پایان نامه این است که با بررسی انژکتیو بودن ایده آله...

Asymptotic behaviour of graded components of local cohomology modules

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Permanency and Asymptotic Behavior of The Generalized Lotka-Volterra Food Chain System

In the present paper a generalized Lotka-Volterra food chain system has been studied and also its dynamic behavior such as locally asymptotic stability has been analyzed in case of existing interspecies competition. Furthermore, it has been shown that the said system is permanent (in the sense of boundedness and uniformly persistent). Finally, it is proved that the nontrivial equilibrium point...

Asymptotic Behavior of Generalized Eigenfunctions in N-body Scattering

In this paper an asymptotic expansion is proved for locally (at infinity) outgoing functions on asymptotically Euclidian spaces. This is applied to N-body scattering where the two-body interactions are one-step polyhomogeneous symbols of order −1 or −2 (hence long-range and short-range respectively). The asymptotic behavior of the N-body resolvent applied to Schwartz functions is thereby deduce...

Generalized Derivations on Modules