On modules related to McCoy modules

on direct sums of baer modules

the notion of baer modules was defined recently

dedekind modules and dimension of modules

در این پایان نامه، در ابتدا برای مدول ها روی دامنه های پروفر شرایط معادل به دست آورده ایم و خواصی از ددکیند مدول ها روی دامنه های پروفر مشخص کرده ایم. در ادامه برای ددکیند مدول های با تولید متناهی روی حلقه های به طور صحیح بسته شرایط معادل به دست آورده ایم و ددکیند مدول های ضربی را مشخص کرده ایم. گزاره هایی در مورد بعد ددکیند مدول ها بیان کرده ایم. در پایان، قضایای lying over و going down را برا...

Generalized Derivations on Modules

Intersection of modules related to Macdonald's polynomials

This work studies the intersection of certain k-tuples of Garsia-Haiman Sn-modules Mµ. We recall that in [4], for µn, Mµ is defined as the linear span of all partial derivatives of a certain bihomogeneous polynomial ∆µ(X,Y) in the variables It has been conjectured that Mµ has n! dimensions and that its bigraded Frobenius characteristic is given by a renormalized version of Macdonald's polynomia...

Classes of Modules Related to Serre Subcategories

Let R be an associative ring with non-zero identity. For a Serre subcategory C of the category R-mod of left R-modules, we consider the class AC of all modules that do not belong to C, but all of their proper submodules belong to C. Alongside of basic properties of such associated classes of modules, we will prove that every uniform module of AC has a local endomorphism ring. Moreover, if R is ...