نتایج جستجو برای: modules‎

تعداد نتایج: 57807  

Journal: :bulletin of the iranian mathematical society 2012
s agayev s halicioglu a harmanci

let $r$ be an arbitrary ring with identity and $m$ a right $r$-module with $s=$ end$_r(m)$. the module $m$ is called {it rickart} if for any $fin s$, $r_m(f)=se$ for some $e^2=ein s$. we prove that some results of principally projective rings and baer modules can be extended to rickart modules for this general settings.

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه شهید باهنر کرمان - دانشکده ریاضی و کامپیوتر 1388

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...

Journal: :bulletin of the iranian mathematical society 2011
m. aghapournahr a. taherizadeh a. vahidi

let $r$ be a commutative noetherian ring with non-zero identity, $fa$ an ideal of $r$, and $x$ an $r$--module. here, for fixed integers $s, t$ and a finite $fa$--torsion $r$--module $n$, we first study the membership of $ext^{s+t}_{r}(n, x)$ and $ext^{s}_{r}(n, h^{t}_{fa}(x))$ in the serre subcategories of the category of $r$--modules. then, we present some conditions which ensure the exi...

Journal: :bulletin of the iranian mathematical society 0
s. ebrahimi atani department of mathematics, university‎ ‎of guilan‎, ‎p.o. box 1914, rasht‎, ‎iran. m. khoramdel department of‎ ‎mathematics, university‎ ‎of guilan‎, ‎p.o. box 1914, rasht‎, ‎iran. s. dolati pish hesari department of mathematics, ‎university‎ ‎of guilan‎, ‎p.o. box 1914, rasht‎, ‎iran.

we introduce the notions of t-dual rickart and strongly t-dual rickart modules. we provide several characterizations and investigate properties of each of these concepts. it is shown that every free (resp. finitely generated free) $r$-module is t-dual rickart if and only if $overline{z}^2(r)$ is a  direct summand of $r$ and end$(overline{z}^2(r))$ is a semisimple (resp. regular) ring. it is sho...

Journal: :journal of linear and topological algebra (jlta) 0
m sha ee-mousavi islamic azad university, south tehran branch

let r be a ring,  be an endomorphism of r and mr be a -rigid module. amodule mr is called quasi-baer if the right annihilator of a principal submodule of r isgenerated by an idempotent. it is shown that an r-module mr is a quasi-baer module if andonly if m[[x]] is a quasi-baer module over the skew power series ring r[[x; ]].

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه شیراز - دانشکده علوم 1390

throughout this dissertation r is a commutative ring with identity and m is a unitary r-module. in this dissertation we investigate submodules of multiplication , prufer and dedekind modules. we also stat the equivalent conditions for which is ring , wher l is a submodule of afaithful multiplication prufer module. we introduce the concept of integrally closed modules and show that faithful mu...

Journal: :iranian journal of fuzzy systems 2005
paul isaac

the concepts of free modules, projective modules, injective modules and the likeform an important area in module theory. the notion of free fuzzy modules was introducedby muganda as an extension of free modules in the fuzzy context. zahedi and ameriintroduced the concept of projective and injective l-modules. in this paper we give analternate definition for projective l-modules. we prove that e...

Journal: :bulletin of the iranian mathematical society 0
y. alagöz i̇zmir institute of technology‎, ‎department‎ ‎of mathematics‎, ‎35430‎, i̇zmir, turkey. y. durğun bitlis eren university‎, ‎department of mathematics‎, ‎13000‎, bitlis, ‎turkey.

an r-module m is called strongly noncosingular if it has no nonzero rad-small (cosingular) homomorphic image in the sense of harada. it is proven that (1) an r-module m is strongly noncosingular if and only if m is coatomic and noncosingular; (2) a right perfect ring r is artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingula...

Journal: :bulletin of the iranian mathematical society 0
n. zamani

0

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه شهید چمران اهواز 1390

the notion of baer modules was defined recently

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