reversibility of a module with respect to the bifunctors hom and‎ ‎rej

نویسندگان

y. tolooei

m. r. vedadi

چکیده

let $m_r$ be a non-zero‎ ‎module and ${mathcal f}‎: ‎sigma[m_r]times sigma[m_r]‎ ‎rightarrow$ mod-$bbb{z}$ a bifunctor‎. ‎the‎ ‎$mathcal{f}$-reversibility of $m$ is defined by ${mathcal‎ ‎f}(x,y)=0 rightarrow {mathcal f}(y,x)=0$ for all non-zero $x,y$‎ ‎in $sigma[m_r]$‎. ‎hom (resp‎. ‎rej)-reversibility of $m$ is‎ ‎characterized in different ways‎. ‎among other things‎, ‎it is shown‎ ‎that $r_r$ {rm($_rr$)} is hom-reversible if and only if $r =‎ ‎bigoplus_{i=1}^n r_i$ such that each $r_i$ is a perfect ring with‎ ‎a unique simple module (up to isomorphism)‎. ‎in particular‎, ‎for a‎ ‎duo ring‎, ‎the concepts of perfectness and hom-reversibility‎ ‎coincide‎.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Reversibility of a module with respect to the bifunctors Hom and‎ ‎Rej

Let $M_R$ be a non-zero‎ ‎module and ${mathcal F}‎: ‎sigma[M_R]times sigma[M_R]‎ ‎rightarrow$ Mod-$Bbb{Z}$ a bifunctor‎. ‎The‎ ‎$mathcal{F}$-reversibility of $M$ is defined by ${mathcal‎ ‎F}(X,Y)=0 Rightarrow {mathcal F}(Y,X)=0$ for all non-zero $X,Y$‎ ‎in $sigma[M_R]$‎. ‎Hom (resp‎. ‎Rej)-reversibility of $M$ is‎ ‎characterized in different ways‎. ‎Among other things‎, ‎it is shown‎ ‎th...

متن کامل

a comparison of teachers and supervisors, with respect to teacher efficacy and reflection

supervisors play an undeniable role in training teachers, before starting their professional experience by preparing them, at the initial years of their teaching by checking their work within the proper framework, and later on during their teaching by assessing their progress. but surprisingly, exploring their attributes, professional demands, and qualifications has remained a neglected theme i...

15 صفحه اول

Gorenstein hereditary rings with respect to a semidualizing module

‎Let $C$ be a semidualizing module‎. ‎We first investigate the properties of‎ ‎finitely generated $G_C$-projective modules‎. ‎Then‎, ‎relative to $C$‎, ‎we introduce and study the rings over which‎ ‎every submodule of a projective (flat) module is $G_C$-projective (flat)‎, ‎which we call $C$-Gorenstein (semi)hereditary rings‎. ‎It is proved that every $C$-Gorenstein hereditary ring is both cohe...

متن کامل

Graphs maximal with respect to hom-properties

For a simple graph H, → H denotes the class of all graphs that admit homomorphisms to H (such classes of graphs are called homproperties). We investigate hom-properties from the point of view of the lattice of hereditary properties. In particular, we are interested in characterization of maximal graphs belonging to → H. We also provide a description of graphs maximal with respect to reducible h...

متن کامل

a synchronic and diachronic approach to the change route of address terms in the two recent centuries of persian language

terms of address as an important linguistics items provide valuable information about the interlocutors, their relationship and their circumstances. this study was done to investigate the change route of persian address terms in the two recent centuries including three historical periods of qajar, pahlavi and after the islamic revolution. data were extracted from a corpus consisting 24 novels w...

15 صفحه اول

‏‎a comparative study of language learning strategies employmed by bilinguals and monolinguals with reference to attitudes and motivation‎‏

هدف از این تحقیق بررسی برخی عوامل ادراکی واحساسی یعنی استفاده از شیوه های یادگیری زبان ، انگیزه ها ونگرش نسبت به زبان انگلیسی در رابطه با زمینه زبانی زبان آموزان می باشد. هدف بررسی این نکته بود که آیا اختلافی چشمگیر میان زبان آموزان دو زبانه و تک زبانه در میزان استفاده از شیوه های یادگیری زبان ، انگیزه ها نگرش و سطح مهارت زبانی وجود دارد. همچنین سعی شد تا بهترین و موثرترین عوامل پیش بینی کننده ...

15 صفحه اول

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید


عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 40

شماره 4 2014

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023