نتایج جستجو برای: perfect ring

تعداد نتایج: 168366  

Journal: :bulletin of the iranian mathematical society 2013
j. zemlicka

a module $m$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $m$ into $m$. we prove that all right (left) modules over a ring are coretractable if and only if the ring is morita equivalent to a finite product of local right and left perfect rings.

Journal: :Journal of Algebra 1971

Journal: :Proceedings of the American Mathematical Society 1983

In this work, we investigate the transfer of some homological properties from a ring $R$ to its amalgamated duplication along some ideal $I$ of $R$ $Rbowtie I$, and then generate new and original families of rings with these properties.

Journal: :bulletin of the iranian mathematical society 2012
bashishth muni pandeya avanish kumar chaturvedi ashok ji gupta

an r-module m is called epi-retractable if every submodule of mr is a homomorphic image of m. it is shown that if r is a right perfect ring, then every projective slightly compressible module mr is epi-retractable. if r is a noetherian ring, then every epi-retractable right r-module has direct sum of uniform submodules. if endomorphism ring of a module mr is von-neumann regular, then m is semi-...

Let R be a commutative ring. An R-module M is called co-multiplication provided that foreach submodule N of M there exists an ideal I of R such that N = (0 : I). In this paper weshow that co-multiplication modules are a generalization of strongly duo modules. Uniserialmodules of finite length and hence valuation Artinian rings are some distinguished classes ofco-multiplication rings. In additio...

Journal: :bulletin of the iranian mathematical society 0
e. amanzadeh faculty of mathematical sciences and computer‎, ‎kharazmi university‎, ‎tehran‎, ‎iran‎. m. t. dibaei faculty of mathematical sciences and computer‎, ‎kharazmi university‎, ‎tehran‎, ‎iran and school of mathematics‎, ‎institute for research in fundamental sciences (ipm)‎, ‎p.o‎. ‎box‎ ‎19395-5746‎, ‎tehran‎, ‎iran.

inspired by a recent work of buchweitz and flenner, we show that, for a semidualizing bimodule $c$, $c$--perfect complexes have the ability to detect when a ring is strongly regular.it is shown that there exists a class of modules which admit minimal resolutions of $c$--projective modules.

Inspired by a recent work of Buchweitz and Flenner, we show that, for a semidualizing bimodule $C$, $C$--perfect complexes have the ability to detect when a ring is strongly regular.It is shown that there exists a class of modules which admit minimal resolutions of $C$--projective modules.

2016
KIRAN S. KEDLAYA

Let R be a perfect ring of characteristic p. We show that the group of continuous R-linear automorphisms of the perfect power series ring over R is generated by the automorphisms of the ordinary power series ring together with Frobenius; this answers a question of Jared Weinstein.

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...

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