Results 81 to 90 of about 645,410 (117)
Some of the next articles are maybe not open access.
Algebra Colloquium, 2010
Let R be a ring and M a right R-module. M is called a cofinitely lifting module if for any cofinite submodule N of M, there exists a direct summand K of M such that K ≤ N and N/K ≪ M/K. It is proved that every cofinite direct summand of a cofinitely lifting module is cofinitely lifting. For a cofinitely lifting module M and a fully invariant submodule
Wang, Yongduo, Wu, Dejun
openaire +1 more source
Let R be a ring and M a right R-module. M is called a cofinitely lifting module if for any cofinite submodule N of M, there exists a direct summand K of M such that K ≤ N and N/K ≪ M/K. It is proved that every cofinite direct summand of a cofinitely lifting module is cofinitely lifting. For a cofinitely lifting module M and a fully invariant submodule
Wang, Yongduo, Wu, Dejun
openaire +1 more source
Cofinitely semiperfect modules
Siberian Mathematical Journal, 2005Summary: It is well known that a projective module \(M\) is \(\oplus\)-supplemented if and only if \(M\) is semiperfect. We show that a projective module \(M\) is \(\oplus\)-cofinitely supplemented if and only if \(M\) is cofinitely semiperfect or briefly cof-semiperfect (i.e., each finitely generated factor module of \(M\) has a projective cover).
Çalışıcı, Hamza, Pancar, Ali
openaire +2 more sources
On the Abelian categories of cofinite modules
Journal of Algebra and Its Applications, 2022Let [Formula: see text] be a commutative Noetherian ring and [Formula: see text] be an ideal of [Formula: see text] such that the [Formula: see text]-modules [Formula: see text] are [Formula: see text]-cofinite, for all finitely generated [Formula: see text]-modules [Formula: see text] and all [Formula: see text].
openaire +2 more sources
Cofiniteness of Local Cohomology Modules
Algebra Colloquium, 2014Let M be a non-zero finitely generated module over a commutative Noetherian local ring (R, 𝔪). In this paper we consider when the local cohomology modules are finitely generated. It is shown that if t ≥ 0 is an integer and [Formula: see text], then [Formula: see text] is not 𝔭-cofinite.
Bahmanpour, Kamal +2 more
openaire +2 more sources
Cofinitely generated and cofinitely related modules
Acta Mathematica Academiae Scientiarum Hungaricae, 1982P. VAMOS [11] has defned and studied 'finitely embedded modules' as the dual of 'finitely generated modules'. JANS [4] called them as co finitely generated modules and defined a right co-noetherian ring as dual to a right noetherian ring and investigated their properties.
openaire +1 more source
Cofinitely projective modules II
Archiv der Mathematik, 1987The author in an earlier paper [in J. Aust. Math. Soc., Ser. A 26, 330- 336 (1978; Zbl 0393.16018)], has studied finitely projective modules over a Dedekind domain and in Part I [Houston J. Math. 11, 183-190 (1985; Zbl 0576.16024)], he has studied cofinitely projective modules over a Dedekind domain. In this paper we study cofinitely projective modules
openaire +1 more source
Cofinitely g‐radical supplemented modules
Mathematical Methods in the Applied Sciences, 2020In this work, all rings have unity and all modules are unital left modules. Let M be an R‐module. If every cofinite submodule of M has a g‐radical supplement in M, then M is called a cofinitely g‐radical supplemented module. In this work, some properties of cofinitely g‐radical supplemented modules are investigated.
openaire +2 more sources
On Cofinitely Lifting and Cofinitely Weak Lifting Modules
Communications in Algebra, 2008We say that a module M is lifting if M is amply supplemented and every supplement submodule of M is a direct summand. The module M is called cofinitely lifting if it is amply cofinitely supplemented and every supplement of any cofinite submodule of M is a direct summand. In this article various properties of cofinitely lifting modules are given.
openaire +1 more source
COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES
Bulletin of the Australian Mathematical Society, 2011AbstractLet 𝔞 be an ideal of a Noetherian ring R. Let s be a nonnegative integer and let M and N be two R-modules such that ExtjR(M/𝔞M,Hi𝔞(N)) is finite for all i<s and all j≥0 . We show that HomR (R/𝔞,Hs𝔞(M,N)) is finite provided ExtsR(M/𝔞M,N) is a finite R-module.
Borna, Keivan +2 more
openaire +1 more source