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as an object in D(B) via the restriction functor. We discuss the relations of the derived endomorphism rings EA(M⋅) = ⊕i∈ℤHomD(A)(M⋅, M⋅[i]) and EB(M⋅) = ⊕i∈ℤHomD(B)(M⋅, M⋅[i]). If H is a finite-dimensional semi ...
Let R and S be a pair of equivalent rings . We will prove that if R has property that a pair of modules over R are isomorphic if and only if their endomorphism rings are isomorphic than S has same ...
ring of quotients, we show that the endomorphism ring of a module is embedded into that of the rational hull of the module . In particular, we obtain new characterizations of rationally complete modules ...
between G and H and an element from H . This corre- spondence is then extended to all modules over a ring by considering heaps of modules . It is proved that the truss of endomorphisms of a heap associated ...
module in $\mathcal{C}$ is a local ring whose unique maximal ideal is infinitely generated and nilpotent. In addition, we show an example where the endomorphism ring in $\mathcal{C}$ of a compact object ...
between endomorphism rings of modules over a semi simple ring 1 1 1 2 H Susanto , S Irawati , I N Hidayah , and Irawati Mathematics Department, Universitas Negeri Malang, Jalan Semarang 5, Malang 65145 ...
of G is at least 3, then the endomorphism ring of the trivial module in C${\mathcal {C}}$ is a local ring , whose unique maximal ideal is infinitely generated and nilpotent. In addition, we show ...
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 136, Number 7, July 2008, Pages 2333–2341 S 0002-9939(08)09240-X Article electronically published on March 13, 2008 ON ENDOMORPHISM RINGS ...
projective left modules RP belong to the class YF ? Tsukerma~n has in [Ii] con- sidered the analogous problem for the rings of endomorphisms of all free left modules in the case when Ys is the class (I ...
It is proved that a commutative ring A is arithmetical if and only if every finitely generated ideal M of the ring A is a quasi-projective A- module and every endomorphism of this module can ...
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