Results 101 to 110 of about 1,167 (194)

A note on free direct summands.

open access: yesMATHEMATICA SCANDINAVICA, 1978
Beck, István, Trosborg, Peter J.
openaire   +3 more sources

Modules, Lattices and Their Direct Summands [PDF]

open access: yes, 1992
It is well known that any finitely generated Z-module is a direct sum of a projective (in fact a free) module and a Noetherian module (in fact a module of finite length) (for example see [Fu]). More generally, [Sm1] proved that if R is a right Noetherian
Alkhazzi, Ibrahim Saleh
core  

Stabilizers of direct composition series [PDF]

open access: yes, 2018
Let R be a domain, V a left R-module, and L a composition series of direct summands of V. Our main results show that if U is a stabilizer group of L containing the McLain-group associated with L , then U determines the chain (L,⊆) uniquely up to ...
Göbel, Rüdiger, Droste, Manfred
core   +1 more source

On direct sums of $\text{B}^{(1)}$-groups -- II [PDF]

open access: yes, 2006
summary:$\operatorname{B}^{(1)}$-groups are a class of torsionfree Abelian groups of finite rank, part of the main class of Butler groups. In the paper C. Metelli, {\it On direct sums of $\operatorname{B}^{(1)}$-groups\/}, Comment. Math. Univ. Carolinae
Metelli, Claudia, De Vivo, Clorinda
core  

On Viazovska's modular form inequalities. [PDF]

open access: yesProc Natl Acad Sci U S A, 2023
Romik D.
europepmc   +1 more source

Direct summands of modules which satisfy (C-11) [PDF]

open access: yes, 2004
A module M satisfies (C-11) if every submodule of M has a complement which is a direct summand of M. It is shown that there exists a commutative domain R and an R-module M which satisfies (C-11) and has a direct summand K that does not satisfy (C-11). In
Smith, PF, Tercan, A
core  

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