Results 71 to 80 of about 1,140 (171)

Weak abelian direct summands and irreducibility of Galois representations

open access: yes
Let $\rho_\ell$ be a semisimple $\ell$-adic representation of a number field $K$ that is unramified almost everywhere. We introduce a new notion called weak abelian direct summands of $\rho_\ell$ and completely characterize them, for example, if the ...
Böckle, Gebhard, Hui, Chun-Yin
core  

Selforthogonal modules without obvious direct summands

open access: yes, 2007
We describe a sufficient condition which explains the aboundance of many rather small, and not necessarily faithful, selforthogonal modules M with the following properties: (1)The projective (resp. injective) dimension of M is finite and bigger than 1
G. D'Este
core  

Direct sums and the Szlenk index

open access: yes, 2011
For α an ordinal and ...
Brooker, Philip A.H.   +2 more
core   +1 more source

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  

Sub-direct sums and positivity classes of matrices

open access: yes, 1999
It is well known that a direct sum is positive semidefinite if and only if each of the direct summands is positive semidefinite. In fact, it is also known that this statement remains true if positive semidefinite is replaced with: doubly nonnegative ...
Fallat, Shaun M., Johnson, Charles R.
core   +1 more source

Modules Whose Submodules Are Essentially Embedded in Direct Summands

open access: yes, 2009
WOS: 000263199400006A module M is said to satisfy the C-12 condition if every submodule of M is essentially embedded in a direct summand of M. It is known that the C-11 ( and hence also C-1) condition implies the C-12 condition. We show that the class of
Takıl Mutlu, Figen   +2 more
core   +1 more source

Modules Whose Direct Summands Are Fi-Extending

open access: yes, 2017
WOS: 000438053300008A module M is called FI-extending if every fully invariant submodule of M is essential in a direct summand of M. It is not known whether a direct summand of an FI-extending module is also FI-extending.
TaşdEmir, Oktay, Karabacak, F.
core   +1 more source

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