Results 31 to 40 of about 1,430 (227)

A-D3 Modules and A-D4 Modules

open access: yesJournal of Mathematics, 2023
Let A be a class of some right R-modules that is closed under isomorphisms, and let M be a right R-module. Then M is called A-D3 if, whenever N and K are direct summands of M with M=N+K and M/K∈A, then N∩K is also a direct summand of M; M is called an A ...
Zhanmin Zhu
doaj   +1 more source

⊕-s-extending modules

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2020
     The -s-extending modules will be purpose of this paper, a module M  is -s-extending if each submodule in M is essential in submodule has a supplement that is direct summand.
Saad A. Al-Saadi, Aya A. Al-Rubaye
doaj   +1 more source

The direct summand theorem [PDF]

open access: yes, 2021
In this thesis, our aim is to present a recent result proved by Yves André: Hochster's direct summand conjecture in commutative algebra; we will focus on the approach given by Bhargav Bhatt in his article, in which he streamlines André's original proof ...
FERRARO, GIACOMO HERMES
core  

Feebly lifting modules [PDF]

open access: yesJournal of Mahani Mathematical Research
In this article feebly lifting modules are defined. A module $W$ is called feebly lifting provided, for each fully idempotent $N\leq W$ there exists a direct summand $D\leq W$ providing $D\leq N$ and $\frac{N}{D}\ll \frac{W}{D}$.
Cihat Abdioğlu, Esra Özturk Sozen
doaj   +1 more source

On construction of the canonical form on the frame bundle

open access: yesДифференциальная геометрия многообразий фигур, 2023
The detailed description of the construction of the canonical form on the higher order frame bundle over an n-dimensional smooth manifold is given. In particular, it is shown that some vector space isomorphism play­ing the key role in this construction ...
A. V. Kuleshov
doaj   +1 more source

Some rings for which the cosingular submodule of every module is a direct summand [PDF]

open access: yes, 2014
The submodule Z(M) = ∩{N | M/N is small in its injective hull} was introduced by Talebi and Vanaja in 2002. A ring R is said to have property (P ) if Z(M) is a direct summand of M for every R-module M .
Trıbak, Rachid   +3 more
core   +3 more sources

A generalization of modules with the property (P*) [PDF]

open access: yesMathematica Moravica, 2017
I.A- Khazzi and P.F. Smith called a module M have the property (P*) if every submodule N of M there exists a direct summand K of M such that K ≤ N and N K C Rad(M K).
Türkmen Nışanci Burcu
doaj  

Projective covers and minimal free resolutions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
Using a generalization of the definition of the projective cover of a module, a special type of surjective free resolution, known as the projective cover of a complex, may be defined.
Mark A. Goddard
doaj   +1 more source

On connections on principal bundles

open access: yesArab Journal of Mathematical Sciences, 2017
A new construction of a universal connection was given in Biswas, Hurtubise and Stasheff (2012). The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector bundle E over a compact Riemann surface admits
Indranil Biswas
doaj   +1 more source

On modules and rings in which complements are isomorphic to direct summands [PDF]

open access: yes, 2022
A right R-module M is virtually extending (or CIS) if every complement submodule of M is isomorphic to a direct summand of M, and M is called a virtually C2-module if every complement submodule of M which is isomorphic to a direct summand of M is itself ...
Karabacak, Fatih   +4 more
core   +1 more source

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