Results 31 to 40 of about 1,430 (227)
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
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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
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The direct summand theorem [PDF]
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
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
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On construction of the canonical form on the frame bundle
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
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Some rings for which the cosingular submodule of every module is a direct summand [PDF]
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]
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
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
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On connections on principal bundles
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
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On modules and rings in which complements are isomorphic to direct summands [PDF]
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

