Results 21 to 30 of about 1,430 (227)
Strongly C_11-Condition Modules and Strongly T_11-Type Modules
In this paper, we introduced module that satisfying strongly -condition modules and strongly -type modules as generalizations of t-extending.
Inaam M A Hadi, Farhan D Shyaa
doaj +1 more source
On image summand coinvariant modules and kernel summand invariant modules [PDF]
In this paper we introduce the concept of im-summand coinvariance and im-small coinvariance; that is, a module M over a right perfect ring is said to be im-summand (im-small) coinvariant if, for any endomorphism phi of P such that Im phi is a direct ...
KESKİN TÜTÜNCÜ, DERYA +2 more
core +1 more source
Let M be a right R-module. We call M Rad-D12, if for every sub- module N of M, there exist a direct summand K of M and an epimor- phism α : K → M/N such that Kererα ⊆ Rad(K). We show that a direct summand of a Rad-D12 module need not be a Rad-D12 module.
Talebi Yahya +2 more
doaj +1 more source
Abstract We prove new cases of the direct summand conjecture using fundamental theorems in p-adic Hodge theory due to Faltings. The cases tackled include the ones when the ramification locus lies entirely in characteristic p.
openaire +3 more sources
A direct summand in 𝐻*(𝑀𝑂⟨8⟩,𝑍₂) [PDF]
H ∗ ( M O ⟨ 8 ⟩ , Z 2 ) {H^\ast }(MO\langle 8\rangle ,{Z_2}) as a module over ...
A. P. Bahri, M. E. Mahowald
core +1 more source
Some Results on Simple-Direct-Injective Modules [PDF]
A module M is called a simple-direct-injective module if, whenever A and B are simple submodules of M with A similar to= B and B is a direct summand of M, then A is a direct summand of M. Some new characterizations of these modules are proved.
Tribak, Rachid +1 more
core +1 more source
Direct summands of direct products of slender modules [PDF]
Suppose \(P=\prod_{I}G_ i\) is a direct product of slender R-modules. If \(| I|\) is non-measurable and A is a direct summand of P, then \(A=\prod_{J}A_ j\) where each \(A_ j\) is isomorphic to a direct summand of a countable direct product of \(G_ i's\).
openaire +2 more sources
Goldie extending elements in modular lattices [PDF]
The concept of a Goldie extending module is generalized to a Goldie extending element in a lattice. An element $a$ of a lattice $L$ with $0$ is said to be a Goldie extending element if and only if for every $b \leq a$ there exists a direct summand $c$ of
Shriram K. Nimbhorkar, Rupal C. Shroff
doaj +1 more source
Stanley–Reisner rings and the occurrence of the Steinberg representation in the hit problem
A result of G. Walker and R. Wood states that the space of indecomposable elements in degree $2^n-1-n$ of the polynomial algebra $\mathbb{F}_2[x_1,\,\ldots ,\,x_n]$, considered as a module over the mod 2 Steenrod algebra, is isomorphic to the Steinberg ...
Hai, Nguyen Dang Ho
doaj +1 more source
Strongly K-nonsingular Modules
A submodule N of a module M is said to be s-essential if it has nonzero intersection with any nonzero small submodule in M. In this article, we introduce and study a class of modules in which all its nonzero endomorphisms have non-s-essential ...
Tha'ar Younis Ghawi
doaj +1 more source

