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Filtered Products of Copies of Injective Modules

Axioms
We study the transfer of injectivity to filtered products of copies of an injective module. This leads to the introduction of a generalized Noetherian condition, the so-called (ℵ,M)-Noetherian rings. We prove that M is F-injective for every filter F with
Driss Bennis, Juan Ramón García Rozas, Maroua Mbarki, Luis Oyonarte   +3 more
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Left Noetherian rings with differentially trivial proper quotient rings

Karpatsʹkì Matematičnì Publìkacìï, 2009
We characterize left Noetherian rings with differentially trivial proper quotient ...
Artemovych O.D.
doaj  

Non-Noetherian conformal Cheshire effect

European Physical Journal C: Particles and Fields
The gravitational Cheshire effect refers to the possibility of turning off the gravitational field while still leaving an imprint of the nonminimal coupling of matter to gravity.
Eloy Ayón-Beato, Mokhtar Hassaine, Pedro A. Sánchez   +2 more
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Sifat Rantai Naik pada Modul r-Noetherian serta Keterkaitan Modul r-Noetherian dengan Modul Noetherian dan Modul Hampir Noetherian

Jurnal Riset Mahasiswa Matematika
Modules are algebraic structures formed from Abelian groups and rings as scalars. A module is a Noetherian module if it satisfies the ascending chain condition on its submodules. An R-module M is called an almost Noetherian module if every true submodule in M is finitely generated. There is a new class of r-Noetherian modules. Let\ R be a ring and M an
Qurratul Aini Az-Zakiyah, Intan Nisfulaila   +1 more
openaire   +1 more source

Generalized Local Homology Modules of Complexes

پژوهش‌های ریاضی, 2017
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
doaj  

On weaker forms of the chain (F) condition and metacompactness-like covering properties in the product spaces

Open Mathematics, 2013
Önal Süleyman, Vural Çetin
doaj   +1 more source

Noetherian modules and noetherian injective rings

Tohoku Mathematical Journal, 1965
openaire   +2 more sources

ON FINITENESS OF PRIME IDEALS IN NORMED RINGS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1993
In a commutative Noetherian local complex normed algebra which is complete in its M-adic metric there are only finitely many closed prime ideals.
doaj  

Compact Noetherian Rings

Mathematische Annalen, 1960
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Noetherian and totally noetherian rings and modules

Given a commutative ring A there are different approaches to understand its structure; one is consider ideals and their arithmetic (multiplicative theory), and another one is to consider modules over A (module theory); in this work we shall mix both; on one hand we shall study ideals; in particular prime ideals, and on the other we shall use categories
openaire   +1 more source