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Some results on homotopy theory of modules

Zheng-Xu He (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Seguendo le idee presentate nei lavori [1] e [2] si studiano le proprietà dei gruppi di $i$ -omotopia per moduli ed omomorfismi di moduli.

Stability of algebraic inverse systems, I: Stability, weak stability and the weakly-stable socle

Timothy Porter (1978)

Fundamenta Mathematicae

Star-invertible ideals of integral domains

Gyu Whan Chang, Jeanam Park (2003)

Bollettino dell'Unione Matematica Italiana

Let $*$ be a star-operation on $R$ and $*_{s}$ the finite character star-operation induced by $*$ . The purpose of this paper is to study when $* = v$ or $*_{s} = t$ . In particular, we prove that if every prime ideal of $R$ is $*$ -invertible, then $* = v$ , and that if $R$ is a unique $*$ -factorable domain, then $R$ is a Krull domain.

Strongly fixed ideals in $C (L)$ and compact frames

A. A. Estaji, A. Karimi Feizabadi, M. Abedi (2015)

Archivum Mathematicum

Let $C (L)$ be the ring of real-valued continuous functions on a frame $L$ . In this paper, strongly fixed ideals and characterization of maximal ideals of $C (L)$ which is used with strongly fixed are introduced. In the case of weakly spatial frames this characterization is equivalent to the compactness of frames. Besides, the relation of the two concepts, fixed and strongly fixed ideals of $C (L)$ , is studied particularly in the case of weakly spatial frames. The concept of weakly spatiality is actually weaker than...

Submodules of a torsion-free and finitely generated module over a Dedekind ring

G. Archinard (1984)

Colloquium Mathematicae

Sur la compacité du spectre minimal d'un anneau

Yann Quentel (1971)

Bulletin de la Société Mathématique de France