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Root closure in commutative rings

David F. Anderson, David E. Dobbs, Moshe Roitman (1990)

Annales scientifiques de l'Université de Clermont. Mathématiques

Some classes of perfect strongly annihilating-ideal graphs associated with commutative rings

Mitra Jalali, Abolfazl Tehranian, Reza Nikandish, Hamid Rasouli (2020)

Commentationes Mathematicae Universitatis Carolinae

Let $R$ be a commutative ring with identity and $A (R)$ be the set of ideals with nonzero annihilator. The strongly annihilating-ideal graph of $R$ is defined as the graph $SAG (R)$ with the vertex set $A {(R)}^{*} = A (R) ∖ {0}$ and two distinct vertices $I$ and $J$ are adjacent if and only if $I \cap Ann (J) \neq (0)$ and $J \cap Ann (I) \neq (0)$ . In this paper, the perfectness of $SAG (R)$ for some classes of rings $R$ is investigated.

Sur les Extensions Triviales Commutatives

Farid Kourki (2009)

Annales mathématiques Blaise Pascal

Nous caractérisons les extensions triviales semiGoldie, de cogénération finie, mininjectives et quasi-Frobeniusiens. Comme application, nous montrons que tout anneau noethérien s’injecte dans un anneau quasi-Frobeniusien.

Displaying 21 – 27 of 27

Root closure in commutative rings

Some classes of perfect strongly annihilating-ideal graphs associated with commutative rings

Sur les Extensions Triviales Commutatives

The containment property for large quotient rings.

Transforms of ideals in a commutative ring.

Über Spurfunktionen bei vollständigen Durchschnitten.

Ueber die minimale Dimension der assoziierten Primideale der Komplettion eines lokalen Integritätsbereiches.

Currently displaying 21 – 27 of 27