Le théorème des zéros pour les corps ordonnés
Les idéaux premiers de l'anneau des polynomes à valeurs entières.
Liasion of monomial curves in P3.
Longueurs de modules constructibles et valuations
Medial subcartesian products of fields
Minimale Erzeugendensystem und minimale Primteiler von monomialen Radikalidealen.
More on the strongly 1-absorbing primary ideals of commutative rings
Let be a commutative ring with identity. We study the concept of strongly 1-absorbing primary ideals which is a generalization of -ideals and a subclass of -absorbing primary ideals. A proper ideal of is called strongly 1-absorbing primary if for all nonunit elements such that , it is either or . Some properties of strongly 1-absorbing primary ideals are studied. Finally, rings over which every semi-primary ideal is strongly 1-absorbing primary, and rings over which every strongly...
Multiplication modules and homogeneous idealization.
Multiplication modules and homogeneous idealization. II.
Multiplication modules and homogeneous idealization. III.
Multiplication modules and related results
Let be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication -module (see [8], [12] and [3]).
Multiplication modules and tensor product.
Multiplicité et norme d'un idéal fractionnaire et régulier
Multiplicities of ideals in Noetherian rings.
Normal rings and local ideals.
Note on Asymptotic Prime Divisors and Symbolic Powers of Primary Ideals.
Note on colon-multiplication domains.
Notes on generalizations of Bézout rings
In this paper, we give new characterizations of the --Bézout property of trivial ring extensions. Also, we investigate the transfer of this property to homomorphic images and to finite direct products. Our results generate original examples which enrich the current literature with new examples of non--Bézout --Bézout rings and examples of non--Bézout --Bézout rings.
On a functional equation arising from hyperbolic geometry.
On a Retract of an Integral Domain.