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Displaying 1961 – 1980 of 2843

Relations in the canonical algebras on surfaces

Kazuhiro Konno (2008)

Rendiconti del Seminario Matematico della Università di Padova

Relative Buchsbaumness of bigraded modules

Keivan Borna, Ahad Rahimi, Syrous Rasoulyar (2012)

Colloquium Mathematicae

We study finitely generated bigraded Buchsbaum modules over a standard bigraded polynomial ring with respect to one of the irrelevant bigraded ideals. The regularity and the Hilbert function of graded components of local cohomology at the finiteness dimension level are considered.

Relative Gorenstein injective covers with respect to a semidualizing module

Elham Tavasoli, Maryam Salimi (2017)

Czechoslovak Mathematical Journal

Let $R$ be a commutative Noetherian ring and let $C$ be a semidualizing $R$ -module. We prove a result about the covering properties of the class of relative Gorenstein injective modules with respect to $C$ which is a generalization of Theorem 1 by Enochs and Iacob (2015). Specifically, we prove that if for every $G_{C}$ -injective module $G$ , the character module $G^{+}$ is $G_{C}$ -flat, then the class ${𝒢ℐ}_{C} (R) \cap 𝒜_{C} (R)$ is closed under direct sums and direct limits. Also, it is proved that under the above hypotheses the class ${𝒢ℐ}_{C} (R) \cap 𝒜_{C} (R)$ is covering....

Relative integral functors for singular fibrations and singular partners

Daniel Hernández Ruipérez, Ana Cristina López Martín, Fernando Sancho de Salas (2009)

Journal of the European Mathematical Society

Relative K2 for Powers of an Ideal.

J.B. Wagoner (1982)

Mathematische Annalen

Relative multiplication and distributive modules

José Escoriza, Blas Torrecillas (1997)

Commentationes Mathematicae Universitatis Carolinae

We study the construction of new multiplication modules relative to a torsion theory $τ$ . As a consequence, $τ$ -finitely generated modules over a Dedekind domain are completely determined. We relate the relative multiplication modules to the distributive ones.

Relative tilting modules with respect to a semidualizing module

Maryam Salimi (2019)

Czechoslovak Mathematical Journal

Let $R$ be a commutative Noetherian ring, and let $C$ be a semidualizing $R$ -module. The notion of $C$ -tilting $R$ -modules is introduced as the relative setting of the notion of tilting $R$ -modules with respect to $C$ . Some properties of tilting and $C$ -tilting modules and the relations between them are mentioned. It is shown that every finitely generated $C$ -tilting $R$ -module is $C$ -projective. Finally, we investigate some kernel subcategories related to $C$ -tilting modules.

Relatively complete ordered fields without integer parts

Mojtaba Moniri, Jafar S. Eivazloo (2003)

Fundamenta Mathematicae

We prove a convenient equivalent criterion for monotone completeness of ordered fields of generalized power series $[[F^{G}]]$ with exponents in a totally ordered Abelian group G and coefficients in an ordered field F. This enables us to provide examples of such fields (monotone complete or otherwise) with or without integer parts, i.e. discrete subrings approximating each element within 1. We include a new and more straightforward proof that $[[F^{G}]]$ is always Scott complete. In contrast, the Puiseux series field...