Results 31 to 40 of about 9,977 (216)

Decomposition of semigroup algebras [PDF]

Let A \subseteq B be cancellative abelian semigroups, and let R be an integral domain. We show that the semigroup ring R[B] can be decomposed, as an R[A]-module, into a direct sum of R[A]-submodules of the quotient ring of R[A].
Bayer [Bayer and Stillman 87] D., Bermejo [Bermejo and Gimenez 06] I., Brodmann [Brodmann and Sharp 98] M. P., Bruns [Bruns and Gubeladze 03] W., Bruns [Bruns et al. 06] W., Eisenbud [Eisenbud and Goto 84] D., García-Sánchez [García-Sánchez and Rosales 02] P. A., Giaimo [Giaimo 06] D., Gruson [Gruson et al. 83] L., Herzog [Herzog and Hibi 03] J., Hoa [Hoa and Stückrad 03] L. T., Hoa [Hoa et al. 91] L. T., Hochster [Hochster 72] M., Hochster [Hochster and Roberts 76] M., Lazarsfeld [Lazarsfeld 87] R., Li [Li 04] P., Nitsche [Nitsche 12] M. J., Peeva [Peeva and Sturmfels 98] I., Ran [Ran 90] Z., Stanley [Stanley 78] R. P., Stückrad [Stückrad and Vogel 87] J., Stückrad [Stückrad and Vogel 88] J., Treger [Treger 82] R.   +22 more
core   +2 more sources

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, Volume 5, Issue 2, February 2026.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

One-dimensional Gorenstein local rings with decreasing Hilbert function

, 2016
In this paper we solve a problem posed by M.E. Rossi: {\it Is the Hilbert function of a Gorenstein local ring of dimension one not decreasing? } More precisely, for any integer $h>1$, $h \notin\{14+22k, \, 35+46k \ | \ k\in\mathbb{N} \}$, we construct ...
Oneto, Anna, Strazzanti, Francesco, Tamone, Grazia   +2 more
core   +1 more source

Semigroup rings

Semigroup Forum, 1987
This survey aims to accumulate all known results about semigroup rings, systematizing them around some central themes. It is planned to have 3 parts. The first part is devoted to the multiplicative semigroup of semigroup rings, and begins with a list of unified notations and terminology.
openaire   +2 more sources

Dynamically Consistent Analysis of Realized Covariations in Term Structure Models

Mathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.
ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley   +1 more source

On completely 0-simple semigroups

International Journal of Mathematics and Mathematical Sciences, 1996
Let S be a completely 0-simple semigroup and F be an algebraically closed field. Then for each 0-minimal right ideal M of S, M=B∪C∪{0}, where B is a right group and C is a zero semigroup.
Yue-Chan Phoebe Ho
doaj   +1 more source

When do pseudo‐Gorenstein rings become Gorenstein?

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We discuss the relationship between the trace ideal of the canonical module and pseudo‐Gorensteinness. In particular, under certain mild assumptions, we show that every positively graded domain that is both pseudo‐Gorenstein and nearly Gorenstein is Gorenstein. As an application, we clarify the relationships among nearly Gorensteinness, almost
Sora Miyashita
wiley   +1 more source

Recent developments around partial actions

, 2018
We give an overview of publications on partial actions and related concepts, paying main attention to some recent developments.Comment: New bibliography added and ...
Dokuchaev, Mikhailo
core   +1 more source

Some Properties of Hyper Ideals in Hyper Hoop‐Algebras

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu, Wondosen Zemene Norahun, Derso Abeje Engidaw, Gezahagne Mulat Addis, Berhanu Bekele Belayneh, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

Semilocal semigroup rings [PDF]

Glasgow Mathematical Journal, 1984
Semilocal and related classes of group rings have been investigated by many authors (cf. [10]). In particular, the following results have been obtained.Theorem A[4,10]. Let K be a field and G a group.(i) If ch K = 0, then K[G] is semilocal if and only if G is finite.(ii) If ch K = p>0 and G is locally finite, then K[G] is semilocal if and only if G ...
openaire   +1 more source