Results 41 to 50 of about 1,341,218 (213)

A note on quasi-Frobenius rings [PDF]

Pacific Journal of Mathematics, 1968
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On the Frobenius complexity of Stanley–Reisner rings [PDF]

Communications in Algebra, 2020
The Frobenius complexity of a local ring $R$ measures asymptotically the abundance of Frobenius operators of order $e$ on the injective hull of the residue field of $R$. It is known that, for Stanley-Reisner rings, the Frobenius complexity is either $-\infty$ or $0$.
openaire   +2 more sources

Frobenius and Cartier algebras of Stanley-Reisner rings [PDF]

, 2023
We study the generation of the Frobenius algebra of the injective hull of a complete Stanley-Reisner ring over a field with positive characteristic. In particular, by extending the ideas used by M. Katzman to give a counterexample to a question raised by
Àlvarez Montaner, Josep, Zarzuela, Santiago, Fernandez Boix, Alberto   +2 more
core   +4 more sources

A Class of Local Non-Chain Rings of Order p^5m

Axioms
This study investigates finite commutative local non-chain rings characterized by the well-established invariants p, n, m, l, and k, where p denotes a prime number. We specifically focus on Frobenius local rings with length l=5 and an index of nilpotency
Alhanouf Ali Alhomaidhi, Badriyah Rashed Alshahrani, Sami Alabiad   +2 more
doaj   +1 more source

The prime graph conjecture for integral group rings of some alternatings groups [PDF]

International Journal of Group Theory, 2013
We investigate the classical Zassenhaus Conjecture (ZC) for integral group rings of alternating groups A9 and A10. Even the question (ZC) remains open as no counterexample is known up to date, it been confirmed for special types of groups such as ...
Mohamed Salim
doaj  

Frobenius methods in combinatorics [PDF]

, 2022
We survey results produced from the interaction between methods in prime characteristic and combinatorial commutative algebra. We showcase results for edge ideals, toric varieties, Stanley-Reisner rings, and initial ideals that were proven via Frobenius.
Alessandro De Stefani, De Stefani A., Montano J., Jonathan Montaño, Nunez-Betancourt L., Luis Núñez-Betancourt   +5 more
core   +1 more source

On Linear Codes over Finite Singleton Local Rings

Mathematics
The study of linear codes over local rings, particularly non-chain rings, imposes difficulties that differ from those encountered in codes over chain rings, and this stems from the fact that local non-chain rings are not principal ideal rings.
Sami Alabiad, Alhanouf Ali Alhomaidhi, Nawal A. Alsarori   +2 more
doaj   +1 more source

A partial envelope approach for modelling multivariate spatial‐temporal data

Canadian Journal of Statistics, EarlyView.
Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja, Wenbo Wu, Victor De Oliveira, Keying Ye   +3 more
wiley   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Socle conditions for QF-1 rings [PDF]

, 1973
Ringel CM. Socle conditions for QF-1 rings. Pacific Journal of Mathematics.
Ringel, Claus Michael
core   +1 more source