Results 41 to 50 of about 704,075 (198)

Semidegenerate Congruence-modular Algebras Admitting a Reticulation

open access: yesScientific Annals of Computer Science, 2023
The reticulation L(R) of a commutative ring R was introduced by Joyal in 1975, then the theory was developed by Simmons in a remarkable paper published in 1980. L(R) is a bounded distributive algebra whose main property is that the Zariski prime
George Georgescu
doaj   +1 more source

Automorphisms of commutative rings [PDF]

open access: yesTransactions of the American Mathematical Society, 1975
Let B B be a commutative ring with 1, let
openaire   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Graphs associated with a commutative ring [PDF]

open access: yes, 2019
Various graphs associated with a commutative (non commutative) ring are presented. This presentation is the result of a survey of various sources making it easier for someone to know what graphs can be produced from a ...
Abdussakir, Abdussakir
core   +4 more sources

Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers

open access: yesAdvanced Intelligent Systems, EarlyView.
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica   +38 more
wiley   +1 more source

Continuous functions with compact support

open access: yesApplied General Topology, 2004
The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya   +2 more
doaj   +1 more source

Centrally Prime Rings which are Commutative [PDF]

open access: yesKirkuk Journal of Science, 2006
In this paper the definition of centrally prime rings is introduced , our main purpose is to classify those centrally prime rings which are commutative and so that several conditions are given each of which makes a centrally prime ring commutative.
Adil K.Jabbar
doaj   +1 more source

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

open access: yesCommunications 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

The non-commutative standard model [PDF]

open access: yes, 1996
In this work aspects of the classical Connes-Lott non-commutative standard model are examined. In particular the relationship between the chiral structure of the standard model and the condition of Poincaré Duality is investigated.
Asquith, Rebecca, Asquith, R.
core  

Hilbert's Basis Theorem for Poisson Ore Extensions

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensions and iterated Poisson Laurent Ore extensions associated to commuting Poisson‐pairs.
Per Bäck   +3 more
wiley   +1 more source

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