Results 91 to 100 of about 4,472,960 (363)
Similarity and commutators of matrices over principal ideal rings [PDF]
We prove that if is a principal ideal ring and is a matrix with trace zero, then is a commutator, that is, for some . This generalises the corresponding result over fields due to Albert and Muckenhoupt, as well as that over due to Laffey and Reams, and ...
A. Stasinski
semanticscholar +1 more source
A política da morte nos projetos abolicionistas de Andrade Corvo e Joaquim Nabuco
O presente artigo tem como principal objetivo construir uma história interligada entre o pensamento de dois autores abolicionistas do século XIX: João de Andrade Corvo e Joaquim Nabuco, sendo o primeiro português e o segundo brasileiro. O eixo norteador
Gabriel Felipe Silva Bem
doaj +1 more source
ON CLASSES OF MODULES CLOSED UNDER INJECTIVE HULLS AND ARTINIAN PRINCIPAL IDEAL RINGS
In this work we consider some classes of modules closed under certain closure properties such as being closed under taking submodules, quotients, injective hulls and direct sums.
Alejandro Alvarado-Garćıa+3 more
semanticscholar +1 more source
This review highlights how foundation models enhance predictive healthcare by integrating advanced digital twin modeling with multiomics and biomedical data. This approach supports disease management, risk assessment, and personalized medicine, with the goal of optimizing health outcomes through adaptive, interpretable digital simulations, accessible ...
Sakhaa Alsaedi+2 more
wiley +1 more source
INVARIANTS OF IDEALS HAVING PRINCIPAL REDUCTIONS [PDF]
For a regular ideal having a principal reduction in a Noetherian ring we consider the structural numbers that arise from taking the Ratliff–Rush closure of the ideal and its powers. In particular, we analyze the interconnections among these numbers and the relation type and reduction number of the ideal.
D'ANNA, Marco, GUERRIERI A, HEINZER W.
openaire +2 more sources
Some Properties of the Intersection Graph for Finite Commutative Principal Ideal Rings
Let R be a commutative finite principal ideal ring with unity, and let G(R) be the simple graph consisting of nontrivial proper ideals of R as vertices such that two vertices I and J are adjacent if they have nonzero intersection.
E. A. Osba+2 more
semanticscholar +1 more source
Factoring formal power series over principal ideal domains [PDF]
We provide an irreducibility test and factoring algorithm (with some qualificiations) for formal power series in the unique factorization domain R((X)), where R is any principal ideal domain.
J. Elliott
semanticscholar +1 more source
Liver‐specific knockout of N6‐methyladenosine (m6A) methyltransferase METTL3 significantly accelerated hepatic tumor initiation under various oncogenic challenges, contrary to the previously reported oncogenic role of METTL3 in liver cancer cell lines or xenograft models. Mechanistically, METTL3 deficiency reduced m6A deposition on Manf transcripts and
Bo Cui+15 more
wiley +1 more source
Transfer of the GPIT Property in Pullbacks
Let 𝑇 be a commutative ring, 𝐼 a prime ideal of 𝑇, 𝐷 a subring of 𝑇/𝐼, and 𝑅 the pullback 𝑇×𝑇/𝐼𝐷. Ascent and descent results are given for the transfer of the 𝑛-PIT and GPIT (generalized principal ideal theorem) properties between 𝑇 and 𝑅.
David E. Dobbs, Jay Shapiro
doaj +1 more source
Let R be a commutative ring with identity. Let A(R) denote the collection of all annihilating ideals of R (that is, A(R) is the collection of all ideals I of R which admits a nonzero annihilator in R).
S. Visweswaran, Hiren D. Patel
doaj +1 more source