Results 11 to 20 of about 8,278 (216)

Note on weakly nil clean and π-regular rings

Filomat, 2023
Let R be a commutative ring with identity 1 ? 0. The ring R is called weakly nil clean if every element x of R can be written as x = n + e or x = n ? e, where n is a nilpotent element of R and e is an idempotent element of R. The ring R is called weakly nil neat if every proper homomorphic image of R is weakly nil clean. Among other results,
Khaled Alhazmy, Fuad Almahdi, El Bouba, Mohammed Tamekkante   +3 more
openaire   +1 more source

On n-flat modules and n-Von Neumann regular rings

International Journal of Mathematics and Mathematical Sciences, 2006
We show that each R-module is n-flat (resp., weakly n-flat) if and only if R is an (n,n−1)-ring (resp., a weakly (n,n−1)-ring). We also give a new characterization of n-Von Neumann regular rings and a characterization of weak n-Von Neumann regular rings ...
Najib Mahdou
doaj   +1 more source

Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings

Journal of Pure and Applied Algebra, 2006
It is well known that weak regularity is equivalent to regularity and biregularity for left Artinian rings. In this paper the authors prove the following result: for a ring \(R\) satisfying the ACC on right annihilators, if \(R\) is left weakly regular then \(R\) is biregular, and that \(R\) is left weakly regular if and only if \(R\) is a direct ...
Hong, Chan Yong, Jeon, Young Cheol, Kim, Kyoung Hwan, Kim, Nam Kyun, Lee, Yang   +4 more
openaire   +2 more sources

Weakly Semicommutative Rings and Strongly Regular Rings

Kyungpook mathematical journal, 2014
A ring R is called weakly semicommutative ring if for any a, b ∈ R∗ = R \ {0} with ab = 0, there exists n ≥ 1 such that either a = 0 and aRb = 0 or b = 0 and aRb = 0. In this paper, many properties of weakly semicommutative rings are introduced, some known results are extended. Especially, we show that a ring R is a strongly regular ring if and only if
Long Wang, Junchao Wei
openaire   +2 more sources

Study and characterization of some classes of polymatroidal ideals

پژوهش‌های ریاضی, 2022
Introduction Throughout this paper, we consider monomial ideals of the polynomial ring  over a filed. We try to give some properties of the polymatroidal ideals, which are the special class of monomial ideals.
Somayeh Bandari
doaj  

Left prime weakly regular near-rings

Tamkang Journal of Mathematics, 2005
In this paper we introduce the notion of left prime weakly regular, left primeweakly $ \pi $-regular and left prime pseudo $ \pi $-regular near-rings. We alsointroduce the concept of strong left prime weakly regular near-rings. We haveobtained conditions for a near-ring $ N $ to be left prime pseudo $ \pi $-regular.We have also obtained conditions for ...
Dheena, P., Sivakumar, D.
openaire   +3 more sources

Some Results on W-regular Rings

NTU Journal of Pure Sciences
Von Neumann regular rings, introduced in 1936, form a cornerstone of abstract algebra and were later extended to weakly regular rings. This work considers another extension, the W-regular rings defined by Wei [6], and explores their properties and ...
Hazim Tallat Hazim
doaj   +1 more source

Phase Angle as an Early Functional Biomarker of Cancer‐Related Fatigue in Pediatric Oncology: A Prospective Longitudinal Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Pediatric cancer remains a leading cause of morbidity and mortality worldwide, particularly in low‐and middle‐income countries. Cancer treatment may impair nutritional status, alter body composition, and exacerbate cancer‐related fatigue (CRF).
Luís Carlos Lopes‐Junior, Luiz Claudio Barreto Silva Neto, Fabiano Kenji Haraguchi, Letícia Batista de Azevedo, Marcelo Brenner Nascimento Carlini, Raphael Manhães Pessanha, Mariana Rabello Laignier, Wesley Rocha Grippa, Tania Mara Lopes Bitti Bortolini, Gláucia Zouain‐Figueiredo, Regina Aparecida Garcia de Lima, Liliana Vasquez   +11 more
wiley   +1 more source

Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations

FEBS Letters, EarlyView.
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas, Brigitta Maruzs, Zsófia E. Kálmán, Tomas Klumpler, Gyula Batta, Bálint Péterfia, Zoltán Gáspári   +6 more
wiley   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source