A new kind of generalized fuzzy
h-ideals of a hemiring, namely, the
(
∈
,
∈
∨
q
)
-fuzzy
h-bi-ideal (resp.,
h-quasi-ideal) is studied and the relationships between these generalized fuzzy
h-ideals ...are described. Some characterization theorems of prime and semiprime
(
∈
,
∈
∨
q
)
-fuzzy
h-bi-ideals (resp.,
h-quasi-ideals) of a hemiring are also given. In particular, we show that the
h-hemiregular hemirings and
h-intra-hemiregular hemirings can be described by using some of their generalized fuzzy
h-ideals. Finally, the implication-based fuzzy
h-bi-ideals (resp.,
h-quasi-ideals) of a hemiring are considered.
Abstract
In this paper, as a further generalization of ideals, we introduce the notion of symmetric bi-interior ideal as a generalization of symmetric quasi ideal, symmetric bi-ideal and symmetric ...interior ideal of symmetric semigroup and study the properties of symmetric bi-interior ideals of symmetric semigroup and simple symmetric semigroup.
Objective
The present meta‐analysis summarizes existing evidence on the relationship between the internalization of body shape ideals (IBSI) and body dissatisfaction.
Method
Pooled effect sizes (r) ...were computed using a random‐effects model. The robustness of the results was examined using influence analyses. Potential predictors of effect heterogeneity were examined using subgroup analysis and univariable/multivariable meta‐regressions. Publication bias was examined using the three‐parameter selection model (3PSM).
Results
A total of 141 effect‐sizes from 78 studies (N = 39,491) were retrieved. Results revealed medium (r = .25; muscular/athletic‐ideal internalization) to very large (r = .43, general attractiveness‐ideal internalization; and r = .45, thin‐ideal internalization) relationships, all these being largely similar in male and female individuals.
Discussion
IBSI and body dissatisfaction were strongly linked: (a) in younger individuals (general attractiveness‐ideal internalization); (b) when IBSI was operationalized in terms of endorsement rather than mere awareness of appearance ideals; (c) in studies of lower methodological quality (muscular/athletic‐ideal internalization); and (d) when IBSI was assessed using instruments involving social comparisons. Given the largely cross‐sectional nature of data included in this meta‐analysis, further testing in prospective and experimental studies is needed to confirm hypotheses about causality of observed associations. Such findings would have impact for prevention and intervention studies.
Resumen
Objetivo
El presente metanálisis resume la evidencia existente sobre la relación entre la internalización de los ideales de la figura corporal (IBSI) y la insatisfacción corporal.
Método
Los tamaños de los efectos agrupados (r) se calcularon utilizando un modelo de efectos aleatorios. La robustez de los resultados se examinó mediante análisis de influencia. Los predictores potenciales de heterogeneidad del efecto se examinaron mediante análisis de subgrupos y metarregresión univariable/multivariable. El sesgo de publicación se examinó mediante la inspección visual de la simetría de la gráfica de embudo y la prueba de Egger.
Resultados
Se recuperó un total de 141 tamaños de efectos de 78 estudios (N = 39 491). Los resultados revelaron relaciones medias (r = .25; internalización muscular/atlética‐ideal) a relaciones muy grandes (r = .43, internalización ideal de atractivo general; y r = .45, internalización delgada‐ideal), siendo todas ellas en gran parte similares en individuos masculinos y femeninos.
Discusión
La Internalización de los Ideales de la Figura Ideal (IBSI) y la insatisfacción corporal fueron ligados fuertemente: (i) en individuos más jovenes (internalización atractivo‐ideal general); (ii) cuando IBSI se puso en marcha en términos de aprobación en lugar de la mera conciencia de los ideales de apariencia; (iii) en estudios de menor calidad metodológica (internalización muscular/atlética‐ideal); y (iv) cuando IBSI fue evaluado utilizando instrumentos que implican comparaciones sociales. Dada la gran naturaleza transversal de los datos incluidos en este metanálisis, se necesitan pruebas adicionales en estudios prospectivos y experimentales para confirmar hipótesis sobre la causalidad de las asociaciones observadas. Tales hallazgos tendrían impacto para los estudios de prevención e intervención.
In this article, the notion of intuitionistic fuzzy bi-quasi ideal of semiring has been explored and some results using regularity concept are analyzed.
Let
be a group and
be a
-graded commutative ring with nonzero unity 1. In this article, we introduce the concept of graded weakly 1-absorbing primary ideals which is a generalization of graded ...1-absorbing primary ideal. A proper graded ideal
of
is said to be a graded weakly 1-absorbing primary ideal of
if whenever nonunit elements
such that
, then
or
, for some
. Several properties of graded weakly 1-absorbing primary ideals are investigated.
Limit points of subsequences Leonetti, Paolo
Topology and its applications,
08/2019, Letnik:
263
Journal Article
Recenzirano
Odprti dostop
Let x be a sequence taking values in a separable metric space and let I be an Fσδ-ideal on the positive integers (in particular, I can be any Erdős–Ulam ideal or any summable ideal). It is shown that ...the collection of subsequences of x which preserve the set of I-cluster points of x is of second category if and only if the set of I-cluster points of x coincides with the set of ordinary limit points of x; moreover, in this case, it is comeager.
The analogue for I-limit points is provided. As a consequence, the collection of subsequences of x which preserve the set of ordinary limit points is comeager.
Let R be a commutative ring with 1 ≠ 0. In this paper, we introduce the concept of weakly 2-absorbing primary ideal which is a generalization of weakly 2-absorbing ideal. A proper ideal I of R is ...called a weakly 2-absorbing primary ideal of R if whenever a, b, c ∈ R and 0 ≠ abc ∈ I, then ab ∈ I or ac ∈ √I or bc ∈ √I. A number of results concerning weakly 2-absorbing primary ideals and examples of weakly 2-absorbing primary ideals are given. KCI Citation Count: 26
Abstract
This paper defines the fuzzy congruence relation of GADFL (Generalized nearly distributive fuzzy lattices). The ideas of
θ
- ideal and
θ
- Prime ideal are introduced in GADFL, and the fuzzy ...congruence relation is used to explain these ideals.
AMS subject classification: 06D72, 06F15, 08A72.
Let $R$ be a commutative semiring with $ 1 \neq0$. In this paper, we study the concept of weakly 1-absorbing primary ideal which is a generalization of 1-absorbing ideal over commutative semirings . ...A proper ideal $I$ of a semiring $R$ is called a weakly 1-absorbing primary ideal if whenever nonunit elements $a,b,c \in R$ and $0 \neq abc \in I$, then $ab \in I $, or $c \in \sqrt{I}$. A number of results concerning weakly 1-absorbing primary ideals and examples of weakly 1-absorbing primary ideals are given. An ideal is called a subtractive ideal $I$ of a semiring $R$ is an ideal such that if $ x,x+y\in I$, then $ y\in I$. Subtractive ideals or k-ideals are helpful in proving in many results related to ideal theory over semirings.
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