Results 1 to 10 of about 2,912 (174)

On Magnifying Elements in E-Preserving Partial Transformation Semigroups

Mathematics, 2018
Let S be a semigroup. An element a of S is called a right [left] magnifying element if there exists a proper subset M of S satisfying S = M a [ S = a M ] . Let E be an equivalence relation on a nonempty set X.
Thananya Kaewnoi, Montakarn Petapirak, Ronnason Chinram   +2 more
doaj   +3 more sources

Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation

Journal of Mathematics, 2021
Let X be a nonempty set and ρ be an equivalence relation on X. For a nonempty subset S of X, we denote the semigroup of transformations restricted by an equivalence relation ρ fixing S pointwise by EFSX,ρ.
Thananya Kaewnoi, Ronnason Chinram, Montakarn Petapirak   +2 more
doaj   +1 more source

On semigroups of transformations that preserve a double direction equivalence

Open Mathematics, 2023
For a non-empty set XX, denote the full transformation semigroup on XX by T(X)T\left(X) and suppose that EE is an equivalence relation on XX. Evidently, TE∗(X)={α∈T(X)∣(x,y)∈Eif and only if(xα,yα)∈Efor allx,y∈X}{T}_{{E}^{\ast }}\left(X)=\left\{\alpha \in
Chen Hui, Liu Xin, Wang Shoufeng
doaj   +1 more source

Left and Right Magnifying Elements in the Semigroup of all Binary Relations

European Journal of Pure and Applied Mathematics, 2020
An element a of a semigroup S is called left [right] magnifying if there exists a proper subset M of S such that S = aM [S = M a]. Let X be a nonempty set and BX the semigroup of binary relations on X. In this paper, we give necessary and sufficient conditions for elements in BX to be left or right magnifying.
Watchara Teparos, Soontorn Boonta, Thitiya Theparod   +2 more
openaire   +1 more source

Left and Right Magnifying Elements in Generalized Semigroups of Transformations by Using Partitions of a Set

European Journal of Pure and Applied Mathematics, 2018
An element a of a semigroup S is called left [right] magnifying if there exists a proper subset M of S such that S = aM [S = Ma]. Let X be a nonempty set and T(X) be the semigroup of all transformation from X into itself under the composition of functions. For a partition P = {X_α | α ∈ I} of the set X, let T(X,P) = {f ∈ T(X) | (X_α)f ⊆ X_α 
Ronnason Chinram, Pattarawan Petchkaew, Samruam Baupradist   +2 more
openaire   +2 more sources

A Window Beneath the Skin: The History of Dermoscopy from Curiosity to Clinical Cornerstone. [PDF]

Dermatol Pract Concept
Marghoob AA.
europepmc   +1 more source

Development and Verification of Crack-Enriched Elements Based on XFEM. [PDF]

Materials (Basel)
Shi Y, Chen L, Zhao P, Huo J, Shi L.
europepmc   +1 more source

Diagnostic Utility of Endoscopic Features and Endoscopic Ultrasonography for Ulcerative Colitis-Associated Neoplasia: A Retrospective Study on the Role of Endoscopic Submucosal Dissection as a Total Biopsy. [PDF]

Cancers (Basel)
Yoshida S, Komeda Y, Kono M, Handa K, Nagai T, Hagiwara S, Omoto S, Takenaka M, Kashida H, Tribonias G, Daito K, Kawamura J, Kudo M.   +12 more
europepmc   +1 more source

Core Concepts for Early Childhood Microbiology Education. [PDF]

Microb Biotechnol
Di Capua CB, Ceccoli RD, Campero MB, Bortolotti A.   +3 more
europepmc   +1 more source

Fasting and Fasting-Mimicking Diets as Adjunctive Strategies in Cancer Therapy: Mechanisms, Evidence, and Clinical Implications. [PDF]

Int J Gen Med
Wali SS.
europepmc   +1 more source