scholarly journals A Study of Ordered Ag-Groupoids in terms of Semilattices via Smallest (Fuzzy) Ideals

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Venus Amjid ◽  
Faisal Yousafzai ◽  
Kostaq Hila
Keyword(s):  
Structural Properties ◽  
Ordered Semigroup ◽  
Regular Class ◽  
Strongly Regular ◽  
Associative Law

An ordered AG-groupoid can be referred to as an ordered left almost semigroup, as the main difference between an ordered semigroup and an ordered AG-groupoid is the switching of an associative law. In this paper, we define the smallest one-sided ideals in an ordered AG-groupoid and use them to characterize a strongly regular class of a unitary ordered AG-groupoid along with its semilattices and fuzzy one-sided ideals. We also introduce the concept of an orderedAG⁎⁎⁎-groupoid and investigate its structural properties by using the generated ideals and fuzzy one-sided ideals. These concepts will verify the existing characterizations and will help in achieving more generalized results in future works.

scholarly journals On smallest (generalized) ideals and semilattices of (2,2)-regular non-associative ordered semigroups

2022 ◽  
Vol 40 ◽  
pp. 1-13
Author(s):  
Mohammed M. Khalaf ◽  
Faisal Yousafzai ◽  
Muhammed Danish Zia
Keyword(s):  
Structural Properties ◽  
Ordered Semigroup ◽  
Ordered Semigroups ◽  
Regular Class ◽  
Associative Law ◽  
Generalized Ideals

An ordered AG-groupoid can be referred to as a non-associativeordered semigroup, as the main di¤erence between an ordered semigroup and anordered AG-groupoid is the switching of an associative law. In this paper, wede…ne the smallest left (right) ideals in an ordered AG-groupoid and use them tocharacterize a (2; 2)-regular class of a unitary ordered AG-groupoid along with itssemilattices and (2 ;2 _q)-fuzzy left (right) ideals. We also give the conceptof an ordered A*G**-groupoid and investigate its structural properties by usingthe generated ideals and (2 ;2 _q)-fuzzy left (right) ideals. These concepts willverify the existing characterizations and will help in achieving more generalizedresults in future works.

On Strongly Ordered Congruences and Decompositions of Ordered Semigroups

2008 ◽  
Vol 15 (04) ◽  
pp. 589-598 ◽  
Author(s):  
Xiang-yun Xie
Keyword(s):  
Direct Product ◽  
Subdirect Product ◽  
Ordered Semigroup ◽  
Ordered Semigroups ◽  
Strongly Regular ◽  
Finite Direct Product ◽  
Regular Congruence

In this paper, we introduce the concept of a strongly ordered congruence on a directed ordered semigroup S. We prove that any strongly ordered congruence on S is a strongly regular congruence. We characterize the finite direct product, subdirect product and full subdirect product of ordered semigroups by using the concepts of strongly ordered congruence and regular congruence on an ordered semigroup S.

Newborn's Preference for Faces

1996 ◽  
Vol 1 (3) ◽  
pp. 200-205 ◽  
Author(s):  
Carlo Umiltà ◽  
Francesca Simion ◽  
Eloisa Valenza
Keyword(s):  
Visual System ◽  
Structural Properties ◽  
Sensory Properties ◽  
Human Face ◽  
System Experiment ◽  
Face Experiment

Four experiments were aimed at elucidating some aspects of the preference for facelike patterns in newborns. Experiment 1 showed a preference for a stimulus whose components were located in the correct arrangement for a human face. Experiment 2 showed a preference for stimuli that had optimal sensory properties for the newborn visual system. Experiment 3 showed that babies directed their attention to a facelike pattern even when it was presented simultaneously with a non-facelike stimulus with optimal sensory properties. Experiment 4 showed the preference for facelike patterns in the temporal hemifield but not in the nasal hemifield. It was concluded that newborns' preference for facelike patterns reflects the activity of a subcortical system which is sensitive to the structural properties of the stimulus.

Investigation of the structural properties of crystallized Fe-(Cu)-Sm-B ribbons

1998 ◽  
Vol 08 (PR2) ◽  
pp. Pr2-47-Pr2-50
Author(s):  
O. Crisan ◽  
J. M. Le Breton ◽  
F. Machizaud ◽  
A. Jianu ◽  
J. Teillet ◽  
...  
Keyword(s):  
Structural Properties

A neutron scattering investigation of the structural properties of glassforming m-toluidine confined in MCM-41

2000 ◽  
Vol 10 (PR7) ◽  
pp. Pr7-95-Pr7-98 ◽  
Author(s):  
D. Morineau ◽  
F. Casas ◽  
C. Alba-Simionesco ◽  
A. Grosman ◽  
M.-C. Bellissent-Funel ◽  
...  
Keyword(s):  
Neutron Scattering ◽  
Structural Properties ◽  
Mcm 41
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