Let I n be the symmetric inverse semigroup on X n = {1, 2, · · · , n} and let DDP n and ODDP n be its subsemigroups of order-decreasing partial isometries and of order-preserving order-decreasing partial isometries of X n , respectively. In this paper we investigate the cycle structure of order-decreasing partial isometry and characterize the Green's relations on DDP n and ODDP n . We show that ODDP n is a 0 − E − unitary ample semigroup. We also investigate the cardinalities of some equivalences on DDP n and ODDP n which lead naturally to obtaining the order of the semigroups. 1 2 MSC2010 : 20M18, 20M20, 05A10, 05A15.
Problem Statement: There are some special classes of semi group namely: regular and eventually regular, abundant, orthodox, quasi-adequate. The objective of this study were to: (i) Define a new class of semi group on a Poset and give related examples (ii) Study and establish conditions that characterized Chain as a regular semi group. Approach: Tests of some of characteristics of semi group like associativity, commutativity, and regular semi group were carried out on this new class. Results: Conditions were obtained that showed it is associative and regular. Conclusion: Hence the results suggest that since Chain is regular, there are many other things we can still do this with class of semi group such as: (i) Whether one can characterize all the Green's equivalences and their starred analogues (ii) Whether one can characterize all the congruencies of the given semi group (iii) Whether one characterize all the subsemigroups of the given semi group.
Background: Diarrheal infections are one of the leading causes of sickness and death all over the world. It is the second-most common cause of under-five mortality, accounting for over half a million deaths annually. In Abeokuta, the etiology of diarrheagenic bacteria and diarrheagenic viruses has not been well studied.
Objective: To determine the prevalence of Enteropathogenic Escherichia coli and Rotavirus Antigen among Diarrheic Children attending Selected Hospitals in Abeokuta, Nigeria: A Comparative study.
Methods: A total of 315 stool samples were collected from children 0–5 years of age across three selected hospitals. With a wooden spatula, 5ml of fecal sample was scooped and decanted into clean, labeled screw-capped tubes. Rotavirus antigen screening was performed according to the manufacturers’ instructions, while EPEC screening was performed using cultural, biochemical, and stereotyping methods.
Results: From the sample screening performed, 30 (37.04%) were EPEC positive, whereas 51 (62.96%) were positive for rotavirus. Dissemination of children based on ageshowed that children between 7–12 months had the most elevated predominance of Rotavirus infection 17 (33.33%) while the lowest predominance was observed in children between 0–2 months 4 (7.84%). Furthermore, the highest predominance of EPEC diseases was observed in children between 7–12 months 12 (40%) and the lowest predominance in children between 19–24 months 2 (6.67%).
Conclusion: This study had demonstrated a higher prevalence of Rotavirus infection as compared to EPEC diseases among Diarrheic Children within the study location.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.