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Transformation Semigroup of Alternating Nonnegative Integers

Advances in Pure Mathematics 2022年第11期12卷 614-623页

作者： adenike olusola adeniji Janet Ifiok Obafemi Department of Mathematics Faculty of Science University of Abuja Abuja Nigeria

Set of integers, Zn is split into even-odd parts. The even part is arranged in ways, while the odd part fixes one point at a time to compliment the even part thereby forming the semigroup, AZn. Thus, -spaces are filled choosing maximum of two even points at a time. Green’s relations have formed important structures that enhance the algebraic study of transformation semigroups. The semigroup of Alternating Nonnegative Integers for n-even (AZn-even) is shown to have only two D-classes, and there are -classes for n≥4. The cardinality of L-classes is constant. Certain cardinalities and some other properties were derived. The coefficients of the zigzag triples obtained are 1, and . The second and third coefficients can be obtained by zigzag addition.

关键词： Green’s Relations Partial Order Relation Idempotents Band Generator

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Transformation Semigroup of Alternating Nonnegative Integers

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Advances in Pure Mathematics 2022年第11期

作者： adenike olusola adeniji Janet Ifiok Obafemi

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Imaging Findings in Chest Computed Tomography: Initial Experience in a Developing Country

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Open Journal of Clinical Diagnostics 2017年第4期7卷 113-123页

作者： adenike T. adeniji-Sofoluwe Ademola J. Adekanmi Richard Efidi Department of Radiology College of Medicine University of Ibadan Ibadan Nigeria Department of Radiology University College Hospital Ibadan Nigeria

Background:?High resolution chest computed tomography (HRCT) is an established imaging modality that accurately assesses disease processes that are non-specific on conventional chest radiography. Chest Computed Tomography (CT) has proven invaluable in the evaluation of various diseases of the chest providing precise diagnosis that have great impact on the course of management. In this study, our aim is to evaluate the spectrum of radiological findings in all patients that had chest CTs at a tertiary health Institution in a developing Country. Method: This is a 6-year retrospective study of all patients that had Chest CT from 2009 till 2015. All patient data were retrieved and their Chest CT images reviewed and radiological findings and diagnosis documented. Results: Age range of patients was 1 - 84 years with a mean of 52.36 ± 22.9 years. Ten patients were children (12%). There were more males 53 (63.1%) than females 31 (36.9%) in the study. Referral for imaging was predominantly from internal medicine 33 (47.1%) and Surgery 27 (38.6%) departments. Most of the patients, 53 (63.1%) did not have previous chest radiographs. Consolidative changes were the most common parenchymal finding (77.4%). Few mediastinal masses were found in the study population. CT angiography constituted only 10.7% of all chest CTs done in adults. Conclusion: Few chest CT evaluations are performed compared to CTs of other parts of the body done in the same period. Chest CT is generally under-utilized even in a tertiary institution. There is a need to educate chest physicians on the role and advantages of CT use for the management of their patients.

关键词： Chest High Resolution Computed Tomography (CT) Findings

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