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Week
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Topics
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Study Metarials
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1
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Basic definition and theorems
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2
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Ordered set, semilattices and lattices
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3
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Binary relations, equivalences and congruences
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4
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Ideals and Rees Congruences
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5
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Lattices of Equivalences and Congruences
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6
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Regular D-class and Regular semigroups
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7
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Unions of groups
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8
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Lattices of groups
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9
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Midterm Exam
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10
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Bands
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11
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Inverse semigroups
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12
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Relations on a inverse semigroup
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13
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Congruences on a inverse semigroup
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14
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Fundamental inverse semigroups
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Prerequisites
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-
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Language of Instruction
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Turkish
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Responsible
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Assist. Prof. Dr. Faruk KARAASLAN
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Instructors
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-
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Assistants
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The related lecturers of the department
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Resources
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1. J. M. Howie, An Introduction to Semigroup Theory, Academic Press Inc. London 1976.
2. Hofmann, Karl Heinrich, and Paul Stallings Mostert. Elements of compact semigroups. Merrill Publishing Company, 1966.
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Supplementary Book
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-
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Goals
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Yarı grup teorisi hakkında bilgi sahibi olmak
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Content
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Yarı- gruplar, latisler, idealler, grupların birleşimi, ters yarı-gruplar
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Program Learning Outcomes |
Level of Contribution |
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1
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Improve and deepen the gained knowledge in Mathematics in the speciality level
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5
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2
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Use gained speciality level theoretical and applied knowledge in mathematics
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5
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3
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Perform interdisciplinary studies by relating the gained knowledge in Mathematics with other fields.
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2
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4
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Analyze mathematical problems by using the gained research methods
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4
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5
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Conduct independently a study requiring speciliaty in Mathematics
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2
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6
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Develop different approaches and produce solutions by taking responsibility to problems encountered in applications
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4
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7
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Evaluate the gained speciality level knowledge and skills with a critical approach and guide the process of learning
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4
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8
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Transfer recent and own research related to mathematics to the expert and non-expert shareholders written, verbally and visually
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4
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9
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Make use of the necessary computer softwares and information technologies related to Mathematics
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-
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10
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Have the awareness of acting compatible with social, scientific, cultural and ethical values during the process of collecting, interpreting, applying and informing data related to Mathematics
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5
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