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Professor Birkenmeier is working with a team of researchers in Turkey

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Emeritus Professor Gary F. Birkenmeier is working with a six person (including Dr. Birkenmeier) research team in Turkey sponsored by the Scientific and Technological Research Council of Turkey (Tubitak). The team consists of: Dr. Gary F. Birkenmeier, Dr. Nayil Kilic, Dr. Figen Takil Mutulu, Ms. Edanur Tastan, Dr. Adnan Tercan, and Dr. Ramazan Yasar. The three-year grant was obtained by Dr. Figen Takil Mutulu to study Nearrings which satisfy Baer annihilator conditions and/or extending conditions. A nearring is a number system with two binary operations which satisfy certain laws. Some examples are: the Real numbers with usual addition and multiplication, the complex numbers with usual addition and multiplication, the set of all functions from a group into itself with pointwise addition of functions and function composition as the binary operations. In particular, the set of all functions (or all continuous functions) on the group of Real numbers with usual addition is a nearring with pointwise addition of functions and composition of functions as the binary operations of the nearring. Nearrings have applications in various areas of mathematics such as: Group theory, Ring theory, Combinatorics, Geometry, and Topology. Also, there are applications in: Automata, Coding theory, Cryptography, and Design of Experiments.

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