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In mathematics, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. Integral domains are generalizations of the ring of integers and provide a natural setting for studying divisibility. In an integral domain, every nonzero element a has the cancellation property, that is, if a ≠ 0, an equality ab = ac implies b = c.
In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. Informally, a ring is a set equipped with two binary operations satisfying properties analogous to those of addition and multiplication of integers. Ring elements may be numbers such as integers or complex numbers, but they may also be non-numerical objects such as polynomials, square matrices, functions, and power series.
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Aderemi Oluyomi Kuku was a Nigerian mathematician and academic, known for his contributions to the fields of algebraic K-theory and non-commutative geometry. Born in Ijebu-Ode, Ogun State, Nigeria, Kuku began his academic journey at Makerere University College and the University of Ibadan, where he earned his B.Sc. in Mathematics, followed by his M.Sc. and Ph.D. under Joshua Leslie and Hyman Bass. His doctoral research focused on the Whitehead group of p-adic integral group-rings of finite p-groups. Kuku held positions as a lecturer and professor at various Nigerian universities, including the University of Ife and the University of Ibadan, where he served as Head of the Department of Mathematics and Dean of the Postgraduate School. His research involved developing methods for computing higher K-theory of non-commutative rings and articulating higher algebraic K-theory in the language of Mackey functors. His work on equivariant higher algebraic K-theory and its generalisations impacted the field.
Alexandra Seceleanu is a Romanian mathematician specializing in commutative algebra. She is an associate professor of mathematics at the University of Nebraska–Lincoln. She was awarded the 2024-2025 Ruth I. Michler Memorial Prize.
References
- ↑ "Jim Coykendall Mathematical and Statistical Sciences". Clemson University. Retrieved 4 April 2022.
- 1 2 3 "News from around the college: leadership changes" (PDF). Ideas. Clemson University. 2013. Retrieved 4 April 2022.
- ↑ Coykendall, James Barker (1995). Normsets and rings of algebraic integers (PhD). Cornell University. ProQuest 9528210.
- ↑ Jim Coykendall at the Mathematics Genealogy Project
- ↑ "Jim Coykendall Professor of Mathematics/James A. Meier Professor". North Dakota State University. Retrieved 4 April 2022.
- ↑ Coykendall, Jim; Schenck, Hal (2009). "Preface". Journal of Commutative Algebra. 1 (1): 1–2. doi:10.1216/JCA-2009-1-1-1.
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