The Department of Algebra of the Mathematics Faculty was awarded a February 16 Science and Technology Prize, the DPRK's top science and technology award, on January 8, Juche 102(2013) for the contribution to the study of basic theories in algebra.
The research group was the first to solve four open problems arising in the theories of finite fields and incline algebra that are actively being studied in keeping with the development of information science and technology, which has enabled it to lead the world in theoretical study of this branch.
First, they found a condition for assessing the indices of matrices in incline algebra, a problem jointly proposed by American and Chinese scholars in Juche 73(1984).
The result was published in the US journal Linear Algebra and Its Applications (Volume 387, pp 143-165, 2004).
Second, they computed the maximum order-index of matrices in incline algebra, another problem jointly proposed by American and Chinese scholars in Juche 73(1984).
The result was published in the same American journal (Volume 420, pp 228-234, 2007).
Third, they solved the matrix equations in incomplete Brouwerian lattices, a problem jointly proposed by Italian, French and Canadian scholars in Juche 78(1989).
The result was published in the Dutch journal Fuzzy Sets and Systems (Volume 159, pp 40-46, 2008).
Fourth, they solved the problem of divisibility of Kloosterman sums modulo 4 in the finite field of characteristic 3, which was proposed by Canadian scholars in Juche 97(2008).
The result was published in the Bulgarian journal Comptes Rendus (Volume 64, pp 5-10, 2011).
The main results the department produced in the study of algebraic structures were published as 28 study papers in the authoritative international academic journals that are issued by the US, the Netherlands, the UK, China and Bulgaria including Linear Algebra and Its Applications and Finite Fields and Their Applications, and they were cited over 240 times in the essays written by foreign researchers.
