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The ring of invariants of 3 by 3 matrices
이우 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.22 No.1-2
The ring of invariants of two 2 by 2 matrices C(2, 2) is a polynomial ring with 5 variables [1]. In this paper we find the system of parameters of C(3, 2) by Groebner bases.
이우엘,안동환 한국농촌계획학회 2019 농촌계획 Vol.25 No.3
It is widely known that agricultural plastic waste incineration by farmers may cause big forest fire or fine dust in rural areas. Hence, how to increase the rate of collection and recycling of the agricultural plastic waste is of concern to policy makers especially for rural environment. The purpose of this study is to find the determinants of the collection rate of agricultural plastic waste. This study used the data from ‘Research on Agricultural Waste’ by the Korea Environment Corporation from year 2012 to 2015 for 163 regions. This study found that the compensation rate for collection, the frequency of collecting services, and the quality of waste are important to increase the collection rate. And the regions with more elderly and low income people are more likely to have higher collection rate. Finally, the chief producing regions that are specialized in a certain crop shows higher collection rate.
On New Identities for 3 by 3 Matrices
이우 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.5
In this paper we show that the polynomial of degree 9 called generalized algebraicity is a polynomial identity for 3 × 3 matrices. ([5])
On Formanek's central polynomials
이우 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.3-4
Formanek([2]) proved that Mn(K), the matrix algebra has a nontrivial central polynomial when charK = 0. Also Razmyslov([3]) showed the same result using the essential weak identity. In this article we explicitly compute Formanek’s central polynomial for M₂(C) and M₃(C) and classify the coefficients of the central polynomial.