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LINKS IN SPECTRUM OF THE COORDINATE RING OF QUANTUM AFFINE SPACE
Oh, Sei-Qwon,Shin, Yong-Yeon Korean Mathematical Society 1998 대한수학회논문집 Vol.13 No.3
We generalize the Artin-Rees Theorem about the AR-property and study linking diagram in the set of prime ideals of the coordinate ring of quantum affine space.
POISSON BRACKET DETERMINED BY A COBRACKET
Oh, Sei-Qwon,Shin, Yong-Yeon Korean Mathematical Society 2007 대한수학회논문집 Vol.22 No.3
Let $(g,\;\delta)$ be a Lie bialgebra. Here we give an explicit formula for the Poisson bracket on a subalgebra of $U(g)^{\circ}$ induced by the given cobracket $\delta$.
A PROOF OF CAYLEY-HAMILTON THEOREM
( Sei-qwon Oh ) 충남대학교 기초과학연구소 2016 忠南科學硏究誌 Vol.33 No.2
A simple proof of Cayley-Hamilton theorem is given.
DUALITY OF CO-POISSON HOPF ALGEBRAS
Oh, Sei-Qwon,Park, Hyung-Min Korean Mathematical Society 2011 대한수학회보 Vol.48 No.1
Let A be a co-Poisson Hopf algebra with Poisson co-bracket $\delta$. Here it is shown that the Hopf dual $A^{\circ}$ is a Poisson Hopf algebra with Poisson bracket {f, g}(x) = < $\delta(x)$, $f\;{\otimes}\;g$ > for any f, g $\in$ $A^{\circ}$ and x $\in$ A if A is an almost normalizing extension over the ground field. Moreover we get, as a corollary, the fact that the Hopf dual of the universal enveloping algebra U(g) for a finite dimensional Lie bialgebra g is a Poisson Hopf algebra.
LIE BIALGEBRAS ARISING FROM POISSON BIALGEBRAS
Oh, Sei-Qwon,Cho, Eun-Hee Korean Mathematical Society 2010 대한수학회지 Vol.47 No.4
It gives a method to obtain a natural Lie bialgebra from a Poisson bialgebra by an algebraic point of view. Let g be a coboundary Lie bialgebra associated to a Poission Lie group G. As an application, we obtain a Lie bialgebra from a sub-Poisson bialgebra of the restricted dual of the universal enveloping algebra U(g).
GRӦBNER-SHIRSHOV BASIS AND ITS APPLICATION
Oh, Sei-Qwon,Park, Mi-Yeon 충청수학회 2003 충청수학회지 Vol.15 No.2
An efficient algorithm for the multiplication in a binary finite filed using a normal basis representation of $F_{2^m}$ is discussed and proposed for software implementation of elliptic curve cryptography. The algorithm is developed by using the storage scheme of sparse matrices.
A NONDEGENERATE BILINEAR FORM INDUCED BY COLOR POISSON BIALGEBRA
Oh, Sei-Qwon,Sim, Hanna Chungcheong Mathematical Society 2015 충청수학회지 Vol.28 No.2
Let H be a color Poisson bialgebra. Here we find a canonical nondegenerate bilinear form $\mathfrak{g}(H){\times}\mathfrak{m/m^2}$, where $\mathfrak{g}(H)$ and $\mathfrak{m/m^2}$ are certain color Lie algebras induced by H.
Oh, Sei-Qwon,Shin, Yong-Yeon Korean Mathematical Society 1995 대한수학회논문집 Vol.10 No.3
The simple modules and the simple comodules of the quantum group $X)q(2)$ defined by M. L. Ge, N. H. Jing and Y. S. Wu, are classified.
A Semi-Prime Ring with Chain Condition
Oh, Sei-Qwon 충남대학교 자연과학연구소 1986 忠南科學硏究誌 Vol.13 No.1
Semi-prime환이 left Artinian일 필요충분조건은 right Artinian이다. 그리고 simple principal right ideal domain이지만 left Noetherian이 아닌 환을 만들었다. In this note, we show that a semi-prime ring is left Artinian if and only if it is right Artinian and we construct a simple principle right ideal domain but not a left Noetherian domain.