• Communications of the Korean Mathematical Society
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• v.10 no.3
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• pp.545-560
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• 1995

In this paper, we show one family of normal quintic surfaces in $P^3$ which are birationally isomorphic to Enriques surfaces. We prove that the dimension of the moduli space of these Enriques surfaces is 6.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.933-936
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• 1996

In this paper, we shall prove that the Kim-Kostrikin group is isomorphic to a hyperbolic orbifold group and so it is infinite.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.3
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• pp.547-556
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• 2013

We investigate complemented Banach sublattices of the Banach envelope of $WeakL^1$. In particular, the Banach envelope of $WeakL^1$ contains a complemented Banach sublattice that is isometrically isomorphic to a separable reflexive Banach lattice.

• Communications of the Korean Mathematical Society
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• v.10 no.2
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• pp.401-407
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• 1995

The best constants for two distinct weak-type inequalities for martingales and their differential subordinates with values in some spaces isomorphic to a Hilbert space are shown to be the same. This extends the result of Burkholder shown in the Hilbert space setting.

• Journal of the Korean Mathematical Society
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• v.36 no.3
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• pp.545-566
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• 1999

In this paper we describe normal quintic surfaces in P which are birationally isomorphic to Enriques surfaces. especially we characterize the sublinear systems which give rise to one of two Stagnaro's normal quintic surfaces in P3.

• Communications of the Korean Mathematical Society
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• v.17 no.3
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• pp.451-457
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• 2002

Let (R, m, k) be a maximal commutative k-subalgebra of M$\sub$n/(k) where the index of nilpotency i(m) of m is 3. If the socle of R is of special case, then we can construct some isomorphic maximal commutative subalgebras.

• Bulletin of the Korean Mathematical Society
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• v.27 no.2
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• pp.113-120
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• 1990

In this paper we introduce S(X, $x_{0}$) which is a generalization of Ellis group G(X, $x_{0}$), and S-sets in S(X, $x_{0}$). In particular we cind the sufficient condition for the group A(I) of all automorphisms of I and K=Iu to be isomorphic, where I is a minimal right ideal and u is an idempotent of I.f I.

• Journal of the Korean Mathematical Society
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• v.57 no.1
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• pp.113-129
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• 2020

In this paper, we study the Poisson cohomology ring of the tensor product of Poisson algebras. Explicitly, it is proved that the Poisson cohomology ring of tensor product of two Poisson algebras is isomorphic to the tensor product of the respective Poisson cohomology ring of these two Poisson algebras as Gerstenhaber algebras.

• Honam Mathematical Journal
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• v.1 no.1
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• pp.77-81
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• 1979

Almost mathematicians wish to study on the classification of the objects within isomorphism and determination of effective and computable invariants to distinguish the isomorphism classes. In topology, the concepts of homotopy and homeomorphism are such examples. In this lecture I shall speak of with respect to (i) Thom's cobordism group (ii) Cobordism category (iii) finally, the semigroup in cobordism category is isomorphic to the Thom's cobordism group.

• Journal of the Korean Mathematical Society
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• v.41 no.1
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• pp.51-64
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• 2004

Q-reflexive locally convex spaces are spaces where $\widehat{\bigotimes}_{n,s,\pi}\;{E_e}^{"}\;and\;\overline{{(P(^nE),\;\taub)_i}^'}$ are isomorphic in a canonical way for every n. We investigate properties and find examples of such spaces.