Author: "Sei-Qwon Oh" / Language: english - Searchworks@Jio Institute Digital Library Search Results

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Author: JIAFENG LÜ, SEI-QWON OH, XINGTING WANG, and XIAOLAN YU
Subjects: *BIJECTIONS, *HOPF algebras, *NOETHERIAN rings, *GORENSTEIN rings, *HOMOMORPHISMS
Abstract: Certain sufficient homological and ring-theoretical conditions are given for a Hopf algebra to have a bijective antipode with applications to noetherian Hopf algebras regarding their homological behaviors. [ABSTRACT FROM AUTHOR]
Published: 2018
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Author: Sei-Qwon Oh and David A. Jordan
Subjects: Discrete mathematics, Class (set theory), Polynomial, Pure mathematics, Bracket, Mathematics - Rings and Algebras, 17B63, Poisson distribution, Prime (order theory), Spectral line, Poisson bracket, symbols.namesake, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Rings and Algebras (math.RA), Mathematics::Quantum Algebra, Mathematics - Quantum Algebra, symbols, FOS: Mathematics, Quantum Algebra (math.QA), Mathematics::Symplectic Geometry, Mathematics, Poisson algebra
Abstract: Poisson brackets on the polynomial algebra C[x,y,z] are studied. A description of all such brackets is given and, for a significant class of Poisson brackets, the Poisson prime ideals and Poisson primitive ideals are determined. The results are illustrated by numerous examples., includes minor corrections to published version
Published: 2012

Author: Deok-Hoon Boo, Sei-Qwon Oh, Chun-Gil Park, and Jae-Myung Park
Subjects: Mathematics::Functional Analysis, Mathematics::Operator Algebras, General Mathematics
Abstract: We prove the generalized Hyers-Ulam-Rassias stability of general- ized Jensens equations in Banach modules over a unital C∗-algebra associ- ated with its unitary group. It is applied to show the stability of generalized Jensens equations in a Hilbert module over a unital C∗-algebra associated with its unitary group.
Published: 2003

Author: Sei-Qwon Oh and Chun-Gil Park
Subjects: Mathematics::Functional Analysis, Mathematics::Operator Algebras, 47J25, General Mathematics, Hilbert module over $C^*$-algebra, 39B72, stability, $A$-linear, Banach module over Banach algebra
Abstract: We prove the generalized Hyers-Ulam-Rassias stability of the invertible mapping in a Banach module over a unital Banach algebra in the spirit of G\u avruta, and prove the generalized Hyers-Ulam-Rassias stability of linear functional equations in a Hilbert module over a unital $C^*$-algebra in the spirit of G\u avruta.
Published: 2003

Author: Sei-Qwon Oh and Park, Chun-Gil
Subjects: MATHEMATICS, TORUS, MANIFOLDS (Mathematics), TOPOLOGICAL spaces, RINGS of integers
Abstract: The non-commutative torus C[sup*] (Z[supn], ω) is realized as the C*[sup]-algebra of sections of a locally trivial C[sup*]-algebra bundle over S[subω] with fibres isomorphic to C[sup*](Z[supn]/S[subω], ω[sub1]) for a totally skew multiplier ω[sub1] on Z[supn]/S[subω]. D. Poguntke [9] proved that Aω is stably isomorphic to C(S[subω]) ⊗C[sup*](Z[subn]/S[subω],ω[sub1]) ≅ C (S[subω])⊗ A[sub&phi] ⊗ M[subkl](C) for a simple non-commutative torus A[sub&phi] and an integer kl. It is well-known that a stable isomorphism of two separable C[sup*]-algebras is equivalent to the existence of equivalence bimodule between them. We construct an A[subω]-C(S[subω]) ⊗ A[sub&phi]-equivalence bimodule. [ABSTRACT FROM AUTHOR]
Published: 2003

Author: Sei-Qwon Oh and Chun-Gil Park
Subjects: *TORUS, *MULTIPLIERS (Mathematical analysis)
Abstract: Examines the bundle structure of non-commutative tori. Object for unitary ω-representations; Restriction of ω-representations; Decomposition of multipliers.
Published: 1999

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