• 제목/요약/키워드: quasi-*-invertible

검색결과 12건 처리시간 0.016초

ON A QUASI-POWER MODULE

  • PARK CHIN HONG;SHIM HONG TAE
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.679-687
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    • 2005
  • In this paper we shall give a new definition for a quasi-power module P(M) and discuss some properties for P(M). The quasi-power module P(M) is a direct sum of invertible quasi-submodules C(H)'s of P(M) and then the quasi-submodule C(H) is also a direct sum of strongly cyclic quasi-submodules of C(H). When M is a quasi-perfect right R-module, we shall see that the quasi-power module P(M) is invertible.

ON QUASI-PERFECT AND POWER AUTOMATA

  • Park, Chin-Hong;Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • 제16권1_2호
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    • pp.559-569
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    • 2004
  • In this paper we shall discuss the quasi-perfect automata associated with power automata. We shall give the fact that its power automaton is invertible if an automaton A is quasi-perfect. Moreover, some subgroups and normal subgroups of the characteristic semigroup X(M) will have the very interesting parts in their structures.

NOTES ON REGULAR AND INVERTIBLE AUTOMATA

  • Park, Chin_Hong;Shim, Hong-Tae
    • Journal of applied mathematics & informatics
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    • 제16권1_2호
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    • pp.551-558
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    • 2004
  • We shall discuss some properties of quasi-homomorphisms associated with automata. We shall give some characterizations in terms of characteristic semigroups for regular and invertible attomata.

SOME PROPERTIES ON THE CHARACTERISTIC RING-MODULES

  • PARK CHIN HONG;LIM JONG SEUL
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.771-778
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    • 2005
  • In this paper we shall give some group properties derived from the characteristic ring-module $_X(M)$, using the fact that $_X(M)_H$ is a conjugate to $_X(M)_{Ha}$ when M is an invertible right R-module. Also we shall prove that_X(M)$ is group-isomorphic to TR and some normal subgroup properties if M is invertible and R is commutative.

ON QUASI-STABLE EXCHANGE IDEALS

  • Chen, Huanyin
    • 대한수학회지
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    • 제47권1호
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    • pp.1-15
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    • 2010
  • We introduce, in this article, the quasi-stable exchange ideal for associative rings. If I is a quasi-stable exchange ideal of a ring R, then so is $M_n$(I) as an ideal of $M_n$(R). As an application, we prove that every square regular matrix over quasi-stable exchange ideal admits a diagonal reduction by quasi invertible matrices. Examples of such ideals are given as well.

ON QB-IDEALS OF EXCHANGE RINGS

  • Chen, Huanyin
    • 대한수학회보
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    • 제46권5호
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    • pp.873-884
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    • 2009
  • We characterize QB-ideals of exchange rings by means of quasi-invertible elements and annihilators. Further, we prove that every $2\times2$ matrix over such ideals of a regular ring admits a diagonal reduction by quasi-inverse matrices. Prime exchange QB-rings are studied as well.

A BERBERIAN TYPE EXTENSION OF FUGLEDE-PUTNAM THEOREM FOR QUASI-CLASS A OPERATORS

  • Kim, In Hyoun;Jeon, In Ho
    • Korean Journal of Mathematics
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    • 제16권4호
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    • pp.583-587
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    • 2008
  • Let $\mathfrak{L(H)}$ denote the algebra of bounded linear operators on a separable infinite dimensional complex Hilbert space $\mathfrak{H}$. We say that $T{\in}\mathfrak{L(H)}$ is a quasi-class A operator if $$T^*{\mid}T^2{\mid}T{{\geq}}T^*{\mid}T{\mid}^2T$$. In this paper we prove that if A and B are quasi-class A operators, and $B^*$ is invertible, then for a Hilbert-Schmidt operator X $$AX=XB\;implies\;A^*X=XB^*$$.

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MONOIDAL FUNCTORS AND EXACT SEQUENCES OF GROUPS FOR HOPF QUASIGROUPS

  • Alvarez, Jose N. Alonso;Vilaboa, Jose M. Fernandez;Rodriguez, Ramon Gonzalez
    • 대한수학회지
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    • 제58권2호
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    • pp.351-381
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    • 2021
  • In this paper we introduce the notion of strong Galois H-progenerator object for a finite cocommutative Hopf quasigroup H in a symmetric monoidal category C. We prove that the set of isomorphism classes of strong Galois H-progenerator objects is a subgroup of the group of strong Galois H-objects introduced in [3]. Moreover, we show that strong Galois H-progenerator objects are preserved by strong symmetric monoidal functors and, as a consequence, we obtain an exact sequence involving the associated Galois groups. Finally, to the previous functors, if H is finite, we find exact sequences of Picard groups related with invertible left H-(quasi)modules and an isomorphism Pic(HMod) ≅ Pic(C)⊕G(H∗) where Pic(HMod) is the Picard group of the category of left H-modules, Pic(C) the Picard group of C, and G(H∗) the group of group-like morphisms of the dual of H.

QUASI SIMILARITY AND INJECTIVE p-QUASIHYPONORMAL OPERATORS

  • Woo, Young-Jin
    • 대한수학회보
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    • 제42권3호
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    • pp.653-659
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    • 2005
  • In this paper it is proved that quasisimilar n-tuples of tensor products of injective p-quasihyponormal operators have the same spectra, essential spectra and indices, respectively. And it is also proved that a Weyl n-tuple of tensor products of injective p-quasihyponormal operators can be perturbed by an n-tuple of compact operators to an invertible n-tuple.