• Title/Summary/Keyword: *-algebra

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COHOMOLOGY RING OF THE TENSOR PRODUCT OF POISSON ALGEBRAS

  • Zhu, Can
    • 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.

FUZZY PSEUDO-IDEALS OF PSEUDO-BCK ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun
    • Journal of applied mathematics & informatics
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    • v.12 no.1_2
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    • pp.243-250
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    • 2003
  • The fuzzification of (Positive implicative) pseudo-ideals in a pseudo-BCK algebra is discussed, and several properties are investigated. Characterizations of a fuzzy pseudo-ideal are displayed.

다항식의 대수적 표현

  • 홍영희
    • Journal for History of Mathematics
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    • v.16 no.4
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    • pp.15-32
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    • 2003
  • Since algebra before the 19th century was the study of equations and equations are not differentiated from polynomials because of lack of the equality sign, the algebraic symbolism of polynomials plays very important role for tile history of algebra. We deal with the evolution of literal notations of polynomials in western and eastern worlds, and then compare their history.

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EXTENSION OF FUZZY LIE SUBALGEBRAS AND FUZZY LIE IDEALS ON U(L)

  • Kim, Chung-Gook;Kim, Hee-Sik
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.101-103
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    • 1996
  • In this note we will discuss extension of fuzzy Lie subalgebra and fuzzy Lie ideals of a Lie algebra L on universal enveloping algebra U(L) of L and will study some relations among them.

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DECOMPOSITIONS OF IDEALS IN DIFFERENCE ALGEBRAS

  • AHN, SUN SHIN
    • Honam Mathematical Journal
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    • v.28 no.3
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    • pp.343-351
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    • 2006
  • In this paper, we study decompositions of weak ideals in difference algebras and obtain equivalent conditions for closed weak ideals. Moreover, we show that if I is an ideal of a difference algebra X, then $I^g$ is an ignorable weak ideal of X.

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