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SOME MONOMIAL SEQUENCES ARISING FROM GRAPHS

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초록

s-sequences and d-sequences are fundamental sequences intensively studied in many fields of algebra. In this paper we are interested in dealing with monomial sequences associated to graphs in order to establish conditions for which they are s-sequences and/or d-sequences.

Abstract

s-sequences and d-sequences are fundamental sequences intensively studied in many fields of algebra. In this paper we are interested in dealing with monomial sequences associated to graphs in order to establish conditions for which they are s-sequences and/or d-sequences.

참고문헌 (7)

  1. J. Herzog, "s-sequences and symmetric algebras", Manuscripta Math, 104(4), pp.479~501 (2001)
  2. C. Huneke, "The theory of d-sequences and powers of ideals", Adv. in Math, 46(3), pp.249~279 (1982)
  3. M. Imbesi, "Edge ideals and connection problems", Commun. Appl. Ind. Math, 1(2), pp.127~134 (2010)
  4. M. Imbesi, "Invariants of symmetric algebras associated to graphs", Turkish J. Math, 36(3), pp.345~358 (2012)
  5. M. Imbesi, "On the graphic realization of certain monomial sequences", J. Alg. Appl, 14(5), pp.1550073~ (2015)
  6. Z. Tang, "On certain monomial sequences", J. Algebra, 282(2), pp.831~842 (2004)
  7. R. H. Villarreal, "Monomial Algebras", Pure and Applied Mathematics, 238 (2001), Dekker

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