대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제52권4호
  • /
  • Pages.1201-1211
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  • 2015
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  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SOME MONOMIAL SEQUENCES ARISING FROM GRAPHS

  • IMBESI, MAURIZIO (DEPARTMENT OF CIVIL ENGINEERING AND APPLIED MATHEMATICS UNIVERSITY OF MESSINA) ;
  • LA BARBIERA, MONICA (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE UNIVERSITY OF MESSINA) ;
  • TANG, ZHONGMING (DEPARTMENT OF MATHEMATICS SUZHOU UNIVERSITY)
  • 투고 : 2014.07.30
  • 발행 : 2015.07.31
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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.

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참고문헌

  1. J. Herzog, G. Restuccia, and Z. Tang, s-sequences and symmetric algebras, Manuscripta Math. 104 (2001), no. 4, 479-501. https://doi.org/10.1007/s002290170022
  2. C. Huneke, The theory of d-sequences and powers of ideals, Adv. in Math. 46 (1982), no. 3, 249-279. https://doi.org/10.1016/0001-8708(82)90045-7
  3. M. Imbesi and M. La Barbiera, Edge ideals and connection problems, Commun. Appl. Ind. Math. 1 (2010), no. 2, 127-134.
  4. M. Imbesi and M. La Barbiera, Invariants of symmetric algebras associated to graphs, Turkish J. Math. 36 (2012), no. 3, 345-358.
  5. M. Imbesi, M. La Barbiera, and Z. Tang, On the graphic realization of certain monomial sequences, J. Alg. Appl. 14 (2015), no. 5, 1550073, 9 pages.
  6. Z. Tang, On certain monomial sequences, J. Algebra 282 (2004), no. 2, 831-842. https://doi.org/10.1016/j.jalgebra.2004.08.027
  7. R. H. Villarreal, Monomial Algebras, Pure and Applied Mathematics, 238, Dekker, 2001.