DOI QR코드

DOI QR Code

Classifications of D-classes in the semigroup Mn(F) of all nXn Boolean matrices over F=(0,1)

  • Kim Chang-Bum (Department of Mathematics, Kookmin University) ;
  • Han Jae-ll (School of Computer Science, Kookmin University)
  • Published : 2006.06.01

Abstract

We classify the 3-classes In the semigroup M$_5$(F) of all 5$\times$5 Boolean matrices over F=(0,1).

Keywords

References

  1. Kim K, Butler, On (0,1)-matrix semigroups, Semigroup Forum 3(1971), 74-79
  2. A. H. Clifford and G. B. Preston, The Algebraic theory of Semigroups, Vol. 1, Math. Suveys, New York,1964
  3. C. B. Kim, A study of the semigroup $B_{n}$ of the binary relations on a set X with n elements, Ph.D. thesis, Yonsei University, Korea, 1985
  4. Jin Bai Kim, A certain matrix semigroup, Mathematical Japoni- ca 22-5(1978), 519-522 : MR 58-960
  5. Jin Bai Kim, Combinatorial properties of a fuzzy matrix sernigroup, Proceedings of the 10th Southeastern Conference of Combinatorics, Graph theory and Computing, Utilitas Math. Publishing Inc., Winnipeg, Manitoba, Canada (1979), 569-676. MR 81i-05012
  6. jin Bai Kim, Inverses of Boolean matrices, Bulletin of the Institute of Math., Academia Sinica 12-2(1984), 125-128
  7. Jin Bai Kim, Tables of D-classes in the semigroup $B_{n}$ of the binary relations on a set X with n elements, Bull. Korean Math. Soc. Vol. 20, No.1(1985), 9-13
  8. Jin Bai Kim, and C. B. Kim, On fuzzy matrices. (Fuzzy Linear Algebra), Proc. of fuzzy logic programming OUCC 89(1989), 182-192