Browse > Article
http://dx.doi.org/10.5831/HMJ.2019.41.3.505

SPECTRUM CONVOLUTION OF FULL TRANSFORMATION SEMIGROUP  

Adeniji, Adenike Olusola (Department of Mathematics, Faculty of Science, University of Abuja)
Publication Information
Honam Mathematical Journal / v.41, no.3, 2019 , pp. 505-514 More about this Journal
Abstract
In this paper, some results are obtained from studying convolution on the spectrum of full transformation semigroup and some of its subsemigroups using Cayley's table. The shift of ${\alpha}$ determines its eigenvalues and one-dimensional linear convolution is complex in Symmetric group.
Keywords
Full transformation semigroup; Identity difference transformation semigroup; Matrix; Spectrum; Convolution and Green's relations;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J. M. Howie, P. M. Higgins and N. RuSkuc, On relative ranks of full transformation semigroup, Comm. Algebra, 26 (1998), 733 - 748.   DOI
2 A. Laradji, A. and A. Umar, Combinatorial results for semigroups of order-preserving full transformations, Semigroup Forum, 72 (2006), 51 - 62.   DOI
3 Y. L. Michael and W. Liancheng, A criterion for stability of matrices, Journal of Mathematical Analysis and Applications , 225(1) (1998), 249 - 264.   DOI
4 A. Umar, On the semigroups of order - decreasing finite full transformations, Proc. Roy. Soc. Edinburgh Sect., A(120) (1992), 129-142.   DOI
5 A. Umar, Combinatorial results for orientation - preserving partial transformations, Journal of Integer Sequences, 2(2) (2011), 1-16.
6 A. O. Adeniji Identity difference transformation semigroups, Ph. D. Thesis, University of Ilorin, Ilorin, (2013).
7 O. Ganyushkin and V. Mazorchuk, Classical Finite transformation semigroups: An introduction, Springer, (2009).
8 J. Green, On the structure of semigroups, Ann. Math., 54 (1951), 163 - 172.   DOI
9 J. M. Howie, The semigroup generated by the idempotents of a full transformation semigroup, J. London Math. Soc., 41 (1966), 707 - 716.   DOI
10 J. M. Howie, Some subsemigroups of infinite full transformation semigroup, Proc. Roy. Soc. Edinburgh, A81 (1981), 169 - 184.   DOI
11 J. M. Howie and R. B. McFadden, Idempotent rank in finite full transformation semigroups, Proc. Roy. Soc. Edinburgh Sect., A 114 (1990), 161 - 167.   DOI