The equivalence of uniquely divisible semigroups and uniquely representable semigroups on the two-cell

Springer Science and Business Media LLC - Tập 4 - Trang 69-72 - 1972
E. E. DeVun1
1Department of Mathematics, Wichita State University, Wichita

Tóm tắt

This talk brings together the results of several papers in order to show that the uniquely divisible semigroups on the two-cell are exactly the uniquely representable semigroups on the two-cell.

Tài liệu tham khảo

Belinfante, J. G., B. Kolman, and H. A. Smith, “An Introduction to Lie Groups and Lie Algebras with Applications”,SIAM Review, 8 (Jan., 1966) No. 1, 11–46. Borrego, J. T., H. Cohen, and E. E. DeVun, “Uniquely Representable Semigroups on the Two-Cell”,Pac. J. of Math., to appear. Borrego, J. T., H. Cohen, and E. E. DeVun, “Uniquely Representable Semigroups II”,Pac. J. of Math., to appear. Brown, D. R. and M. Friedberg, “Linear Representations of Certain Compact Semigroups,” to appear. Hildebrant, J. S., “On uniquely divisible semigroups on the two-cell”,Pac. J. Math., 23 (1967), 91–95. Hofmann, K. H. and P. S. Mostert, Elements of Compact Semigroups, C. E. Merrill Books, Columbus, Ohio (1966).