Bibliographic Details
| Title: |
Dense 2-generator subsemigroups of matrices |
| Authors: |
Javaheri, Mohammad1 mjavaheri@siena.edu |
| Source: |
Journal of Mathematical Analysis & Applications. Mar2012, Vol. 387 Issue 1, p103-113. 11p. |
| Subjects: |
Semigroups (Algebra), Matrices (Mathematics), Group theory, Mathematical transformations, Functional analysis, Mathematical analysis |
| Abstract: |
Abstract: We construct explicit examples of 2-generator dense subsemigroups of and . In the complex case, we prove the existence of uncountably many 2-generator dense subsemigroups of . We also show that the semigroup of real linear fractional transformations on a proper subinterval of the real line does not admit any 2-generator dense subsemigroups, and then we construct a 3-parameter family of examples of 3-generator dense subsemigroups. [Copyright &y& Elsevier] |
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| Database: |
Engineering Source |
