Representation of semigroups by products in a category
✍ Scribed by Věra Trnková
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 693 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Arbib in a paper entitled 'Categories of (M, R)-Systems' represents both simple (M, R)systems and those with varying genome as subcategories of the category of automata. An alternative characterisation of general (M, R)-systems as automata is proposed and two theorems on (M,R)-automata are proved. T
## It is shown that a representation by tensor products of degree n2 exists for every pair of commuting linear maps on an n-dimensional vector space, but in general, not a representation of degree less than n2.
There are however many interesting E-semiadequate semigroups that are not inverse, we consider various such examples arising from Schutzenberger products.