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Monoid of linear hypersubstitutions for algebraic systemsof type ((n), (2)) and its regularity |
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| รหัสดีโอไอ | |
| Creator | 1. Thodsaporn Kumduang 2. Sorasak Leeratanavalee |
| Title | Monoid of linear hypersubstitutions for algebraic systemsof type ((n), (2)) and its regularity |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2562 |
| Journal Title | Songklanakarin Journal of Science and Technology |
| Journal Vol. | 41 |
| Journal No. | 6 |
| Page no. | 1248-1259 |
| Keyword | algebraic systems, linear terms, linear formulas, linear hypersubstitutions |
| URL Website | http://rdo.psu.ac.th/sjstweb/index.php |
| ISSN | 0125-3395 |
| Abstract | An algebraic system is a structure which consists of a nonempty set together with a sequence of operations and a sequence of relations on this set. Properties of this structure are expressed in terms and formulas. In this paper, we show that the setof all linear hypersubstitutions for algebraic systems of the type ((n), (2)) with a binary operation on this set and the identityelement forms a monoid. Finally, we characterize idempotent and regular elements on the monoid. |
