Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n
A generalized hypersubstitution of type τ = (n) is a function σ which maps the n-ary operation symbol f to the term σ(f) which does not necessarily preserve the arity. Let HypG(τ ) be the set of all these generalized hypersubstitutions of type (τ ). The set HypG(τ ) with the binary operation “◦G”...
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เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่
2020
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| Online Access: | http://cmuir.cmu.ac.th/jspui/handle/6653943832/69579 |
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th-cmuir.6653943832-695792020-08-15T03:03:23Z Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n การหาลักษณะเฉพาะของสมาชิกเอ็มโพเท็นท์ใน HypG(n) สำหรับบางจำนวนธรรมชาติn Apatsara Sareeto Assoc. Prof. Dr. Sorasak Leeratanavalee A generalized hypersubstitution of type τ = (n) is a function σ which maps the n-ary operation symbol f to the term σ(f) which does not necessarily preserve the arity. Let HypG(τ ) be the set of all these generalized hypersubstitutions of type (τ ). The set HypG(τ ) with the binary operation “◦G” and the identity generalized hypersubstitution forms a monoid. In studying semigroup theory, the index and the period of an element a of a finite semigroup are the smallest values of m ≥ 1 and r ≥ 1 such that am+r = am. An element with the index m and the period 1 is called an m-potent element. In this thesis, we characterize m-potent elements in this monoid HypG(n) for some natural number n. 2020-08-15T03:03:23Z 2020-08-15T03:03:23Z 2020-05 Thesis http://cmuir.cmu.ac.th/jspui/handle/6653943832/69579 en เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| continent |
Asia |
| country |
Thailand Thailand |
| content_provider |
Chiang Mai University Library |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
A generalized hypersubstitution of type τ = (n) is a function σ which maps the
n-ary operation symbol f to the term σ(f) which does not necessarily preserve the arity.
Let HypG(τ ) be the set of all these generalized hypersubstitutions of type (τ ). The set
HypG(τ ) with the binary operation “◦G” and the identity generalized hypersubstitution
forms a monoid. In studying semigroup theory, the index and the period of an element a
of a finite semigroup are the smallest values of m ≥ 1 and r ≥ 1 such that am+r = am. An
element with the index m and the period 1 is called an m-potent element. In this thesis,
we characterize m-potent elements in this monoid HypG(n) for some natural number n. |
| author2 |
Assoc. Prof. Dr. Sorasak Leeratanavalee |
| author_facet |
Assoc. Prof. Dr. Sorasak Leeratanavalee Apatsara Sareeto |
| format |
Theses and Dissertations |
| author |
Apatsara Sareeto |
| spellingShingle |
Apatsara Sareeto Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n |
| author_sort |
Apatsara Sareeto |
| title |
Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n |
| title_short |
Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n |
| title_full |
Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n |
| title_fullStr |
Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n |
| title_full_unstemmed |
Characterization of m-potent Elements in HypG(n) for Some Natural Numbers n |
| title_sort |
characterization of m-potent elements in hypg(n) for some natural numbers n |
| publisher |
เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ |
| publishDate |
2020 |
| url |
http://cmuir.cmu.ac.th/jspui/handle/6653943832/69579 |
| _version_ |
1681752746536992768 |