KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM PADA p-SEMIGRUP REGULER
Semigroup is a structure with a associative binary operation. Since semigroup may not have an identity element and invers element, there is a regularity characteristic of element in semigroup. If all of the element of semigroup have regularity, then this semigroup is called regular semigroup. �-re...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2011
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| _version_ | 1826043915333009408 |
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| author | , FITRIANI, S.SI , Prof. Dr. Sri Wahyuni , M.S, |
| author_facet | , FITRIANI, S.SI , Prof. Dr. Sri Wahyuni , M.S, |
| author_sort | , FITRIANI, S.SI |
| collection | UGM |
| description | Semigroup is a structure with a associative binary operation. Since
semigroup may not have an identity element and invers element, there is a
regularity characteristic of element in semigroup. If all of the element of
semigroup have regularity, then this semigroup is called regular semigroup.
�-regular semigroup is one of the class regular semigroups. It is a pair of
regular semigroup with the set of idempotent elements which satifies some
axioms. If the first axiom in the definition of �-regular semigroup which
explained about commutative law for idempotent elements leaving out, then a new
class of regular semigroup is defined, called p-regular semigroup. In this case, the
set of all �-regular semigroups is subset of the set of all p-regular semigroup.
After observing the characteristic of p-regular semigroup, define a
maximum idempotent-separating congruence in p-regular semigroup. This
congruence is the same congruence in the pair of orthodox and band. Finally
conclusion, p-regular semigroup is a generalized regular semigroup (orthodox)
which has the maximum idempotent-separating congruences. |
| first_indexed | 2024-03-13T22:11:18Z |
| format | Thesis |
| id | oai:generic.eprints.org:90705 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T22:11:18Z |
| publishDate | 2011 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:907052014-08-20T02:51:23Z https://repository.ugm.ac.id/90705/ KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM PADA p-SEMIGRUP REGULER , FITRIANI, S.SI , Prof. Dr. Sri Wahyuni , M.S, ETD Semigroup is a structure with a associative binary operation. Since semigroup may not have an identity element and invers element, there is a regularity characteristic of element in semigroup. If all of the element of semigroup have regularity, then this semigroup is called regular semigroup. �-regular semigroup is one of the class regular semigroups. It is a pair of regular semigroup with the set of idempotent elements which satifies some axioms. If the first axiom in the definition of �-regular semigroup which explained about commutative law for idempotent elements leaving out, then a new class of regular semigroup is defined, called p-regular semigroup. In this case, the set of all �-regular semigroups is subset of the set of all p-regular semigroup. After observing the characteristic of p-regular semigroup, define a maximum idempotent-separating congruence in p-regular semigroup. This congruence is the same congruence in the pair of orthodox and band. Finally conclusion, p-regular semigroup is a generalized regular semigroup (orthodox) which has the maximum idempotent-separating congruences. [Yogyakarta] : Universitas Gadjah Mada 2011 Thesis NonPeerReviewed , FITRIANI, S.SI and , Prof. Dr. Sri Wahyuni , M.S, (2011) KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM PADA p-SEMIGRUP REGULER. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=53517 |
| spellingShingle | ETD , FITRIANI, S.SI , Prof. Dr. Sri Wahyuni , M.S, KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM PADA p-SEMIGRUP REGULER |
| title | KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM
PADA p-SEMIGRUP REGULER |
| title_full | KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM
PADA p-SEMIGRUP REGULER |
| title_fullStr | KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM
PADA p-SEMIGRUP REGULER |
| title_full_unstemmed | KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM
PADA p-SEMIGRUP REGULER |
| title_short | KONGRUENSI IDEMPOTENT-SEPARATING MAKSIMUM
PADA p-SEMIGRUP REGULER |
| title_sort | kongruensi idempotent separating maksimum pada p semigrup reguler |
| topic | ETD |
| work_keys_str_mv | AT fitrianissi kongruensiidempotentseparatingmaksimumpadapsemigrupreguler AT profdrsriwahyunims kongruensiidempotentseparatingmaksimumpadapsemigrupreguler |