AKBAR, MAULANA (2016) *KARAKTERISTIK DARI B1 NEAR-RING DAN S1 NEAR-RING.* Undergraduate thesis, UNDIP.

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## Abstract

Let be a non empty set with two binary operations additive and multiplicative is called near-ring if over additive operation is group (not necessarily abelian), over multiplicative operation is semigroup, and over both binary operation satisfies right(left) distributive law. Near-ring is called S1 near-ring if for every , there exist , . Near-ring is called strong S1 near-ring if for every , , for every . Near-ring N is called Boolean near-ring if for every , . Near-ring N is called B1 nearring if for every , there exist , . Near-ring N is called strong B1 near-ring if for every , . In this undergraduated thesis we discussed some of their properties, obtain a characterisation and also a structure theorem beetwen strong S1 near-ring and B1 near-ring, Boolean near-ring and B1 near-ring, B1 near-ring and strong B1 near-ring. Keywords: S1 near-ring, strong S1 near-ring, Boolean near-ring, B1 near-ring, strong B1 near-ring

Item Type: | Thesis (Undergraduate) |
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Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science and Mathematics > Department of Mathematics |

ID Code: | 84276 |

Deposited By: | Admin Departemen Matematika |

Deposited On: | 14 Jun 2022 08:46 |

Last Modified: | 14 Jun 2022 08:46 |

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