Smarandache Near Rings and Their Generalizations
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2008
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Bu tezde Smarandache Yakın Halkaları kavramı üzerinde çalışılmıştır. İlk önce halkalarla ilgili bazı temel tanımlar verildi. Daha sonra Smarandache halkasının tanımını verip, Smarandache halkalarla ilgili özellikleri inceleyeceğiz. Son olarak Smarandache yakın halkalarını ve onların genelleştirilmeleri ile ilgili olarak birçok yeni sınıflar verilecektir.Anahtar kelimeler : Halka, Yarı-yakın halka, Smarandache yarı-yakın halka, Smarandache yakın halka, Anti-Smarandache yarı-yakın halka, Smarandache yarı yakın halka homomorfizmi.
In this thesis, we have studied concept of the Smarandache near-ring. First, it has given some basic definitions related to rings.Later, we have given the definition of Smarandache ring and dissussed properties of this ring.Finally, a few new classes, which are related to Smarandache near rings and generalizations of them, have been introduced.Key words: Near ring, Semi-near ring, Smarandache semi-near ring, Smarandache near ring, Anti-Smarandache semi-near ring, Smarandache semi-near ring homomorphism.
In this thesis, we have studied concept of the Smarandache near-ring. First, it has given some basic definitions related to rings.Later, we have given the definition of Smarandache ring and dissussed properties of this ring.Finally, a few new classes, which are related to Smarandache near rings and generalizations of them, have been introduced.Key words: Near ring, Semi-near ring, Smarandache semi-near ring, Smarandache near ring, Anti-Smarandache semi-near ring, Smarandache semi-near ring homomorphism.
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Matematik, Cisimler, Halkalar, Mathematics, Fields, Rings
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34