Değişmeli cebirler ve kocebirler için Hopkins-Levitzki teoremi
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Date
2013-02
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Bahçeşehir Üniversitesi Fen Bilimleri Enstitüsü
Abstract
Bu tezde, literatürde cebirler için ispat edilmiş Hopkins-Levitzki Teoremi (1939)
kocebirler için ispat edilmiştir. Tezde kocebir yapısı temelden inşa edilmiş ve çok
sayıda örneğe de yer verilmiştir.
In this thesis, a version of Hopkins-Levitzki Theorem (1939) is proved for coalgebras, which was originally proved for algebras. Coalgebras are constructed from the basic principles and many examples are given in full detail.
In this thesis, a version of Hopkins-Levitzki Theorem (1939) is proved for coalgebras, which was originally proved for algebras. Coalgebras are constructed from the basic principles and many examples are given in full detail.
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Keywords
Commutative algebra, Hopkins-levitski theorem, Artinian algebra, Noetherian algebra, Coalgebra, Değişmeli cebir, Hopkins-levitzki teoremi, Artinyan cebir, Noetheryan cebir, Kocebir