Değişmeli yarıgruplarda ideal teori


Thesis Type: Postgraduate

Institution Of The Thesis: Marmara University, Institute for Graduate Studies in Pure and Applied Sciences, Department of Mathematics, Turkey

Approval Date: 2015

Thesis Language: Turkish

Student: HATİCE ÇAY

Supervisor: Ünsal Tekir

Abstract:

In this study our main purpose is giving the properties of ideals in commutative semigroups. For this, we give definitions and some basic theorems of commutative semigroups. We survey the definition of kernel of semigroup homomorphism and we use this in some proofs. Also we give prime and primary ideals and primary decomposition in commutative semigroups as in [23]. Furthermore we study about quasi primary ideals in commutative semigroups. Finally we give localization of commutative semigroups and Noetherian commutative semigroups