| Semicommutativity of Amalgamated Rings |
| Received:January 13, 2018 Revised:April 27, 2018 |
| Key Words:
semicommutative ring nil-semicommutative ring weakly semicommutative ring amalgamated construction
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| Fund Project:Supported by Ahi Evran University Scientific Research Projects Coordination Unit (Grant No.FEF. A3. 16.008). |
| Author Name | Affiliation | | Handan KOSE | Department of Mathematics, Ahi Evran University, Kirsehir, Turkey | | Yousum KURTULMAZ | Department of Mathematics, Bilkent University, Ankara, Turkey | | Burcu UNGOR | Department of Mathematics, Ankara University, Ankara, Turkey | | Abdullah HARMANCI | Department of Mathematics, Hacettepe University, Ankara, Turkey |
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| Abstract: |
| In this paper, we study some cases when an amalgamated construction $A\bowtie^f I$ of a ring $A$ along an ideal $I$ of a ring $B$ with respect to a ring homomorphism $f$ from $A$ to $B$, is prime, semiprime, semicommutative, nil-semicommutative and weakly semicommutative. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2018.04.004 |
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