Semicommutativity of Amalgamated Rings
Received:January 13, 2018  Revised:April 27, 2018
Key Word: semicommutative ring   nil-semicommutative ring   weakly semicommutative ring   amalgamated construction  
Fund ProjectL:Supported by Ahi Evran University Scientific Research Projects Coordination Unit (Grant No.FEF. A3. 16.008).
Author NameAffiliation
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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