On the Unity in Γ-rings
Received:September 03, 1989  
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Chen Weixin 浙江大学数学系 
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Abstract:
      The unity for multiplication in Γ-rings is more complicated and changeful than that in associative rings. First it is classified to be unity or a-unity (strong unity). Secondly it possesses different properties with that in associative rings. These properties are expounded in this paper. The relation between the unities in Γ-ring M and in its matrix ring Mm,n is studied. This relation has feature of Γ-rings too. Lastly the characteristic chM of Γ-ring M is introduc-ed, Some properties of chM are proved for M with unities.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.03.001
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