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題名 | Nearrings with Baer-type Annihilator Conditions=具貝爾型消去子條件的近環 |
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作 者 | 黃豐國; | 書刊名 | 臺東師院學報 |
卷期 | 14(上) 民92.06 |
頁次 | 頁421-430 |
分類號 | 313.28 |
關鍵詞 | 近環; 消去子; 貝爾環; 里卡環; Nearring; Annihilator; Idempotent; |
語文 | 英文(English) |
英文摘要 | In this paper, we consider various generalizations of Baer rings and right Rickart rings to the class of nearrings. Certain annihilator conditions on distributive idempotents are defined for nearrings, on which they coincide in rings with unity as Baer rings or right (left) Rickart rings. Conditions are provided to ensure nearrings satisfying certain Rickart-type annihilator conditions will also fulfill certain Baer-type annihilator conditions. 2000 Mathematics Subject Classification: Primary 16Y30; Secondary 16Y99. |
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