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Generalized Aukasiewicz rings

delete2017-04-17
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PRE
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A
Albert Kadji *
C
Célestin Lélé
J
Jean B. Nganou
DOI:10.1007/s00500-017-2575-xdelete
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摘要

摘要

En 中文
This paper extends the study of commutative rings whose ideals form an MV-algebra as carried out by Belluce and Di Nola (Math Log Q 55(5):468-486, 2009) to non-commutative rings. We study and characterize all rings whose ideals form a pseudo-MV-algebra, which shall be called here generalized Lukasiewicz rings. We obtain that up to isomorphism, these are exactly the direct sums of unitary special primary rings.
Keyword:
MV-algebra
Lukasiewicz ring
QF-ring
Pseudo-MV-algebra
Semi-ring
Special primary ring
Dubrovin valuation ring
Brown-McCoy radical
Jacobson radical
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期刊

Soft Computing 封面图
Soft Computing
IF:
2.5
论文数:
1.0W
被引数:
2.1W

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