International Journal of Physical Sciences | |
Fuzzy ideals in partially ordered pseudoeffect algebras | |
Feng Feng1  | |
关键词: Pseudoeffect algebra; fuzzy set; fuzzy ideal; fuzzy logic.; | |
DOI : 10.5897/IJPS11.960 | |
学科分类:物理(综合) | |
来源: Academic Journals | |
【 摘 要 】
Pseudoeffect algebras are non-commutative generalizations of effect algebras, which can serve as models of both quantum structures and non-commutative logics. The main contribution of this study is twofold. Firstly, we initiate an order-theoretic extension of pseudoeffect algebras, called partially ordered pseudoeffect algebras (abbreviated po-PEAs). Secondly, we investigate the fuzzy ideal theory of po-PEAs. In particular, we show that a fuzzy ideal in a po-PEA is finitely generated if and only if it is finitely valued, and every fuzzy ideal in a Noetherian po-PEA is finitely generated.
【 授权许可】
CC BY
【 预 览 】
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