零对称BZ—代数
On Zero symmetric BZ algebras
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摘要: 将原子及其分支的概念引信BZ-代数,提出零对称BZ-代数,得到若干重要特征。研究零对称BZ-代数X关于其理想Nz(X)={x∈X│0-x≤x}所作为的商代数X/Nz(X0的结构,证得X/Nz(X)≌{y│y=(0-x)-x,x∈X}。Abstract: The notions of an atom and its branch in a BZ algebra are introduced in this paper. Zero symmetric BZ algebras and their characterizations are also investigated in detail. Furthermore, an isomorphic theorem on the quotient algebra X/N z(X) is given.