【摘要】 讨论了反同态下两个环的代数结构之间的关系，证明了环 R 到环 ■ 的反同态满射性质：对零元、负元、交换环、单位元的保持性，对子环、理想的保持性和反保持性；若对环 ■附加一个条件，对整环、主理想、除环、域的保持性；对于加法，a 的像的阶是 a 的阶的因子。更多还原

【Abstract】 In this paper, the properties of anti-homomorphic surjection from ring R to ring ■ are discussed: the retentions of zero element, negative element, abelian ring and unit element; the retentions and anti-retentions of subring and ideal; the retentions of integral domain, principal ideal, division ring and field (attached a condition to ring ■ ). In addition, the order of the image of a is a factor of the order of a (for addition).更多还原