Abstract

Let f: A → B and g: A → C be two ring homomorphisms and let K and K′ be two ideals of B and C, respectively, such that f⁻¹(K) = g⁻¹(K′). We investigate unipotent, symmetric and reversible properties of the bi-amalgamation ring A ⋈^f,g (K, K′) of A with (B, C) along (K, K′) with respect to (f, g).

中文翻译：

---

双汞齐环的对称性和可逆性

摘要

设f : A → B和g : A → C为两个环同态，K和K′分别为B和C的两个理想，使得f ⁻¹ ( K ) = g ⁻¹ ( K′ )。我们研究了A的双汞齐环A ⋈ ^f,g ( K, K′ )与 ( B, C ) 沿 ( K, K′ ) 相对于 ( f, g ) 的单能、对称和可逆性质。