τ-Atomicity and Quotients of Size Four

Richard Erwin Hasenauer ； Bethany Kubik

《Tamkang Journal of Mathematics》 52卷2期 (2021/06) Pp. 221-228

https://doi.org/10.5556/j.tkjm.52.2021.3241

摘要

Given a ring R, an ideal I of R, and an element α ∈ I, we say α =λb_1 ．．．b_k is a τ_I -factorization of α if λ is any unit and b_1≡．．．≡b_k (mod I). In this paper, we investigate the τ_I -atomicity of PIDs with ideals where R/I has size four.

關鍵字

factorization ； commutative rings