$\tau$-Atomicity and Quotients of Size Four
| Autor: | Richard Erwin Hasenauer, Bethany Kubik |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Tamkang Journal of Mathematics. 52 |
| ISSN: | 2073-9826 0049-2930 |
| DOI: | 10.5556/j.tkjm.52.2021.3241 |
| Popis: | Given a ring $R$, an ideal $I$ of $R$, and an element $a\in I$, we say $a=\lambda b_1\cdots b_k$ is a $\tau_I$-factorization of $a$ if $\lambda$ is any unit and $b_1\equiv\cdots\equiv b_k\pmod{I}$. In this paper, we investigate the $\tau_I$-atomicity of PIDs with ideals where $R/I$ has size four. |
| Databáze: | OpenAIRE |
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