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math.AC2024
Cardinality of groups and rings via the idempotency of infinite cardinals
Abolfazl Tarizadeh
An important classical result in ZFC asserts that every infinite cardinal number is idempotent. Using this fact, we obtain several algebraic results in this article. The first resu…
math.AC2024
Connected components of qcqs schemes and projective spaces
Abolfazl Tarizadeh
In this article, we first prove a general result in topology which states that every quasi-component of a quasi-spectral space is connected. \\ As an application, the structure of…