Francisco Franco Munoz

most citedOn minimal extensions of rings and applications

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math.AC2018

The existence of non-thin subalgebras of $K [x] / x^{n}$ and related numerical monoids

Francisco Franco Munoz

We find the minimal dimension for a truncated polynomial algebra over an arbitrary field for which there exists a "non-thin" subalgebra. Moreover, we discuss examples of subalgebra…

math.AC2017★ 1 cited

On minimal extensions of rings and applications

Francisco Franco Munoz

We derive basic properties of minimal extensions of local rings and their restrictions to subrings. Some applications are included to subrings of truncated polynomial rings.

math.AC2017

Subrings of Finite Commutative Rings

Francisco Franco Munoz

We establish basic results on subrings of finite commutative rings and closely related rings. Among other applications we calculate the number of maximal subrings of a finite commu…

The existence of non-thin subalgebras of K[x]/xn and related numerical monoids

On minimal extensions of rings and applications

Subrings of Finite Commutative Rings

The existence of non-thin subalgebras of $K [x] / x^{n}$ and related numerical monoids