# A new proof of the Pythagorean Theorem inspired by novel characterizations of unital algebras

@inproceedings{Greensite2022ANP, title={A new proof of the Pythagorean Theorem inspired by novel characterizations of unital algebras}, author={Fred Greensite}, year={2022} }

. A new proof of the Pythagorean Theorem is presented, utilizing George Birkhoﬀ’s version of the postulates of Euclidean geometry as incorpo- rating R . Generalization of the mechanism of proof forwards novel characterizations of real ﬁnite-dimensional unital associative algebras which, along with the accompanying functor, are also presented and applied.

## 3 Citations

### Novel characterizations of real finite-dimensional unital algebras

- Mathematics
- 2022

. Alternative characterizations of real ﬁnite-dimensional unital algebras are introduced based on a functor arising from the ways the inverse operation on the units can be uncurled.

### Origin of the Proto-norm functor from an Inverse Problems regularization method

- Mathematics
- 2022

. Characterization of real ﬁnite-dimensional unital associative algebras with the Proto-norm functor is shown to have its origin in the interpre- tation of a particular Inverse Problems…

### Cosmology from a non-physical standpoint: an algebraic analysis

- Physics, Mathematics
- 2022

. We present a non-physical interpretation of the Cosmological Constant based on a particular algebraic analysis. This also introduces some novel algebraic structures, such as “Unital Norms” and…

## References

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### Novel characterizations of real finite-dimensional unital algebras

- Mathematics
- 2022

. Alternative characterizations of real ﬁnite-dimensional unital algebras are introduced based on a functor arising from the ways the inverse operation on the units can be uncurled.

### Origin of the Proto-norm functor from an Inverse Problems regularization method

- Mathematics
- 2022

. Characterization of real ﬁnite-dimensional unital associative algebras with the Proto-norm functor is shown to have its origin in the interpre- tation of a particular Inverse Problems…

### Cosmology from a non-physical standpoint: an algebraic analysis

- Physics, Mathematics
- 2022

. We present a non-physical interpretation of the Cosmological Constant based on a particular algebraic analysis. This also introduces some novel algebraic structures, such as “Unital Norms” and…

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