The Additive Structure of Algebraic Valuations of Polynomial Semirings

Timothy Chen, Guanjie (Tony) Lu, and Alan Yao (Mentored by Dr. Felix Gotti)

Paper

Our poster centers around two key factorization properties — atomicity and the ascending chain condition on principal ideals (ACCP). It is part of our broader study of the factorization and divisibility landscape of the additive structure of simple semiring extensions.

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Poster



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Acknowledgments

We humbly appreciate our mentor Dr. Felix Gotti for his dedicated guidance, encouragement, and wisdom throughout our research and are incredibly grateful to the MIT PRIMES-USA program and its organizers for facilitating this rewarding collaboration.

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