The commutative diagram satisfied by the morphisms in the proof of Theorem 3.1.

The commutative diagram satisfied by the morphisms in the proof of Theorem 3.1.

<p>The commutative diagram satisfied by the morphisms in the proof of Theorem 3.1.</p>

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Bibliographic Details
Main Author: Jian-Gang Tang (21594349) (author)
Other Authors: Yimamujiang Aishan (21594352) (author), Ji-Yu Liu (10911382) (author), Jia-Yin Peng (21594355) (author)
Published: 2025
Subjects:
Biotechnology
Developmental Biology
Cancer
Science Policy
Space Science
Biological Sciences not elsewhere classified
Mathematical Sciences not elsewhere classified
enhance computational efficiency
lawvere &# 8217
various type systems
algebraic theory proposed
control equations associated
group type theory
group type represents
group type ,"
concrete algebraic structure
functorial semantic models
algebraic structure
algebraic type
specific group
group structures
group objects
functorial semantics
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type referred
algebraic properties
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providing support
program analysis
practical applications
paper explores
optimize algorithms
mathematical conversions
fundamental properties
formal verification
finite products
equation within
data structures
commutative diagram
also envisioned
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