arXiv Open Access 2025

Frobenius reciprocity, modular connections, lattice isomorphism theorem and abstract principal ideals

Amartya Goswami Zurab Janelidze Graham Manuell

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Abstrak

The purpose of this short note is to fill a gap in the literature: Frobenius reciprocity in the theory of doctrines is closely related to modular connections in projective homological algebra and the notion of a principal element in abstract commutative ideal theory. These concepts are based on particular properties of Galois connections which play an important role also in the abstract study of group-like structures from the perspective of categorical/universal algebra; such role stems from a classical and basic result in group theory: the lattice isomorphism theorem.

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math.RA math.CT

Penulis (3)

Amartya Goswami

Zurab Janelidze

Graham Manuell

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APA MLA BibTeX

Goswami, A., Janelidze, Z., Manuell, G. (2025). Frobenius reciprocity, modular connections, lattice isomorphism theorem and abstract principal ideals. https://arxiv.org/abs/2502.06010

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓