Non-Injectivity of the Lattice map for Non-Mixed Anderson T-Motives, and a Result Towards its Surjectivity Full article
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Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Output data | Year: 2025, Article number : 2650028, Pages count : DOI: 10.1142/s0219498826500283 | ||||||||
| Tags | Anderson t-motives, lattice map | ||||||||
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Abstract:
Let M be an uniformizable Anderson t-motive and L(M) its lattice. First, we prove by an explicit construction that for the non-mixed M, the lattice map M→ L(M) is not injective. Second, we show that ∃ lattices L0 such that L0= L(M) for pure M, but ∃ a non-pure M such that L0 = L(M). This is a result towards surjectivity of the lattice map. The t-motives used in the proofs are non-pure t-motives of dimension 2, rank 3. Finally, we start calculations in order to answer a question whether all non-pure t-motives of dimension 2, rank 3 are uniformizable, or not.
Cite:
Grishkov A.
, Logachev D.
Non-Injectivity of the Lattice map for Non-Mixed Anderson T-Motives, and a Result Towards its Surjectivity
Journal of Algebra and its Applications. 2025. 2650028 . DOI: 10.1142/s0219498826500283 WOS Scopus РИНЦ OpenAlex
Non-Injectivity of the Lattice map for Non-Mixed Anderson T-Motives, and a Result Towards its Surjectivity
Journal of Algebra and its Applications. 2025. 2650028 . DOI: 10.1142/s0219498826500283 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jul 10, 2024 |
| Accepted: | Aug 27, 2024 |
| Published online: | Nov 27, 2024 |
Identifiers:
| Web of science: | WOS:001369984800001 |
| Scopus: | 2-s2.0-85210961618 |
| Elibrary: | 74148190 |
| OpenAlex: | W4402325088 |
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