Euclidean modules, submodules of their direct sums and strong reduced echelon form 8H0KHK7AMN
| URI | m2://res/8H0KHK7AMN |
|---|---|
| Kind | preprint |
| Creators | V. V. Bavula |
| Date | 2026-09-29 |
| MSC | 16-XX, 20-XX, 22-XX |
| Subjects | arxiv math.RA, arxiv math.RT |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-29 |
| Ids | arXiv 2609.37893, zbl_id 903190076 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| 10VTFMNWCW | definition | definition 1.2 | arxiv |
| 1FVM74MWK6 | definition | definition 3.5 | arxiv |
| 1RPCKBJBSR | statement | corollary 3.2 | arxiv |
| 1VQCSX5T84 | statement | lemma 2.5 | arxiv |
| 25X0MSYEAV | statement | lemma 4.1 | arxiv |
| 2J0TV4746Q | statement | lemma 3.8 | arxiv |
| 2RP4YHXWJ9 | statement | proposition 4.10 | arxiv |
| 3AAMVWWA58 | statement | proposition 4.21 | arxiv |
| 3J4DXZ1ZV1 | definition | definition 2.3 | arxiv |
| 3VPTH9FRR5 | statement | lemma 2.6 | arxiv |
| 4FAEYV8E3B | statement | lemma 3.6 | arxiv |
| 4SDFBYP1MB | statement | corollary 4.7 | arxiv |
| \bf The equivalence class of strong reduced echelon forms of $A$ depends only on the module $N(A)$ | statement | theorem 4.8 | arxiv |
| \bf The equivalence class of $A$ depends only on the module $N(A)$ | statement | theorem 4.9 | arxiv |
| 6G2X9MYJBR | definition | definition 1.7 | arxiv |
| 6ZB06M9EJT | statement | theorem 2.17 | arxiv |
| 70849VV791 | statement | proposition 3.9 | arxiv |
| 71SPEX49AA | statement | proposition 4.18 | arxiv |
| 7DBR4NZHH7 | statement | lemma 2.16 | arxiv |
| 7MKYZEPBMB | statement | corollary 2.10 | arxiv |
| 7YW54JERDE | statement | theorem 1.5 | arxiv |
| 8G89T3SY7G | statement | theorem 2.7 | arxiv |
| 8J0K4F9WWD | statement | lemma 4.6 | arxiv |
| \bf Strong reduced echelon form | definition | definition 1.3 | arxiv |
| 9MG78VBF9G | definition | definition 2.14 | arxiv |
| AHE0PD60KJ | definition | definition 2.2 | arxiv |
| BPPYAC9PD7 | statement | theorem 3.1 | arxiv |
| BS8HH099EP | statement | proposition 3.3 | arxiv |
| CJHMBYHV7Z | statement | proposition 2.4 | arxiv |
| CJSWK2EJGF | statement | proposition 4.17 | arxiv |
| CX8ZDDS0W9 | statement | lemma 2.8 | arxiv |
| \textbf{Goldie's Theorem | statement | theorem 4.19 | arxiv |
| FFMH2FVYCS | definition | definition 2.11 | arxiv |
| FG6EBFMX0D | statement | proposition 2.13 | arxiv |
| FNGYH56PAG | statement | theorem 3.7 | arxiv |
| JX2Z0GQ6XV | statement | lemma 2.9 | arxiv |
| K6XZW7T45P | definition | definition 1.6 | arxiv |
| QVQ2N5VWW9 | statement | lemma 4.14 | arxiv |
| \bf Reduced echelon form | definition | definition 4.2 | arxiv |
| QWQVGCPZM9 | definition | definition 1.1 | arxiv |
| \bf Existence of reduced echelon form | statement | theorem 4.3 | arxiv |
| R9WW39P5RZ | statement | theorem 3.4 | arxiv |
| T1NYY4VGHP | statement | corollary 4.20 | arxiv |
| TWZ2T6MQDS | statement | proposition 2.12 | arxiv |
| VWDZS200X4 | statement | theorem 2.15 | arxiv |
| WVXCH807Q4 | statement | lemma 4.22 | arxiv |
| XSMRMDJWKD | statement | proposition 4.16 | arxiv |
| XXX8DPS6A8 | statement | proposition 4.11 | arxiv |
| \bf Existence of strong reduced echelon form | statement | theorem 1.4 | arxiv |
| ZF552849AJ | statement | corollary 4.12 | arxiv |
| ZF5KARW7J4 | statement | theorem 1.8 | arxiv |
Catalogue records
- arxiv: 2609.37893 (work)
- arxiv_text: 2609.37893 (work)
- zbmath_search: 903190076 (work)