| Title:
|
A remark on spaces over a special local ring (English) |
| Author:
|
Jukl, Marek |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
123 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
243-247 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with A-spaces in the sense of McDonald over linear algebras A of a certain type. Necessary and sufficient conditions for a submodule to be an A-space are derived. (English) |
| Keyword:
|
linear algebra |
| Keyword:
|
nilpotent linear operator |
| Keyword:
|
local ring |
| MSC:
|
13C10 |
| MSC:
|
15A03 |
| idZBL:
|
Zbl 0941.15001 |
| idMR:
|
MR1645430 |
| DOI:
|
10.21136/MB.1998.126075 |
| . |
| Date available:
|
2009-09-24T21:31:36Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126075 |
| . |
| Reference:
|
[1] McDonald B. R.: Geometric Algebra over Local Rings.Pure and applied mathematics, New York, 1976. Zbl 0346.20027, MR 0476639 |
| Reference:
|
[2] Gelfand I. M.: Lectures on Linear Algebra.Gostechizdat, Moskva, 1951. (In Russian.) MR 0042373 |
| Reference:
|
[3] Jukl M.: Linear forms on free modules over certain local ring.Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 32 (1993), 49-62. Zbl 0810.13006, MR 1273169 |
| Reference:
|
[4] Jukl M.: Grassmann formula for certain type of modules.Acta Univ. Palack. Olomuc, Fac. Rerum Natur. Math. 34 (1995), 69-74. Zbl 0860.13006, MR 1447256 |
| . |
