A remark on spaces over a special local ring
Mathematica Bohemica (1998)
- Volume: 123, Issue: 3, page 243-247
- ISSN: 0862-7959
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topJukl, Marek. "A remark on spaces over a special local ring." Mathematica Bohemica 123.3 (1998): 243-247. <http://eudml.org/doc/248309>.
@article{Jukl1998,
abstract = {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.},
author = {Jukl, Marek},
journal = {Mathematica Bohemica},
keywords = {linear algebra; nilpotent linear operator; local ring; linear algebra; A-space; nilpotent linear operator; local ring},
language = {eng},
number = {3},
pages = {243-247},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A remark on spaces over a special local ring},
url = {http://eudml.org/doc/248309},
volume = {123},
year = {1998},
}
TY - JOUR
AU - Jukl, Marek
TI - A remark on spaces over a special local ring
JO - Mathematica Bohemica
PY - 1998
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 123
IS - 3
SP - 243
EP - 247
AB - 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.
LA - eng
KW - linear algebra; nilpotent linear operator; local ring; linear algebra; A-space; nilpotent linear operator; local ring
UR - http://eudml.org/doc/248309
ER -
References
top- McDonald B. R., Geometric Algebra over Local Rings, Pure and applied mathematics, New York, 1976. (1976) Zbl0346.20027MR0476639
- Gelfand I. M., Lectures on Linear Algebra, Gostechizdat, Moskva, 1951. (In Russian.) (1951) MR0042373
- Jukl M., Linear forms on free modules over certain local ring, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 32 (1993), 49-62. (1993) Zbl0810.13006MR1273169
- Jukl M., Grassmann formula for certain type of modules, Acta Univ. Palack. Olomuc, Fac. Rerum Natur. Math. 34 (1995), 69-74. (1995) Zbl0860.13006MR1447256
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