Geodesic
A remark on spaces over a special local ring
Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 243-247

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MR Zbl
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.
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.
DOI : 10.21136/MB.1998.126075
Classification : 13C10, 15A03
Keywords: linear algebra; nilpotent linear operator; local ring 
Jukl, Marek. A remark on spaces over a special local ring. Mathematica Bohemica, Tome 123 (1998) no. 3, pp. 243-247. doi: 10.21136/MB.1998.126075
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[1] McDonald B. R.: Geometric Algebra over Local Rings. Pure and applied mathematics, New York, 1976. | MR | Zbl

[2] Gelfand I. M.: Lectures on Linear Algebra. Gostechizdat, Moskva, 1951. (In Russian.) | MR

[3] Jukl M.: Linear forms on free modules over certain local ring. Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 32 (1993), 49-62. | MR | Zbl

[4] Jukl M.: Grassmann formula for certain type of modules. Acta Univ. Palack. Olomuc, Fac. Rerum Natur. Math. 34 (1995), 69-74. | MR | Zbl

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