Geodesic
Inertial law of symplectic forms on modules over plural algebra
Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 191-196

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MR Zbl
In this paper the problem of construction of the canonical matrix belonging to symplectic forms on a module over the so called plural algebra (introduced in [5]) is solved.
In this paper the problem of construction of the canonical matrix belonging to symplectic forms on a module over the so called plural algebra (introduced in [5]) is solved.
DOI : 10.21136/MB.1997.125919
Classification : 15A63, 16D40, 51A50
Keywords: linear algebra; free module; symplectic form; symplectic basis; bilinear form 
Jukl, Marek. Inertial law of symplectic forms on modules over plural algebra. Mathematica Bohemica, Tome 122 (1997) no. 2, pp. 191-196. doi: 10.21136/MB.1997.125919
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[1] F. W. Anderson F. K. Fuller: Rings and Categories of Modules. Springer-Verlag, New-York, 1973. | MR

[2] E. Artin: Geometric Algebra. Nauka, Moskva, 1969. (In Russian.) | MR | Zbl

[3] M. F. Atiyah I. G. MacDonald: Introduction to Commutative Algebra. Mir, Moskva, 1972. (In Russian.) | MR

[4] M. Jukl: Grassmann formula for certain type of modules. Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 3Jt (1995), 69-74. | MR | Zbl

[5] M. Jukl: Inertial laws of quadratic forms on modules over plural algebra. Math. Bohem. 120 (1995), 255-263. | MR

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

[7] B. R. McDonald: Geometric Algebra over Local Rings. Pure and applied mathematics. New York, 1976. | MR | Zbl

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