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摘要
This paper investigates the dimensional formulas of semilinear subspaces of n-dimensional vectors over commutative zerosumfree semirings. It first obtains some necessary and sufficient conditions that a sum of semilinear subspaces is a direct sum, which is then used to study the relationships between the direct sums and the dimensions of semilinear subspaces of n-dimensional vectors, some necessary and sufficient conditions that a sum of semilinear subspaces is a direct sum are further shown with terms of dimensions of semilinear subspaces. Finally, dimensional formulas of semilinear subspaces are given.
- 出版日期2014
- 单位四川师范大学
