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"... Throughout the paper k denotes a fixed field. All vector spaces and linear maps are k-vector spaces and k-linear maps, respectively. By Z, N, and N+, we denote the sets of integers, nonnegative integers, and positive integers, respectively. For i, j ∈ Z, [i, j]: = {l ∈ Z | i ≤ l ≤ j} (in particular, ..."

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Throughout the paper k denotes a fixed field. All vector spaces and linear maps are k-vector spaces and k-linear maps, respectively. By Z, N, and N+, we denote the sets of integers, nonnegative integers, and positive integers, respectively. For i, j ∈ Z, [i, j]: = {l ∈ Z | i ≤ l ≤ j} (in particular, [i, j] = ∅ if i> j).