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- W2085723972 abstract "We prove that the minimum number ν = ν(Um(R)) such that them × mupper triangular matrix algebra Um(R) over an arbitrary commutative ringRcan be generated as anR-algebra by ν idempotents, is given by In order to prove the result mentioned above, we show that ν(R(m)) = ⌈log2 m⌉ for everym ≥ 2, whereR(m)denotes the direct sum ofmcopies ofR. The latter result corrects an error by N. Krupnik (Comm. Algebra20, 1992, 3251–3257)." @default.
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- W2085723972 date "1998-07-01" @default.
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- W2085723972 title "The Minimum Number of Idempotent Generators of an Upper Triangular Matrix Algebra" @default.
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- W2085723972 doi "https://doi.org/10.1006/jabr.1997.7405" @default.
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