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math.RA2016
Toward Homological Characterization of Semirings by e-Injective Semimodules
J. Y. Abuhlail, S. N. Il'in, Y. Katsov +1
In this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are…
math.RA2016
A criterion for Leavitt path algebras having invariant basis number
T. G. Nam, N. T. Phuc
In this paper, we give a matrix-theoretic criterion for the Leavitt path algebra of a finite graph has Invariant Basis Number. Consequently, we show that the Cohn path algebra of a…
math.RA2016
Leavitt path algebras having Unbounded Generating Number
G. Abrams, T. G. Nam, N. T. Phuc
We present a result of P. Ara which establishes that the Unbounded Generating Number property is a Morita invariant for unital rings. Using this, we give necessary and sufficient c…