ABSOLUTELY PURE REPRESENTATIONS OF QUIVERS
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In the current paper we study absolutely pure representa- tions of quivers. Then over some nice quivers including linear quivers some sufficient conditions guaranteeing a representation to be absolutely pure is characterized. Furthermore some relations between flatness and absolute purity is investigated. Finally it is shown that the absolutely pure covering of representations of linear quivers (including A-∞, A+∞ and A∞∞) by R-modules whenever R is a coherent ring exists.
Abstract
In the current paper we study absolutely pure representa- tions of quivers. Then over some nice quivers including linear quivers some sufficient conditions guaranteeing a representation to be absolutely pure is characterized. Furthermore some relations between flatness and absolute purity is investigated. Finally it is shown that the absolutely pure covering of representations of linear quivers (including A-∞, A+∞ and A∞∞) by R-modules whenever R is a coherent ring exists.
참고문헌 (13)
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