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具有零同态的三阶Morita Context环(英)

, PP. 52-56

Keywords: 三阶MoritaContext环,π正则的,半Clean的,左morphic的,exchange的,potent的,GM

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Abstract:

进一步将二阶MoritaContext环上的部分性质推广到了三阶MoritaContext环上.设O=RABCSDEFT是三阶MoritaContext环,证明了1)O是π正则的(或半Clean的\,Exchange的\,Potent的\,GM环)当且仅当R\,S和T也是该类环;2)O是左Morphic环当且仅当R\,S\,T是左Morphic的,且A=B=C=D=E=F=0.

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