关于GI平坦模和GF挠模
관우GI평탄모화GF뇨모
On GI-flat and GF-torsion modules
  • 万方数据
    中国科学技术大学学报 중국과학기술대학학보
    JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
    2015年 3期 193-198 ,共6页

    王修建%赵玉娥%杜先能

    왕수건%조옥아%두선능

    Gorenstein内射模%Gorenstein平坦模%GI平坦模%GF挠模 Gorenstein內射模%Gorenstein平坦模%GI平坦模%GF撓模
    Gorenstein내사모%Gorenstein평탄모%GI평탄모%GF뇨모
    Gorenstein injective modules%Gorenstein flat modules%GI-flat modules%GF-torsion modules
    研究了两类模：GI平坦模和GF挠模，其中，GI表示Gorenstein内射模，GF表示Gorenstein平坦模；刻画了环的两个同调维数，即Gorenstein内射模的最大平坦维数和模的最大GF挠维数。同时也研究了这些模类和同调维数之间的关系。
    연구료량류모：GI평탄모화GF뇨모，기중，GI표시Gorenstein내사모，GF표시Gorenstein평탄모；각화료배적량개동조유수，즉Gorenstein내사모적최대평탄유수화모적최대GF뇨유수。동시야연구료저사모류화동조유수지간적관계。
    Two classes of modules were studied:GI‐flat and GF‐torsion modules ,where GI stands for Gorenstein injective modules and GF for Gorenstein flat modules . Two homological dimensions for a ring were investigated , the supremum of the flat dimension of Gorenstein injective modules and the supremum of the GF‐torsion dimension of all modules .The relation between these classes of modules and the homological dimensions was also studied .
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