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In this paper, the class of quasi-annihilator (homo)flat acts based on the notion of quasi-annihilator ideal is introduced. This class lies strictly between the classes of weakly (homo)flat and principally weakly (homo)flat acts. Some properties of such kinds of flatness are studied. We present some homological classifications for monoids by means of quasi-annihilator (homo)flatness of their right Rees factor acts.
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참고문헌 (18)
참고문헌 신청
S. Bulman-Fleming / 1997 / Semigroups and applications (St. Andrews, 1997) / World Sci. Publ. :18~38
S. Bulman-Fleming / 2002 / Absolutely annihilator-flat monoids / Semigroup Forum 65(3):428~449
S. Bulman-Fleming / 2002 / Equalizers and flatness properties of acts / Comm. Algebra 30(3):1475~1498
M. Kilp / 1970 / On flat acts / Tartu Ul. Toimetised 253:66~72
M. Kilp / 1983 / Classification of monoids by the properties of their Rees factor-polygons / Tartu Riikl. Ul. Toimetised 640:29~37
S. Bulman-Fleming / 2002 / Absolutely annihilator-flat monoids / Semigroup Forum 65(3):428~449
S. Bulman-Fleming / 2002 / Equalizers and flatness properties of acts / Comm. Algebra 30(3):1475~1498
M. Kilp / 1970 / On flat acts / Tartu Ul. Toimetised 253:66~72
M. Kilp / 1983 / Classification of monoids by the properties of their Rees factor-polygons / Tartu Riikl. Ul. Toimetised 640:29~37
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