We introduce a natural exact structure on a lift category, then we study those objects with trivial selfextension group. These results are used for studying some finitely generated modules over an artin algebra determined by their top and socle or by the projectives of their minimal projective presentations.
机构:
Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Ciudad Univ, Mexico City 04510, DF, MexicoUniv Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Ciudad Univ, Mexico City 04510, DF, Mexico
机构:
IMAM Univ, Coll Sci, Dept Math & Stat, POB 12068, Riyadh 11473, Saudi ArabiaIMAM Univ, Coll Sci, Dept Math & Stat, POB 12068, Riyadh 11473, Saudi Arabia