This paper deals with injective and projective right HomH-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that Hom Mod H is an Abelian category. Next, th...This paper deals with injective and projective right HomH-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that Hom Mod H is an Abelian category. Next, the authors define Hom-path algebras and construct Hom-path algebras of some quivers.展开更多
Based on the loop-algebraic presentation of 2-toroidal Lie superalgebras, a free field representation of toroidal Lie superalgebras of type A(m, n) is constructed using both vertex operators and bosonic fields.
基金supported by the National Natural Science Foundation of China(Nos.11271119,11201314)the Natural Science Foundation of Beijing(No.1122002)
文摘This paper deals with injective and projective right HomH-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that Hom Mod H is an Abelian category. Next, the authors define Hom-path algebras and construct Hom-path algebras of some quivers.
基金supported by the National Natural Science Foundation of China(No.11271138,No.11301393)the Simons Foundation(No.198219)the domestic visiting scholar professional development project of colleges and Universities in Zhejiang Province(No.FX2014099)
文摘Based on the loop-algebraic presentation of 2-toroidal Lie superalgebras, a free field representation of toroidal Lie superalgebras of type A(m, n) is constructed using both vertex operators and bosonic fields.
