Homological Equivalences of Modules and Their Projective Invariants | Zendy

Holland David | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Homological Equivalences of Modules and Their Projective Invariants

Author(s) -

Holland David

Publication year - 1991

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/s2-43.3.396

Subject(s) - mathematics , pure mathematics , automorphism , endomorphism , invariant (physics) , galois group , endomorphism ring , fundamental theorem of galois theory , abelian extension , algebra over a field , discrete mathematics , mathematical physics

This paper generalises Chinburg's construction [ 4 , 5 ] of invariants in the class group of an integral group ring from two‐fold extensions of (Galois) modules. The two main results are the expression of invariants of endomorphisms of a non‐projective lattice over an order (which lie in the kernel group) in terms of reduced norms of local automorphisms, and the description of a coset of the Swan subgroup of the class group, which contains Chinburg's invariant Ω( N / K , 1) of a finite Galois extension N/K of number fields, in terms of invariants of homomorphisms.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research