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K 0 of Skew Group Rings and Simple Noetherian Rings without Idempotents
Author(s) -
Lorenz Martin
Publication year - 1985
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/s2-32.1.41
Subject(s) - skew , noetherian , simple (philosophy) , group ring , mathematics , group (periodic table) , pure mathematics , algebra over a field , computer science , physics , telecommunications , philosophy , epistemology , quantum mechanics
We construct simple Noetherian rings S of characteristic p , for any prime p , such that S has zero divisors but no non‐trivial idempotents, and S is not Morita equivalent to a domain. Our methods are non‐computational and rely on a description of K 0 for certain skew group rings.