On ?-clean group rings over finite fields
نویسندگان
چکیده
A ring R is called clean if every element of the sum a unit and an idempotent. Motivated by question proposed Lam on cleanness von Neumann Algebras, Vaš introduced more natural concept for ?-rings, ?-cleanness. More precisely, ?-ring ?- projection (?-invariant idempotent). Let F be finite field G abelian group. In this paper, we introduce two classes involutions group rings form characterize ?-cleanness these in each case. When ? taken as classical involution, also q terms LCD codes self-orthogonal .
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2021
ISSN: ['1090-2465', '1071-5797']
DOI: https://doi.org/10.1016/j.ffa.2021.101863