Rings all of Whose Pierce Stalks are Local

Canadian Mathematical Bulletin - Tập 22 Số 2 - Trang 159-164 - 1979
W. D. Burgess1, W. Stephenson2
1Department of Mathematics, Faculty of Science and Engineering, University of Ottawa, Ottawa, Canada, K1N 6N5
2Bedford College, Regents Park, LondonNW1 4Ns, U.K

Tóm tắt

The aim of this paper is to give a number of characterizations of the rings of the title. In particular, these turn out to be precisely those exchange rings whose idempotents are all central. They are also those rings in which every element is the sum of a unit and a central idempotent.

Từ khóa


Tài liệu tham khảo

Jacobson, 1964, Amer. Math. Soc. Colloquium Publications, 37

10.1090/S0002-9939-1972-0302695-2

Pierce, 1967, Modules over commutative regular rings, Mémoires Amer. Math. Soc,, 70

10.1080/00927877608822094

10.1080/00927877808822272

Lambek, 1966, Lectures on Rings and Modules,

10.1090/S0002-9947-1953-0053089-1

10.1090/S0002-9947-1977-0439876-2

Thông tin
Thông tin xuất bản

Canadian Mathematical Bulletin

Tập 22 Số 2

159-164

Thông tin tác giả