✦ LIBER ✦

Rings in boolean algebras

✍ Scribed by C.H. Cunkle; S. Rudeanu

Publisher: Elsevier Science
Year: 1974
Tongue: English
Weight: 418 KB
Volume: 7
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(74)80017-8

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✦ Synopsis

Studxes of various algebraic structures which can be defined over a Boolean algebra by means of Boolean operations have been made by Bernstein [1,2], Cunkle [3], Elliott [4], Frink [6, 7], Gratzer [8], Gratzer and Schmidt [9], Rudeanu [ 10, 11 ], Valdyanathaswamy [12], Wiener [13], and others. The first determination of all ring structures was made by Frlnk [7] m 1928. The subclass of Boolean tings has been investigated independently by Gratzer and Schmldt [9], Rudeanu [10, 1 I], and Gratzer [8]. The mvestxgation of these topics Is summarized and completed here, the principal new contributions covering homomorphlsms and lsomorphlsms between the rings

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