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- W36345059 abstract "This chapter describes the regular algebras. The theory of regularity is concerned with algebras A that allows a constant operator c such that there is a one-to-one-correspondence between the congruences of A and the congruence classes of c. One only needs an arbitrary subalgebra U such that each family of congruence classes of elements of U simultaneously determines exactly one congruence on A. The chapter presents a measure of the deviation from the classical theories of groups, and rings being regular with respect to a single trivial atom. Afc ( A ) denotes the set of all algebraic function s (polynomials with constants); A b i ( A ) denotes the set of all bijective algebraic functions, the inverse mappings of which are also algebraic functions." @default.
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- W36345059 date "1977-01-01" @default.
- W36345059 modified "2023-09-25" @default.
- W36345059 title "ON REGULAR ALGEBRAS" @default.
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- W36345059 doi "https://doi.org/10.1016/b978-0-7204-0725-9.50041-1" @default.
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