Finite simple additively idempotent semirings
نویسندگان
چکیده
منابع مشابه
Additively Inverse Semirings
In this paper we show that in a regular additively inverse semiring (S,+, ·) with 1 satisfying the conditions (A) a(a + a′) = a + a′; (B) a(b + b′) = (b + b′)a and (C) a + a(b + b′) = a, for all a, b ∈ S, the sum of two principal left ideals is again a principal left ideal. Also, we decompose S as a direct sum of two mutually inverse ideals.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2013
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2013.04.023