Iteration theories: the equational logic of iterative processes
Iteration theories: the equational logic of iterative processes
Semirings, Automata and Languages
Semirings, Automata and Languages
Theoretical Computer Science - Words, languages and combinatorics
The semiring of matrices over a finite chain
Information Sciences: an International Journal
The characterizations of h-hemiregular hemirings and h-intra-hemiregular hemirings
Information Sciences: an International Journal
Characterizations of h-intra- and h-quasi-hemiregular hemirings
Computers & Mathematics with Applications
| Hi-index | 5.23 |
We introduce and study *-µ-semirings and *-λ-semirings which generalize inductive *-semirings and weak inductive *-semirings, respectively. Also, we discuss the semiring of formal power series with coefficients in such a semiring and prove that the semiring of formal power series with coefficients in a weak inductive *-semiring [µ-semiring, λ-semiring, *-λ-semiring] is a weak inductive *-semirng [µ-semiring, λ-semiring, *-λ-semiring, respectively]. This gives a positive answer to one of Ésik and Kuich's open problems.