FULLY IDEMPOTENT $\Gamma$-SEMIRING

Fully idempotent and coidempotent modules

In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann's regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.

Bisimulations for weighted automata over an additively idempotent semiring

We show that the methodology for testing the existence and computation the greatest simulations and bisimulations, developed in the framework of fuzzy automata [M. Ćirić et al., Fuzzy Sets and Systems 186 (2012) 100–139, 208 (2012) 22–42], can be applied in a similar form to weighted automata over an additively idempotent semiring. We define two types of simulations and four types of bisimulati...

fully idempotent and coidempotent modules

in this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von neumann's regular rings. furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.

Retracted: Idempotent Elements of the Endomorphism Semiring of a Finite Chain

Observer Design and Feedback Controller Synthesis with Observer in Idempotent Semiring

Aldjia Nait Abdesselam L2CSP laboratory Mouloud Mammeri UNiversity Route de Hasnaoua BP 17, 15000, Tizi-Ouzou Algeria [email protected] Redouane Kara L2CSP laboratory Mouloud Mammeri University Route de Hasnaoua BP 17, 15000, Tizi-Ouzou Algeria [email protected] Jean-Jacques Loiseau IRCCyN UMR CNRS 6597 BP 92101 1 rue de la No 44321 Nantes Cedex 3 France [email protected]