Additive derivative and multiplicative coderivative operators on MV-algebras

Tense Operators on MV-Algebras and Lukasiewicz-Moisil Algebras

We introduce the tense LMn-algebras and the tense MV algebras as algebraic structures for some tense many-valued logics. A representation theorem for tense LMn-algebras is proved and the polynomially equivalence between tense LM3-algebras (resp. tense LM4-algebras) and tense MV3-algebras (resp. tense MV4-algebras) is established. We study the pairs of dually-conjugated operations on MV -algebra...

Reaction and Control I. Mixing Additive and Multiplicative Network Algebras

This paper is included in a series aiming to contribute to the algebraic theory of distributed computation. The key problem in understanding Multi-Agent Systems is to find a theory which integrates the reactive part and the control part of such systems. To this end we use the calculus of flownomials. It is a polynomial-like calculus for representing flowgraphs and their behaviours. An ‘additive...

On Additive and Multiplicative Totals

In the present paper terminology “total” is used for a generalization of the Burkill integral and multiplicative integral, respectively. The functions, the totals of which are considered, take their values from a Banach algebra B with a unity. This means a Banach space B in which for every pair f ∈ B, g ∈ B a product fg ∈ B is defined such that ‖fg‖ ≤ ‖f‖ ‖g‖ and if h ∈ B, then f(g + h) = fg + ...

Multiplicative bijective maps on standard operator algebras

MV* - Algebras

In this paper we make an algebraic study of the variety of M V * –algebras introduced by C. C.Chang as an algebraic counterpart for a logic with positive and negative truth values. We build the algebraic theory of M V * –algebras within its own limits using a concept of ideal and of prime ideal that are very naturally related to the corresponding concepts in –groups. The main results are a subd...