We look at a hierarchical arrangement of ideals in an MV -algebra. The principal classes of ideals studied are the maximals, the primes, the local and perfect ideals and the semi-locals. Beyond these special classes of ideals are the general ideals. Herein we study some relationships among these classes and, more specifically, the products of ideals of these classes. Among the results obtained are the square of a prime ideal is a local ideal, the finite product of prime ideals is (...) a semilocal ideal. We also show that the set of local ideals shares many of the properties of the class of prime ideals, as the Lying Over Theorem and the Going Up Theorem. (shrink)

In this paper we show that the prime ideal space of an MV-algebra is the disjoint union of prime ideal spaces of suitable local MV-algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as well.

In [9] Mundici introduced a categorical equivalence Γ between the category of MV-algebras and the category of abelian [MATHEMATICAL SCRIPT SMALL L]-groups with strong unit. Using Mundici's functor Γ, in [8] the authors established an equivalence between the category of perfect MV-algebras and the category of abelian [MATHEMATICAL SCRIPT SMALL L]-groups. Aim of the present paper is to use the above functors to provide Yosida like representations of a large class of MV-algebras.

ABSTRACT In this paper we shall prove that l-rings are categorally equivalent to the MV*-algebras, a subcategory of perfect MV-algebras. We shall use this equivalence in order to characterize l-rings as quotients of certain semirings of matrices over MV*-algebras. We shall establish a relation between l-ideals in l-rings and some ideals in MV*-algebras. This edlows us to study the MV* f-algebras, a subclass of the MV*-algebras corresponding to the f-rings.

The relationship between humanity and the soil is an increasingly important topic in social theory. However, conceptualisations of the soil developed by anticolonial thinkers at the high point of the movement for self-determination between the 1940s and the 1970s have remained largely ignored. This is a shame, not least because theorists like Eric Williams, Walter Rodney, Suzanne Césaire and Amílcar Cabral were concerned with the soil. Building on recent work on human-soil relations and decolonial ecology, we argue that these four (...) thinkers conceptualised the connection between soil, empire, and anticolonial revolt. Williams and Rodney ground understanding of soil degradation in global relations of economic power, while Césaire and Cabral reconceptualise postcolonial nationhood in terms of the mutability and diversity of the soil. The article concludes by suggesting that these two anticolonial counterpoints, global connectivity and more-than-human identification, anticipate and deepen contemporary attempts to decolonise ecological thinking. (shrink)

In this paper I argue that warrant for Lewis’ principle of recombination presupposes warrant for a combinatorial analysis of intrinsicality, which in turn presupposes warrant for the principle of recombination. This, I claim, leads to a vicious circularity: warrant for neither doctrine can get off the ground.

We recall some of the early occurrences of the notions of interactivity and symmetry in the operational and denotational semantics of programming languages. We suggest some connections with ludics.

This book examines the relationship between law and scientific advancement, with a particular focus on the theory of evolution and medical innovation. Historically, the law has struggled to keep pace with modern medical advances. The authors demonstrate that the laws that govern human behaviour must evolve in response to such advances."--Provided by publisher.

The article is a critique of malcolm and the wittgensteinians and their criticisms of russell which the author finds to be "prosecuting russell on false charges." (staff).

Although Thomas Aquinas assumes that all knowledge begins in the senses, he maintains that substantial forms and the essences of material things are not apparent to the senses. Clearly, the noetic of abstraction per se cannot account for our knowledge of them. Thomas often says that they are “unknown in themselves” but “become known” through their accidents. The author argues that properties, or proper accidents — namely, accidents that are interconvertible with a subject — play a crucial role in this (...) obscure area of Thomas’s thought. Beginning with an examination of the property in logic , the author goes on to examine Thomas’s accounts of heat as a property of fire, and the powers of the soul as properties of its essence. Thomas maintains that such properties flow from the essence by a causal relation that he calls resultatio, but that their coexistence with the essence is absolutely necessary in a quasi-logical manner . Finally, the author suggests that in Thomas’s view, accidents really do make the hidden quiddities of their subjects known: knowing created things through their accidents is not at all like knowing God through creatures. (shrink)