Distributive differential modals

• Autorzy: Karolina Ślusarska
• Języki publikacji: EN

Abstrakty

EN

A differential modal is an algebra with two binary operations such that one of the reducts is a differential groupoid and the other is a semilattice, and with the groupoid operation distributing over the semilattice operation. The aim of this paper is to show that the varieties of entropic and distributive differential modals coincide, and to describe the lattice of varieties of entropic differential modals.

Słowa kluczowe

EN

differential groupoid; mode; modal

Kategorie tematyczne

• 08B20: Free algebras
• 08B15: Lattices of varieties

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2008
• Tom: 28
• Numer: 1
• Strony: 29-47

Daty

wydano

2008

otrzymano

2006-06-30

poprawiono

2006-07-18

Twórcy

autor

Karolina Ślusarska

• Faculty of Mathematics and Information Sciences, Warsaw University of Technology, 00-661 Warsaw, Poland

Bibliografia

• [1] K.A. Kearnes, Semilattice modes I: the associated semiring, Algebra Universalis 34 (1995), 220-272.
• [2] A. Romanowska, On some representations of groupoid modes satisfying the reduction law, Demonstratio Mathematica 21 (1988), 943-960.
• [3] A. Romanowska and B. Roszkowska, On some groupoid modes, Demonstratio Mathematica 20 (1987), 277-290.
• [4] A. Romanowska and B. Roszkowska, Representations of n-cyclic groupoids, Algebra Universalis 26 (1989), 7-15.
• [5] A.B. Romanowska and J.D.H. Smith, Modes, World Scientific, Singapore 2002.
• [6] A.B. Romanowska and J.D.H. Smith, Modal Theory - an Algebraic Approach to Order, Geometry and Convexity, Heldermann Verlag, Berlin 1985.
• [7] A.B. Romanowska and J.D.H. Smith, Differential groupoids, Contribution to General Algebra 7 (1991), 283-290.

Identyfikatory

DOI

10.7151/dmgaa.1133