Displaying similar documents to “Epimorphisms between finite MV-algebras”

A strengthening of the Poincaré recurrence theorem on MV-algebras

Riečan, Beloslav

Similarity:

The strong version of the Poincaré recurrence theorem states that for any probability space ( Ω , 𝒮 , P ) , any P -measure preserving transformation T : Ω → Ω and any A ∈ 𝒮 almost every point of A returns to A infinitely many times. In [8] (see also [4]) the theorem has been proved for MV-algebras of some type. The present paper contains a remarkable strengthening of the result stated in [8].

Remarks on effect-tribes

Sylvia Pulmannová, Elena Vinceková (2015)

Kybernetika

Similarity:

We show that an effect tribe of fuzzy sets 𝒯 ⊆ [ 0 , 1 ] X with the property that every f ∈ 𝒯 is ℬ 0 ( 𝒯 ) -measurable, where ℬ 0 ( 𝒯 ) is the family of subsets of X whose characteristic functions are central elements in 𝒯 , is a tribe. Moreover, a monotone σ -complete effect algebra with RDP with a Loomis-Sikorski representation ( X , 𝒯 , h ) , where the tribe 𝒯 has the property that every f ∈ 𝒯 is ℬ 0 ( 𝒯 ) -measurable, is a σ -MV-algebra.

Multidimensional self-affine sets: non-empty interior and the set of uniqueness

Kevin G. Hare, Nikita Sidorov (2015)

Studia Mathematica

Similarity:

Let M be a d × d real contracting matrix. We consider the self-affine iterated function system Mv-u, Mv+u, where u is a cyclic vector. Our main result is as follows: if | d e t M | ≥ 2 - 1 / d , then the attractor A M has non-empty interior. We also consider the set M of points in A M which have a unique address. We show that unless M belongs to a very special (non-generic) class, the Hausdorff dimension of M is positive. For this special class the full description of M is given as well. This paper continues our...

Matrix representation of finite effect algebras

Grzegorz Bińczak, Joanna Kaleta, Andrzej Zembrzuski (2023)

Kybernetika

Similarity:

In this paper we present representation of finite effect algebras by matrices. For each non-trivial finite effect algebra E we construct set of matrices M ( E ) in such a way that effect algebras E 1 and E 2 are isomorphic if and only if M ( E 1 ) = M ( E 2 ) . The paper also contains the full list of matrices representing all nontrivial finite effect algebras of cardinality at most 8 .

A representation theorem for tense n × m -valued Łukasiewicz-Moisil algebras

Aldo Victorio Figallo, Gustavo Pelaitay (2015)

Mathematica Bohemica

Similarity:

In 2000, Figallo and Sanza introduced n × m -valued Łukasiewicz-Moisil algebras which are both particular cases of matrix Łukasiewicz algebras and a generalization of n -valued Łukasiewicz-Moisil algebras. Here we initiate an investigation into the class n × m of tense n × m -valued Łukasiewicz-Moisil algebras (or tense LM n × m -algebras), namely n × m -valued Łukasiewicz-Moisil algebras endowed with two unary operations called tense operators. These algebras constitute a generalization of tense...

Inverse topology in MV-algebras

Fereshteh Forouzesh, Farhad Sajadian, Mahta Bedrood (2019)

Mathematica Bohemica

Similarity:

We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra A and show that the set of all minimal prime ideals of A , namely Min ( A ) , with the inverse topology is a compact space, Hausdorff, T 0 -space and T 1 -space. Furthermore, we prove that the spectral topology on Min ( A ) is a zero-dimensional Hausdorff topology and show that the spectral topology on Min ( A ) is finer than the inverse topology on Min ( A ) . Finally, by open sets of the inverse topology, we define and study a congruence...