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1. Coverages Give Free Constructions for Partial Frames

   Defining objects using generators and relations has seen substantial application in the theory of frames. It is the aim of this paper to establish...

   John Frith, Anneliese Schauerte in Applied Categorical Structures

   Article 14 November 2015

2. The ordered set of principal congruences of a countable lattice

   For a lattice L, let Princ( L ) denote the ordered set of principal congruences of L . In a pioneering paper, G. Grätzer characterized the ordered set...

   Gábor Czédli in Algebra universalis

   Article 15 March 2016

3. Weakly algebraic ideal topology of effect algebras

   In this paper, we show that every weakly algebraic ideal of an effect algebra E induces a uniform topology (weakly algebraic ideal topology, for...

   Qing Jun Luo, Guo Jun Wang in Acta Mathematica Sinica, English Series

   Article 15 April 2015

4. Traveling Spots on Multi-Dimensional Excitable Media

   In this paper, the existence of a traveling spot on multi-dimensional ex-citable media is studied. First, the equations for the front and the back of...

   Yan-Yu Chen, Hirokazu Ninomiya, Ryotaro Taguchi in Journal of Elliptic and Parabolic Equations

   Article 01 October 2015

5. Completions of uniform partial frames

   We address classical questions concerning the existence and properties of completions in a new context, namely, that of uniform partial frames.

   A...

   J. Frith, A. Schauerte in Acta Mathematica Hungarica

   Article 19 June 2015

6. Homogenization of Heat Transfer Process in Composite Materials

   In this paper, we adapt the periodic unfolding method to study the asymptotic behavior, as ɛ tends to zero, of a class of stationary heat problems on...

   Le Nguyen Kim Hang in Journal of Elliptic and Parabolic Equations

   Article 01 April 2015

7. Compatible operations on commutative weak residuated lattices

   Compatibility of functions is a classical topic in Universal Algebra related to the notion of affine completeness. In algebraic logic, it is...

   Hernán Javier San Martín in Algebra universalis

   Article 05 February 2015

8. Isotopic algebras with nonisomorphic congruence lattices

   We present pairs of isotopic algebras with congruence lattices of different sizes, thus answering negatively the question of whether isotopic...

   William DeMeo in Algebra universalis

   Article 31 July 2014

9. Ojective ideals in modular lattices

   The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized...

   Shriram K. Nimbhorkar, Rupal C. Shroff in Czechoslovak Mathematical Journal

   Article 01 March 2015

10. A technical lemma for congruences of finite lattices

    The classical Technical Lemma for congruences is not difficult to prove but it is very efficient in its applications. We present here a Technical...

    G. Grätzer in Algebra universalis

    Article 04 May 2014

11. A short proof of the congruence representation theorem of rectangular lattices

    In a 1998 paper with H. Lakser, the authors proved that every finite distributive lattice D can be represented as the congruence lattice of a finite se...

    G. Grätzer, E. T. Schmidt in Algebra universalis

    Article 30 October 2013

12. The pasting constructions for effect algebras

    The aim of this paper is to present several techniques of constructing a lattice-ordered effect algebra from a given family of lattice-ordered effect...

    Yongjan **e, Yongming Li, Aili Yang in Mathematica Slovaca

    Article 01 October 2014

13. Coherence classes of ideals of normal lattices with applications to C(X)

    Given a topological space X , Jenkins and McKnight have shown how ideals of the ring C ( X ) are partitioned into equivalence classes — called coherence...

    Themba Dube in Mathematica Slovaca

    Article 23 August 2013

14. The order of principal congruences of a bounded lattice

    We characterize the order of principal congruences of a bounded lattice (also of a complete lattice and of a lattice of length 5) as a bounded...

    G. Grätzer in Algebra universalis

    Article 05 June 2013

15. Kernel ideals of a Stone JP-semilattice

    A meet semilattice with a partial join operation satisfying some axioms is a JP-semilattice. A PJP-semilattice is a pseudocomplemented...

    S. N. Begum, A. S. A. Noor, M. R. Talukder in Acta Mathematica Hungarica

    Article 30 April 2013

16. Representable tolerances in varieties

    We discuss two possible ways of representing tolerances: first, as a homomorphic image of some congruence; second, as the relational composition of...

    Paolo Lipparini in Acta Scientiarum Mathematicarum

    Article 01 June 2013

17. Associativity of operations on orthomodular lattices

    It is known that orthomodular lattices admit 96 binary operations, out of which 16 are commutative. We clarify which of them are associative.

    Jeannine J. M. Gabriëls, Mirko Navara in Mathematica Slovaca

    Article 20 December 2012

18. Sequences of Commutator Operations

    Erhard Aichinger, Nebojša Mudrinski in Order

    Article Open access 19 January 2013

19. Independent joins of tolerance factorable varieties

    Let Lat denote the variety of lattices. In 1982, the second author proved that Lat is strongly tolerance factorable , that is, the members of Lat have...

    Ivan Chajda, Gábor Czédli, Radomír Halaš in Algebra universalis

    Article 27 December 2012

20. Congruences on directoids

    Directoids are groupoids defined on every upward directed poset. They fully characterize these posets. Hence, in order to study conguences on...

    Ivan Chajda, Jan Krňávek, Helmut Länger in Acta Scientiarum Mathematicarum

    Article 01 December 2012