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A note on Stone join-semilattices

Shriram Nimbhorkar, Anwari Rahemani (2011)

Open Mathematics

Characterizations for a pseudocomplemented modular join-semilattice with 0 and 1 and its ideal lattice to be a Stone lattice are given.

A note on Sugihara algebras.

Josep M. Font, Gonzalo Rodríguez Pérez (1992)

Publicacions Matemàtiques

In [4] Blok and Pigozzi prove syntactically that RM, the propositional calculus also called R-Mingle, is algebraizable, and as a consequence there is a unique quasivariety (the so-called equivalent quasivariety semantics) associated to it. In [3] it is stated that this quasivariety is the variety of Sugihara algebras. Starting from this fact, in this paper we present an equational base for this variety obtained as a subvariety of the variety of R-algebras, found in [7] to be associated in the same...

A note on the distribution of angles associated to indefinite integral binary quadratic forms

Dragan Đokić (2019)

Czechoslovak Mathematical Journal

To each indefinite integral binary quadratic form Q , we may associate the geodesic in ℍ through the roots of quadratic equation Q ( x , 1 ) . In this paper we study the asymptotic distribution (as discriminant tends to infinity) of the angles between these geodesics and one fixed vertical geodesic which intersects all of them.

A note on the p-distributivity in non-Archimedean f-rings.

Joan Trías Pairó (1980)

Stochastica

Non-Archimedean f-rings need not be p-distributive. Moreover, if {di|i} is a subset of a non-Archimedean f-ring and a ≥ 0, the elements a vi di and vi adi need not be equal. We prove, however, that the difference is an infinitely small element when the ring has a strong unity.

A note on the symmetric difference in lattices.

Eloy Renedo, Enric Trillas, Claudio Alsina (2005)

Mathware and Soft Computing

The paper introduces a definition of symmetric difference in lattices with negation, presents its general properties and studies those that are typical of ortholattices, orthomodular lattices, De Morgan and Boolean algebras.

A note on topology of Z -continuous posets

Venu G. Menon (1996)

Commentationes Mathematicae Universitatis Carolinae

Z -continuous posets are common generalizations of continuous posets, completely distributive lattices, and unique factorization posets. Though the algebraic properties of Z -continuous posets had been studied by several authors, the topological properties are rather unknown. In this short note an intrinsic topology on a Z -continuous poset is defined and its properties are explored.

A note on uniserial loops

Jaroslav Ježek, Tomáš Kepka (2010)

Commentationes Mathematicae Universitatis Carolinae

All ordinal numbers α with the following property are found: there exists a loop such that its subloops form a chain of ordinal type α .

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