Construction of existentially closed Abelian lattice-ordered groups using upper extensions
Sign Up to like & getrecommendations! Published in 2018 at "Algebra universalis"
DOI: 10.1007/s00012-018-0531-y
Abstract: The upper extension construction of Ball, Conrad, and Darnel is used to produce new examples of non-Archimedean existentially closed Abelian lattice-ordered groups and boundedly existentially closed Abelian lattice-ordered groups. Also given are conditions under which… read more here.
Keywords: existentially closed; lattice ordered; abelian lattice; ordered groups ... See more keywords
Radical Properties of Lattice ????-Ordered Algebras
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-3747-7
Abstract: Kopytov’s ????-order for any algebras over a field is considered. Some results concerning relationships between l-prime radicals and prime radicals in lattice ????-ordered algebras over partially ordered fields are obtained. Also, the notion of a… read more here.
Keywords: properties lattice; lattice ordered; radical properties; ordered algebras ... See more keywords
Outer measure on effect algebras
Sign Up to like & getrecommendations! Published in 2017 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0012
Abstract: Abstract In the present paper, the notion of an outer measure m* on lattice ordered effect algebras L is introduced and investigated. Carathéodory’s criterion for the outer measure m* is given and established on L.… read more here.
Keywords: outer measure; measure; effect algebras; lattice ordered ... See more keywords
Division closed lattice-ordered rings and commutative L*-rings
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2018.1503201
Abstract: Abstract The paper continues the study of division closed lattice-ordered rings and commutative L*-rings. More interesting properties of division closed lattice-ordered rings are presented and it is shown that under certain conditions such rings are… read more here.
Keywords: rings commutative; division closed; ordered rings; lattice ordered ... See more keywords
On orderedΓ-hypersemigroups and their relation to lattice ordered semigroups
Sign Up to like & getrecommendations! Published in 2021 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-2101-23
Abstract: The concept of Γ -hypersemigroup has been introduced in Turk J Math 2020; 44 (5): 1835-1851 in which it has in which it has been shown that various results on Γ -hypersemigroups can be obtained… read more here.
Keywords: lattice ordered; ordered semigroups; poe semigroups; ordered hypersemigroups ... See more keywords