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Vague ideals of implication groupoids

Ravi Kumar Bandaru, K.P. Shum (2013)

Discussiones Mathematicae - General Algebra and Applications

We introduce the concept of vague ideals in a distributive implication groupoid and investigate their properties. The vague ideals of a distributive implication groupoid are also characterized.

Valuations on modular lattices

Ján Jakubík (1991)

Mathematica Bohemica

It is well-known that there exist infinite modular lattices possessing no non-trivial valuations. In this paper a class 𝒦 of modular lattices is defined and it is proved that each lattice belonging to 𝒦 has a nontrivial valuation. Next, a result of G . Birkhoff concerning valuations on modular lattices of finite length is generalized.

Valued Groups.

Mikko Saarimäki, Pekka Sorjonen (1992)

Mathematica Scandinavica

Varieties of Distributive Rotational Lattices

Gábor Czédli, Ildikó V. Nagy (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

A rotational lattice is a structure L ; , , g where L = L ; , is a lattice and g is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.

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