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Associated and weakly associated prime elements and primary decomposition in lattice modules
Springer Science and Business Media LLC - Tập 25 - Trang 196-209 - 1988
H. M. Nakkar, D. D. Anderson
Some characterizations of the commutator
Springer Science and Business Media LLC - Tập 29 - Trang 61-78 - 1992
A. Day, H. P. Gumm
We start with a characterization of the modular commutator that was given by E. Kiss and the first author in [DK] and explore some of its consequences. Implicit in this characterization is that both the shifting lemma and the cube lemma from [Gu] yield descriptions of the commutator in terms of implications of identities. The shifting lemma translates into the well known term condition and the cub... hiện toàn bộ
Varieties of abelian topological groups with coproducts
Springer Science and Business Media LLC - Tập 74 - Trang 241-251 - 2015
Saak S. Gabriyelyan, Arkady G. Leiderman, Sidney A. Morris
Varieties of groups, introduced in the 1930s by Garret Birkhoff and B.H. Neumann, are defined as classes of groups satisfying certain laws or equivalently as classes of groups closed under the formation of subgroups, quotient groups, and arbitrary cartesian products. In the 1960s the third author introduced varieties of topological groups as classes of (not necessarily Hausdorff) topological group... hiện toàn bộ
The variety generated by equivalence algebras
Springer Science and Business Media LLC - Tập 45 - Trang 211-219 - 2001
J. Ježek, R. McKenzie
Every equivalence relation can be made into a groupoid with the same underlying set if we define the multiplication as follows: xy = x if x,y are related; otherwise, xy = y. The groupoids, obtained in this way, are called equivalence algebras. We find a finite base for the equations of equivalence algebras. The base consists of equations in four variables, and we prove that there is no base consis... hiện toàn bộ
n-Permutable varieties satisfy non trivial congruence identities
Springer Science and Business Media LLC - - 1995
Paolo Lipparini
Optimal strong Mal’cev conditions for omitting type 1 in locally finite varieties
Springer Science and Business Media LLC - Tập 72 - Trang 91-100 - 2014
Keith Kearnes, Petar Marković, Ralph McKenzie
We show that the class of locally finite varieties omitting type 1 has the following properties. This class is:... hiện toàn bộ
Equivalence à la Mundici for commutative lattice-ordered monoids
Springer Science and Business Media LLC - Tập 82 - Trang 1-42 - 2021
Marco Abbadini
We provide a generalization of Mundici’s equivalence between unital Abelian lattice-ordered groups and MV-algebras: the category of unital commutative lattice-ordered monoids is equivalent to the category of MV-monoidal algebras. Roughly speaking, unital commutative lattice-ordered monoids are unital Abelian lattice-ordered groups without the unary operation $$x \mapsto -x$$ . The primitive operat... hiện toàn bộ
Congruence lattices of locally finite algebras
Springer Science and Business Media LLC - Tập 54 Số 2 - Trang 237-248 - 2005
Keith A. Kearnes
Subfunctors of full embeddings of algebraiccategories
Springer Science and Business Media LLC - Tập 12 - Trang 271-278 - 1981
M. E. Adams, J. Sichler
Affine completeness of Kleene algebras
Springer Science and Business Media LLC - Tập 37 - Trang 477-490 - 1997
M. Haviar, K. Kaarli, M. Ploščica
An algebra is called affine complete if all its compatible (i.e. congruence-preserving) functions are polynomial functions. In this paper we characterize affine complete members in the variety of Kleene algebras. We also characterize local polynomial functions of Kleene algebras and use this result to describe locally affine complete Kleene algebras.
Tổng số: 1,981   
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