Results 241 to 250 of about 260,613 (297)
Some of the next articles are maybe not open access.
, 2010
In this chapter we present the most basic parts of the theory of lattice-ordered groups. Though our main concern will eventually be with abelian groups it is not appreciably harder to develop this material within the class of all groups. Moreover, the additional generality allows us to digress somewhat (if it is possible to digress before one begins ...
Stuart A. Steinberg
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In this chapter we present the most basic parts of the theory of lattice-ordered groups. Though our main concern will eventually be with abelian groups it is not appreciably harder to develop this material within the class of all groups. Moreover, the additional generality allows us to digress somewhat (if it is possible to digress before one begins ...
Stuart A. Steinberg
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, 1989
The definition of the free lattice-ordered group Fη of a given rank η is analogous to that of the free group Gη. Yet there are many questions which have the same “obvious” answers in both contexts, and for which the answers are very easy to confirm for free groups but not at all easy for free l-groups. We assume η > 1. Some questions: 1. Does Fη
S. McCleary
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The definition of the free lattice-ordered group Fη of a given rank η is analogous to that of the free group Gη. Yet there are many questions which have the same “obvious” answers in both contexts, and for which the answers are very easy to confirm for free groups but not at all easy for free l-groups. We assume η > 1. Some questions: 1. Does Fη
S. McCleary
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Uniformly Hyperarchimedean Lattice-Ordered Groups
Order, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hager, Anthony W., Kimber, Chawne M.
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Journal of Intelligent & Fuzzy Systems, 2018
The concept of lattice ordered fuzzy soft groups(l- FSGs) was instigated by J. Vimala and J. Arockia Reeta. In this present work, we define anti- lattice ordered fuzzy soft groups (anti- l-FSGs) and extend anti- l-FSGs matrix with appropriate examples ...
J. Reeta, Vimala Jayakumar
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The concept of lattice ordered fuzzy soft groups(l- FSGs) was instigated by J. Vimala and J. Arockia Reeta. In this present work, we define anti- lattice ordered fuzzy soft groups (anti- l-FSGs) and extend anti- l-FSGs matrix with appropriate examples ...
J. Reeta, Vimala Jayakumar
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Atomless Lattice-Ordered Groups
Canadian Mathematical Bulletin, 1994AbstractWe show the existence of atomless lattice-ordered groups which have doubly transitive representations. In so doing, we answer a question of M. Giraudet from 1981 [4].
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Varieties of lattice-ordered groups
Algebra and Logic, 1977This is a clearly written survey article; it has the following sections: \(\ell\)-varieties; lattice ordered groups with subnormal jumps; subdirect products of linearly ordered groups; rigid lattice ordered groups; the lattice of \(\ell\)-varieties; the semigroup of \(\ell\)-varieties; free \(\ell\)-groups; the identity problem; radical classes.
Kopytov, V. M., Medvedev, N. Ya.
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1994
A partially ordered group (po-group) is a non-empty set G with binary operation · and binary relation ≤ such that {G; · } is a group, {G; ≤ } is a po-set and the following axioms are fulfilled: $$ \begin{gathered} M.1\quad x \leqslant y\quad implies\quad xz \leqslant yz; \hfill \\ M.2\quad x \leqslant y\quad implies\quad zx \leqslant zy, \hfill \\ \
V. M. Kopytov, N. Ya. Medvedev
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A partially ordered group (po-group) is a non-empty set G with binary operation · and binary relation ≤ such that {G; · } is a group, {G; ≤ } is a po-set and the following axioms are fulfilled: $$ \begin{gathered} M.1\quad x \leqslant y\quad implies\quad xz \leqslant yz; \hfill \\ M.2\quad x \leqslant y\quad implies\quad zx \leqslant zy, \hfill \\ \
V. M. Kopytov, N. Ya. Medvedev
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σ-Interpolation Lattice-ordered groups
Czechoslovak Mathematical Journal, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Theory of Lattice-Ordered Groups
, 1994A disk brake, of the type embodying the brake disk in the hub of the vehicle wheel and especially a motorcycle wheel having: a ring-shaped brake disk supported by a ribbed disk of the hub; a brake plate axially movable but locked against rotation; fluid ...
M. Darnel
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