algebraic structure in a sentence
1) Algebraic structures occur as both discrete examples and continuous examples.
algebraic collocations
2) The axioms imposed above resemble the ones familiar from other algebraic structures .
3) As with other algebraic structures , there exist alternative axiomatizations.
algebraic structure example sentences
4) Not all algebraic structures in a wider sense fall into this scope.5) Universal algebra, in which properties common to all algebraic structures are studied.
6) Nearly all well-known algebraic structures other than Boolean algebras are undecidable.
7) Lattices can also be characterized as algebraic structures satisfying certain axiomatic identities.
8) This shows that the order on R is determined by its algebraic structure .
9) Lattices have some connections to the family of group-like algebraic structures .
10) Such number systems are predecessors to more general algebraic structures known as rings and fields.
11) This type of algebraic structure captures essential properties of both set operations and logic operations.
12) Hiley has pursued work on algebraic structures in quantum theory throughout his scientific career.
13) Additionally, it provides an algebraic structure to associate with hidden Markov models.
14) In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
15) A computer algebra system designed for computations in and with algebraic structures and substructures.
example sentences with algebraic structure
16) Boole conceived of "elective symbols" of his kind as an algebraic structure .17) Basic algebraic structures with such an addition operation include commutative monoids and abelian groups.
18) The algebraic structure of these transformations has been analysed by Geroch (1972).
19) One sign of re-organization was the use of direct sums to describe algebraic structure .
20) Homological algebra, the study of algebraic structures that are fundamental to study topological spaces.
21) In addition, in each example the restriction maps are homomorphisms of the corresponding algebraic structure .
22) This operation gives the symmetries of a polygon the algebraic structure of a finite group.
23) Important other algebraic structures such as rings arise when requiring only part of the above axioms.
24) There are a number of results that relate solvability of the word problem and algebraic structure .
25) The infinite dihedral group is an infinite group with algebraic structure similar to the finite dihedral groups.
26) In abstract algebra, the even integers form various algebraic structures that require the inclusion of zero.
27) Algebraic number theory is a major branch of number theory that studies algebraic structures related to algebraic integers.
28) As an algebraic structure , every field is a ring, but not every ring is a field.
How to use algebraic structure in a sentence
29) This is a very general setting for formulating the word problem for the presentation of an algebraic structure .30) One way is to elaborate the geometric or algebraic structure of factor analysis as part of a theory.
31) This Lie algebra is a much simpler object, a finite dimensional vector space with a certain algebraic structure .
32) The algebraic structure of equivalence relations builds on transformation groups; that of order relations builds on lattice theory.
33) Universal algebra studies structures that generalize the algebraic structures such as groups, rings, fields and vector spaces.
34) Abstract algebra, in which algebraic structures such as groups, rings and fields are axiomatically defined and investigated.
35) In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.
36) For example, continuous lattices can be characterized as algebraic structures (with infinitary operations) satisfying certain identities.
37) In abstract algebra, a skew lattice is an algebraic structure that is a non-commutative generalization of a lattice.
38) Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers.
39) This algebraic structure may be thus considered as the quantum analog of the "canonical structure" of classical mechanics.
40) The study of semigroups trailed behind that of other algebraic structures with more complex axioms such as groups or rings.
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