Abelian in a sentence
Synonym: commutative.
Meaning: Relating to a mathematical group that is commutative.
(1) The abelian group is closed under addition.
(2) An abelian group is closed under subtraction.
(3) The abelian group has a cancellation property.
(4) An abelian category has well-behaved morphisms.
(5) An abelian lattice satisfies the idempotent law.
(6) The abelian group is isomorphic to its dual group.
(7) An abelian semigroup satisfies the associative law.
(8) An abelian semiring satisfies the distributive law.
(9) An abelian ring is commutative under multiplication.
(10) An abelian semigroup is associative and commutative.
Abelian sentence
(11) Quantum chromodynamics is a non-Abelian gauge theory.
(12) An abelian monoid is both commutative and associative.
(13) The abelian property holds for all elements in the set.
(14) An abelian lattice has a unique meet and join operation.
(15) The abelian group has a unique inverse for each element.
(16) An abelian semiring is both commutative and distributive.
(17) The abelian property allows for the interchange of terms.
(18) The abelian property guarantees the existence of inverses.
(19) The abelian property allows for the rearrangement of terms.
(20) The abelian property allows for the interchange of elements.
Abelian make sentence
(21) The abelian group is closed under the operation of addition.
(22) The abelian property ensures the existence of a zero element.
(23) An abelian monoid is a commutative and associative semigroup.
(24) An abelian category has well-defined composition of morphisms.
(25) The abelian property ensures the existence of a unity element.
(26) The abelian ring satisfies the associative and commutative laws.
(27) An abelian group is closed under the operation of multiplication.
(28) The abelian property guarantees the existence of a neutral element.
(29) The endomorphisms of a finite abelian group form a commutative ring.
(30) The abelian category is a fundamental concept in algebraic geometry.
Sentence of abelian
(31) The abelian surface is a complex surface that has a certain type of symmetry.
(32) The abelian integral is a type of integral that arises in algebraic geometry.
(33) The abelian variety is a complex torus that has additional algebraic structure.
(34) The abelian function is a function that satisfies certain algebraic properties.
(35) The abelian group is a group in which the order of the elements does not matter.
(36) An abelian group is a mathematical structure that satisfies the commutative property.
(37) The abelian sandpile model is a mathematical model used to study self-organized criticality.
(38) The automorphism group of a finite abelian group is isomorphic to a direct product of cyclic groups.
Abelian meaning
Abelian is an adjective that is used to describe a mathematical concept that is related to the commutativity of a group. Specifically, an Abelian group is a group in which the order of the elements does not matter when performing the group operation. This means that if you have two elements a and b in an Abelian group, then a * b = b * a. If you are studying mathematics or are interested in learning more about Abelian groups, there are several tips that can help you use this word correctly in a sentence.
1. Understand the definition: Before you can use the word Abelian in a sentence, it is important to understand what it means. Take the time to read up on the concept of Abelian groups and make sure you have a clear understanding of the definition.
2. Use it in context: When using the word Abelian in a sentence, it is important to use it in the correct context.
For example, you might say "The group G is Abelian" to indicate that the group G satisfies the commutativity property.
3. Be precise: When discussing mathematical concepts, precision is key. Make sure that you are using the word Abelian correctly and that you are not confusing it with other related concepts.
4. Use examples: To help illustrate the concept of Abelian groups, it can be helpful to use examples in your sentences.
For example, you might say "The integers under addition form an Abelian group" to show how the concept applies in a specific case.
5. Practice: Like any new vocabulary word, the best way to become comfortable using the word Abelian is to practice using it in sentences. Try writing out sentences that use the word correctly and ask a teacher or tutor to review them for accuracy.
Overall, using the word Abelian correctly in a sentence requires a solid understanding of the concept and a commitment to precision and accuracy. With practice and attention to detail, you can become comfortable using this word in your mathematical writing and discussions.
The word usage examples above have been gathered from various sources to reflect current and historical usage of the word Abelian. They do not represent the opinions of TranslateEN.com.