Use "Abelian" in a sentence | "Abelian" sentence examples

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.

In the remaining portion of this article, additional example sentences are presented to demonstrate the usage of the term "Abelian" within sentences.

"Abelian"

(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) The abelian group has a unique identity element.

(6) An abelian lattice satisfies the idempotent law.

(7) The abelian group is isomorphic to its dual group.

(8) An abelian semigroup satisfies the associative law.

(9) An abelian semiring satisfies the distributive law.

(10) An abelian semigroup has a unique identity element.

Sentence For "Abelian"

(11) An abelian ring is commutative under multiplication.

(12) An abelian semigroup is associative and commutative.

(13) Quantum chromodynamics is a non-Abelian gauge theory.

(14) An abelian monoid is both commutative and associative.

(15) The abelian property holds for all elements in the set.

(16) The abelian ring has a multiplicative identity element.

(17) An abelian lattice has a unique meet and join operation.

(18) The abelian group has a unique inverse for each element.

(19) An abelian semiring is both commutative and distributive.

(20) The abelian property allows for the interchange of terms.

"Abelian" In A Sentence

(21) The abelian property guarantees the existence of inverses.

(22) The abelian property allows for the rearrangement of terms.

(23) The abelian property allows for the interchange of elements.

(24) The abelian group is closed under the operation of addition.

(25) The abelian property ensures the existence of a zero element.

(26) An abelian monoid is a commutative and associative semigroup.

(27) An abelian category has well-defined composition of morphisms.

(28) The abelian property ensures the existence of a unity element.

(29) The abelian ring satisfies the associative and commutative laws.

(30) An abelian group is closed under the operation of multiplication.

"Abelian" Sentence

(31) The abelian property guarantees the existence of a neutral element.

(32) The endomorphisms of a finite abelian group form a commutative ring.

(33) The abelian category is a fundamental concept in algebraic geometry.

(34) The abelian surface is a complex surface that has a certain type of symmetry.

(35) The abelian integral is a type of integral that arises in algebraic geometry.

(36) The abelian variety is a complex torus that has additional algebraic structure.

(37) The abelian function is a function that satisfies certain algebraic properties.

(38) The abelian group is a group in which the order of the elements does not matter.

(39) The abelian Lie algebra is a Lie algebra that satisfies the commutator identity.

(40) An abelian group is a mathematical structure that satisfies the commutative property.

"Abelian" Sentence Examples

(41) The abelian sandpile model is a mathematical model used to study self-organized criticality.

(42) The automorphism group of a finite abelian group is isomorphic to a direct product of cyclic groups.

Learning English Faster Through Complete Sentences With "Abelian"

Sentences are everywhere.
Without sentences, language doesn’t really work.

When you first started learning English, you may have memorized words such as English meaning of the word "Abelian"; But now that you have a better understanding of the language, there’s a better way for you to learn meaning of "Abelian" through sentence examples.

True, there are still words that you don’t know. But if you learn whole sentences with "Abelian", instead of the word "Abelian" by itself, you can learn a lot faster!

Focus Your English Learning On Sentences With "Abelian".

Why Is Focusing on Sentences Important?
Sentences are more than just strings of words. They’re thoughts, ideas and stories. Just like letters build words, words build sentences. Sentences build language, and give it personality.

Again, without sentences, there’s no real communication. If you were only reading words right now, you wouldn’t be able to understand what I’m saying to you at all.

- The Word "Abelian" in Example Sentences.
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- 20 examples of simple sentences "Abelian".

All the parts of speech in English are used to make sentences. All sentences include two parts: the subject and the verb (this is also known as the predicate). The subject is the person or thing that does something or that is described in the sentence. The verb is the action the person or thing takes or the description of the person or thing. If a sentence doesn’t have a subject and a verb, it is not a complete sentence (e.g., In the sentence “Went to bed,” we don’t know who went to bed).

Four Types Of Sentence Structure.

Simple Sentences With "Abelian"

A simple sentence with "Abelian"contains a subject and a verb, and it may also have an object and modifiers. However, it contains only one independent clause.

Compound Sentences With "Abelian"

A compound sentence with "Abelian" contains at least two independent clauses. These two independent clauses can be combined with a comma and a coordinating conjunction or with a semicolon.

Complex Sentences With "Abelian"

A complex sentence with "Abelian" contains at least one independent clause and at least one dependent clause. Dependent clauses can refer to the subject (who, which) the sequence/time (since, while), or the causal elements (because, if) of the independent clause.

Compound-Complex Sentences With "Abelian"

Sentence types can also be combined. A compound-complex sentence with "Abelian" contains at least two independent clauses and at least one dependent clause.