# abstract algebra in a sentence

1) The second example is for college undergraduates learning

**abstract**

**algebra**.

algebra collocations

2) Here are listed fundamental concepts in

**abstract**

**algebra**.

3) This concerns number theory and

**abstract**

**algebra**.

## abstract **algebra** example sentences

4) Boolean **algebra**is a mathematically rich branch of

**abstract**

**algebra**.

5) These groups are predecessors of important constructions in

**abstract**

**algebra**.

6) Almost all structures in

**abstract**

**algebra**are special cases of groups.

7) General binary operations that have similar properties are studied in

**abstract**

**algebra**.

8) This phenomenon can best be described using the vocabulary of

**abstract**

**algebra**.

9) Both rules are wholly familiar from school mathematics and from

**abstract**

**algebra**generally.

10) An alternate approach to the semantics of first-order logic proceeds via

**abstract**

**algebra**.

11) Two of the most basic objects in

**abstract**

**algebra**are groups and rings.

12) The 19th century saw the beginning of a great deal of

**abstract**

**algebra**.

13) In

**abstract**

**algebra**, one distinguishes between "polynomials" and "polynomial functions".

14)

**Abstract**

**algebra**is a major area in advanced mathematics, studied primarily by professional mathematicians.

15) In mathematics and

**abstract**

**algebra**, group theory studies the algebraic structures known as groups.

### example sentences with **abstract** **algebra**

16) In **abstract**

**algebra**, field extensions are the main object of study in field theory.

17) Exponentiation for integer exponents can be defined for quite general structures in

**abstract**

**algebra**.

18) Algebraic topology uses tools from

**abstract**

**algebra**to study these topological spaces, she says.

19) Theorems of

**abstract**

**algebra**are powerful because they are general; they govern many systems.

20) In the language of

**abstract**

**algebra**, a linear map is a homomorphism of modules.

21) In

**abstract**

**algebra**, a Boolean

**algebra**or Boolean lattice is a complemented distributive lattice.

22) He published three mathematics papers between 1973 and 1980, in the field of

**abstract**

**algebra**.

23) Algebraic logic uses the methods of

**abstract**

**algebra**to study the semantics of formal logics.

24) Homological

**algebra**is category theory in its aspect of organising and suggesting manipulations in

**abstract**

**algebra**.

25) He almost singlehandedly founded complex analysis and initiated the study of permutation groups in

**abstract**

**algebra**.

26) In

**abstract**

**algebra**, localization is a systematic method of adding multiplicative inverses to a ring.

27) Right now, I am studying

**abstract**

**algebra**and Mathematical Logic on my own.

28) Also, Logic and

**abstract**

**algebra**are used to formalize and verify programs and programming languages.

#### How to use **abstract** **algebra** in a sentence

29) In **abstract**

**algebra**, the even integers form various algebraic structures that require the inclusion of zero.

30) Algebraic topology is a branch of mathematics that uses tools from

**abstract**

**algebra**to study topological spaces.

31) An operation "d" with these two properties is known in

**abstract**

**algebra**as a derivation.

32) Despite this they are unpopular in

**abstract**

**algebra**, where most spectral sequences come from filtered complexes.

33) In

**abstract**

**algebra**, the derivative is interpreted as a morphism of modules of Kähler differentials.

34)

**Abstract**

**algebra**extends the familiar concepts found in elementary

**algebra**and arithmetic of numbers to more general concepts.

35) Examples include Linear Algebra,

**abstract**

**algebra**, and Group Theory, among others.

36) Such approach requires, for example, that elements of number theory should be taught before

**abstract**

**algebra**.

37) Recursion theory overlaps with proof theory, effective descriptive set theory, model theory, and

**abstract**

**algebra**.

38) In

**abstract**

**algebra**, more general structures are defined by relaxing some of the axioms defining a group.

39) More generally,

**abstract**

**algebra**makes great use of matrices with entries in a ring "R".

40) In

**abstract**

**algebra**, one uses homology to define derived functors, for example the Tor functors.

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