yes
When focusing upon abstract algebra, there are many different areas included within this topic such as groups, rings, modules and vector space. These all are part of the sequence to constructing abstract algebra.
Linear algebra concerns vector spaces whether finite- or infinite-dimensional. Abstract algebra, or modern algebra, includes linear algebra, along with many other kinds of objects, such as groups, rings, fields, lattices, and so on. In part, it was an attempt to put mathematics on a more rigorous footing. Please see the links.
S5 is indecomposable
It isn't; the algebra 1 and 2 that you get taught in middle or high school is elementary algebra. When (if you want to) you get into more advanced algebra, you can learn linear algebra (matrix algebra) and abstract algebra (which involves sets, operations on sets, groups, and many more concepts), and probably several more types of algebra I've never heard of.
Edward M'William Patterson has written: 'Elementary abstract algebra' -- subject(s): Algebra 'Elementary abstract algebra [by] E.M. Patterson [and] D.E. Rutherford' -- subject(s): Abstract Algebra, Algebra, Abstract
yes
John A. Beachy has written: 'Abstract algebra' -- subject(s): Abstract Algebra, Algebra, Abstract 'Introductory lectures on rings and modules' -- subject(s): Modules (Algebra), Noncommutative rings
Gertrude Ehrlich has written: 'Fundamental concepts of abstract algebra' -- subject(s): MATHEMATICS / Algebra / Abstract, Abstract Algebra 'Fundamental concepts of abstract algebra' -- subject(s): Abstract Algebra 'Fundamental concepts of abstract algebra' -- subject(s): MATHEMATICS / Algebra / Abstract, Abstract Algebra
Dennis Kletzing has written: 'Abstract algebra' -- subject(s): Abstract Algebra
George Mackiw has written: 'Applications of abstract algebra' -- subject(s): Abstract Algebra
Abstract algebra is a field of mathematics that studies groups, fields and rings, which all belong to algebraic structures. Algebraic structure and abstract algebra are actually close to each other due to their similarity in topics.
When focusing upon abstract algebra, there are many different areas included within this topic such as groups, rings, modules and vector space. These all are part of the sequence to constructing abstract algebra.
Gary D. Crown has written: 'Abstract algebra' -- subject(s): Abstract Algebra
John W. Keesee has written: 'Elementary abstract algebra' -- subject(s): Abstract Algebra
yes, also this question belongs in the linear algebra forum not the abstract algebra forum
D. S. Malik has written: 'Java Programming' 'Java programming' -- subject(s): Java (Computer program language) 'Fundamentals of abstract algebra' -- subject(s): Abstract Algebra, Algebra, Abstract 'C++ Programming'