How Long to Read Structure of Algebras

How Long Does it Take to Read Structure of Algebras?

It takes the average reader 3 hours and 30 minutes to read Structure of Algebras by Abraham Adrian Albert

Assuming a reading speed of 250 words per minute. Learn more

Description

The first three chapters of this work contain an exposition of the Wedderburn structure theorems. Chapter IV contains the theory of the commutator subalgebra of a simple subalgebra of a normal simple algebra, the study of automorphisms of a simple algebra, splitting fields, and the index reduction factor theory. The fifth chapter contains the foundation of the theory of crossed products and of their special case, cyclic algebras. The theory of exponents is derived there as well as the consequent factorization of normal division algebras into direct factors of prime-power degree. Chapter VI consists of the study of the abelian group of cyclic systems which is applied in Chapter VII to yield the theory of the structure of direct products of cyclic algebras and the consequent properties of norms in cyclic fields. This chapter is closed with the theory of $p$-algebras. In Chapter VIII an exposition is given of the theory of the representations of algebras. The treatment is somewhat novel in that while the recent expositions have used representation theorems to obtain a number of results on algebras, here the theorems on algebras are themselves used in the derivation of results on representations. The presentation has its inspiration in the author's work on the theory of Riemann matrices and is concluded by the introduction to the generalization (by H. Weyl and the author) of that theory. The theory of involutorial simple algebras is derived in Chapter X both for algebras over general fields and over the rational field. The results are also applied in the determination of the structure of the multiplication algebras of all generalized Riemann matrices, a result which is seen in Chapter XI to imply a complete solution of the principal problem on Riemann matrices.

How long is Structure of Algebras?

Structure of Algebras by Abraham Adrian Albert is 210 pages long, and a total of 52,500 words.

This makes it 71% the length of the average book. It also has 64% more words than the average book.

How Long Does it Take to Read Structure of Algebras Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 46 minutes to read Structure of Algebras aloud.

What Reading Level is Structure of Algebras?

Structure of Algebras is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Structure of Algebras?

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