How Long to Read Axioms for Lattices and Boolean Algebras

How Long Does it Take to Read Axioms for Lattices and Boolean Algebras?

It takes the average reader 3 hours and 57 minutes to read Axioms for Lattices and Boolean Algebras by Ranganathan Padmanabhan

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

Description

The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of ?join and meet? or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems. A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices. Here, the celebrated problem of E V Huntington is addressed, which ? according to G Gratzer, a leading expert in modern lattice theory ? is one of the two problems that shaped a century of research in lattice theory. Among other things, it is shown that there are infinitely many non-modular lattice identities that force a uniquely complemented lattice to be Boolean, thus providing several new axiom systems for Boolean algebras within the class of all uniquely complemented lattices. Finally, a few related lines of research are sketched, in the form of appendices, including one by Dr Willian McCune of the University of New Mexico, on applications of modern theorem-proving to the equational theory of lattices.

How long is Axioms for Lattices and Boolean Algebras?

Axioms for Lattices and Boolean Algebras by Ranganathan Padmanabhan is 229 pages long, and a total of 59,311 words.

This makes it 77% the length of the average book. It also has 72% more words than the average book.

How Long Does it Take to Read Axioms for Lattices and Boolean Algebras Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 24 minutes to read Axioms for Lattices and Boolean Algebras aloud.

What Reading Level is Axioms for Lattices and Boolean Algebras?

Axioms for Lattices and Boolean 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 Axioms for Lattices and Boolean Algebras?

Axioms for Lattices and Boolean Algebras by Ranganathan Padmanabhan is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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