Title
Algebra II Ring Theory: Vol. 2: Ring Theory,Used
Delivery time: 8-12 business days (International)
From Math This is the second in a two volume set. It is composed of ten chapters labeled 17 through 26 (the first 16 chapters are in Volume 1). Chapter 17 studies the lattice of submodules of a module over an associative ring, with such theorems as the JordanHlder, Fittings, and Levitzkis'. Chapter 18 begins by introducing the Jacobson radical of a module, small submodules, decomposition into direct sums la Remak, Krull, Schmidt and finishes with semiperfect rings. The material in Chapter 19 concerns quasiinjective modules and their endomorphism rings. It is in this setting that the Jacobson density theorem is given, von Neuman regular rings, rational extensions and maximal quotient rings are introduced, and the Goldie theorems are proved. QI rings are also studied in this chapter. Chapter 20 begins with the theorems on how the chain conditions relate to the cardinality of the summands of direct sum decompositions of injectives. Next Chatter's theorem on the decomposition of Noetherian rings into semiprime and Artinian rings is given. The chapter concludes with a section on valuation and almost maximal valuation rings. Chapter 21 deals with direct sums of modules, each of which has a local endomorphism ring, hence Azumaya type uniqueness theorems on summands of infinite direct sums of indecomposable modules. Chapter 22 is devoted to perfect rings. The subject of dualities between module categories is extensively studied in Chapter 23. The basic results on quasiFrobenius rings are given in Chapter 24. Chapter 25 begins with Warfield's structure theorem of serial rings, then gives Nakayama's structure theorem for Artinian serial rings (generalized uniserial). Next is a look at rings for which every finitely generated module is the direct sum of cyclic modules and finally the EisenbudGriffithRobson theorem. Chapter 26 contains the classical descriptions of the prime and Jacobson radicals. It also contains Amitsur's theorem.
By changing our most important processes and
products, we have already made a big leap forward. This ranges from the
increased use of more sustainable fibers to the use of more
environmentally friendly printing processes to the development of
efficient waste management in our value chain.
⚠️ WARNING (California Proposition 65):
This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
For more information, please visit www.P65Warnings.ca.gov.
Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
Shipping & Returns
Shipping
We ship your order within 2–3 business days for USA deliveries and 5–8 business days for international shipments. Once your package has been dispatched from our warehouse, you'll receive an email confirmation with a tracking number, allowing you to track the status of your delivery.
Returns
To facilitate a smooth return process, a Return Authorization (RA) Number is required for all returns. Returns without a valid RA number will be declined and may incur additional fees. You can request an RA number within 15 days of the original delivery date. For more details, please refer to our Return & Refund Policy page.
Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
Warranty
We provide a 2-year limited warranty, from the date of purchase for all our products.
If you believe you have received a defective product, or are experiencing any problems with your product, please contact us.
This warranty strictly does not cover damages that arose from negligence, misuse, wear and tear, or not in accordance with product instructions (dropping the product, etc.).
Secure Payment
Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.
Secure Payment
Your payment information is processed securely. We do not store credit card details nor have access to your credit card information.
We accept payments with :
Visa, MasterCard, American Express, Paypal, Shopify Payments, Shop Pay and more.