Titlebook: Commutative Algebra through Exercises; Andrea Bandini,Patrizia Gianni,Enrico Sbarra Textbook 2024 The Editor(s) (if applicable) and The Au

stratum-corneum

细微差别

Kumudhini Akasapu,Ramagopal V. S. Uppaluri (→ p. 272) Prove that a partial order relation > is a well-order on . if and only if every descending chain in . is stationary.

Eulogy

Agro and Food Processing Technologies (→p. 290) We say that a generating set of an .-module . is . if none of its proper subsets is still a generating set of ..

evince

Messaouda Benabdelkader,R. Saifi,H. Saifi (→ p. 319) Let . be a ring, and let ., ., and . be .-modules.

合并

增减字母法

Messaouda Benabdelkader,R. Saifi,H. Saifi (→ p. 345) Let . be a field, and let . be a .-vector space.

荧光

Felicitous

反应

庇护

RingsIn this chapter, we provide an introduction to the general theory of commutative rings with identity. We begin by reviewing fundamental concepts and properties related to such rings and their elements. We then proceed to discuss ring homomorphisms and homomorphism theorems, ideals and various operations commonly associated with them.