# Tagged Questions

81 views

### Cardano, Descartes, Linear Equations and polynomials of degree greater than 3 [closed]

How would you describe the physical significance of algebraic equations of degree $> 3$, and generally of polynomials of degree $> 3$ ? One line of thought is that $x$ is length, $x^2$ is area ...
83 views

### Finitely generated ideal in Boolean ring; how do we motivate the generator?

This problem is Exercise 11.3 in Atiyah/Macdonald Commutative Algebra. They ask to prove every finitely generated ideal in a Boolean ring is in fact a principal ideal. The question has been answered ...
146 views

### What motivates the study of Abelian groups?

Monoids arise naturally as endomorphism monoids, and groups arise naturally as automorphism groups. These are among the primary motivators for their study, in my opinion. What are the (main) ...
A lattice $(L,\leq)$ is said to be modular when $$(\forall a,b\in L) x \leq b \implies x \vee (a \wedge b) = (x \vee a) \wedge b,$$ where $\vee$ is the join operation, and $\wedge$ is the meet ...