Category talk:Algebra

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Algebra category vs. Abstract algebra[edit]

'What is to the be the distinction between what we put here and what we put in "Category:Abstract algebra"?'

I suppose if the topic deals with something abstractly enough, you'd put it in Abstract algebra. If you read Abstract algebra, it may give you a guideline too. Dysprosia 22:30, 3 Jun 2004 (UTC)
Abstract algebra isn't just different algebra, it's something that resembles algebra but it isn't really. It resembles algebra because both use strictly enforced rules to transform one expression into another, and the expressions have symbols representing variables, perhaps constants, and operations on their values. But the variables and operations in an abstract algebra aren't necessarily numeric, and therefor the rules for manipulating expressions are accordingly different. Examples: A Boolean algebra has variables having either the value "true" or "false", the operations include "and", "or" and "not", and the rules include De Morgan's laws. Permutation groups are an abstract algebra that isn't commutative. Applications: Scientists and engineers depend on algebra, but abstract algebra is used mainly to employ professors and justify research grants. Exceptions: Rubik's cube (but that's a game), quarks (but only to describe the symmetry), and computer programmers (who really can use De Morgan's laws). Art LaPella 17:07, 1 October 2005 (UTC)Reply[reply]
Abstract algebra is not high school algebra instead it is analysis of abstract systems. I can use it in a lot of ways. I could it in geometry. There are all of kinds of ways. Clemans 20:25, 21 December 2005 (UTC)Reply[reply]
Abstract algebra is a flavor of algebra. Mathematicians consider "algebra" to include many kinds of algebra, some of which are more abstract and some less. I find the current separate categorization into "Algebra" and "Abstract algebra" confusing and unsystematic. Why is algebraic geometry in the category "Algebra" but algebraic number theory in "Abstract algebra"? There are many such questions. Suggestion: Either get systematic, or put all "Abstract algebra" articles into the category "Algebra". Zaslav 12:34, 20 March 2007 (UTC)Reply[reply]


what is the one thousant prime number? the one thousanth prime number is 1

find the rational roots of 3x^3+2x^2+x+1=0 Italic text — Preceding unsigned comment added by (talk) 11:47, 3 March 2015 (UTC)Reply[reply]