Linear Algebra: 006 Vector Spaces I Algebraic Structures

[MonkeyDLuffy-gdse]

Professor, at 42:13 talking about fields, in particular the definition given, a) and b) should be exactly like that of in a ring no? because in that definition we don't necessarily state that a) and b) hold for the zero element which it should. So shouldnt that definitioln use for a and b just F and not F*