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| Title: | ABSTRACT ALGEBRA II |
| Authors: | FUOYE |
| Keywords: | Cayley's theorems.
degree of an extension,
Algebraic and transcendental extensions
quotient groups |
| Issue Date: | 24-Feb-2015 |
| Abstract: | Normal subgroups and quotient groups. Monomorphic isomorphism theorems. Cayley's theorems.
Direct products. Groups of sma1l order. Group acting on sets. Sylow theorems. Ideal and quotient
rings. P.I.D. 8, U.F.D ’S euclides rings. Irreducibility; Field extensions, degree of an extension,
minmum polynomial. Algebraic and transcendental extensions. Straight edged and compass
constructions. |
| Description: | Normal subgroups and quotient groups. Monomorphic isomorphism theorems. Cayley's theorems.
Direct products. Groups of sma1l order. Group acting on sets. Sylow theorems. Ideal and quotient
rings. P.I.D. 8, U.F.D ’S euclides rings. Irreducibility; Field extensions, degree of an extension,
minmum polynomial. Algebraic and transcendental extensions. Straight edged and compass
constructions. |
| URI: | http://repository.fuoye.edu.ng/handle/123456789/207 |
| Appears in Collections: | Mathematics Course Outline
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