16 Associative rings and algebras

See MSC 16 on zbMATH Open.

Name	Tag	Kind	MSC
Quotient ring	0076HWHGHQ	concept	16D25
Zero ring	008TBCYDPX	example	16B99
Unit of a ring	019NFGFPR5	definition	16U60
Free module	02E1T12PP4	definition	16D40, 13C10
External direct sum	02WZB422CE	definition	15A03, 16D10
Finitely generated module	05QY1VEBYD	concept	13E15, 16D10
Group of units of a ring	05THZKR9AN	definition	16U60
Submodule	05WDSN597C	concept	16D10
Third isomorphism theorem for rings	073C80EC63	statement	16D25
Group of units of a ring	07C6ECNJET	concept	16U60
Third isomorphism theorem for vector spaces	07RB3EMBWW	statement	15A03, 16D10
Subring	0859D58WPD	definition	16B99
Ring	0894J980RK	definition	16B99
Module over a ring	09VDS2W1E8	definition	16D10, 13C05
Kernel of a ring homomorphism	0AAHE7GEW6	definition	16B99
Second isomorphism theorem for vector spaces	0APN65D6Y6	statement	15A03, 16D10
Ring	0B1261B5ED	concept	16B99
Ring isomorphism	0B6QC0C0G1	definition	16B99
Two-sided ideal	0CD87SFM2N	concept	16D25
Correspondence theorem for rings	0D1R4SVMBQ	statement	16D25
Two-sided ideal	0DDA6CY7GJ	definition	16D25
Free module	0DZ9DKAKZR	concept	16D40, 13C10
Algebra of endomorphisms	0E3X2G1ZQB	object	15A04, 16S50
Matrix ring	0FHVPRAE60	object	15A99, 16S50
The quaternions	0GE4DVQKR8	example	16K20
Ring homomorphism	0GGE0Z0JQ1	definition	16B99
Subring	0GNCRPYXYV	concept	16B99
Second isomorphism theorem for rings	0HJ4DTW6FN	statement	16D25
Kernel of a ring homomorphism	0JN0SQG2JH	concept	16B99
Zero divisor	0K26YKNBSA	definition	16U99
Ring isomorphism	0KN2S81K72	concept	16B99
A ring homomorphism is injective iff its kernel is zero	0MMCB8RXGA	statement	16B99
Product of rings	0MNZCN4BQK	definition	16B99
First isomorphism theorem for linear maps	0MTBGVZ4XJ	statement	15A04, 16D10
Idempotent element	0N5NJZKKN3	concept	16U40
Nilpotent element	0N9R5NN6TW	definition	16N40
Zero divisor	0NNRDW10RZ	concept	16U99
Module over a ring	0NZ8JA25WK	concept	16D10, 13C05
Product of rings	0QM2G72DXA	concept	16B99
Universal property of the quotient ring	0R74MZYNRB	statement	16D25
Submodule	0RGZ10DFPG	definition	16D10
External direct sum	0S7W6EG32V	concept	15A03, 16D10
Quotient ring	0VFW4Y69BT	definition	16D25
Ring homomorphism	0VTH8KPCG2	concept	16B99
Idempotent element	0X4JKZXJ86	definition	16U40
Finitely generated module	0XHM30WBVB	definition	13E15, 16D10
Unit of a ring	0XVEZDE9J8	concept	16U60
Nilpotent element	0ZB2JG1M9C	concept	16N40
First isomorphism theorem for rings	0ZMYX7GMH0	statement	16D25