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Injective module
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== References == === Notes === {{Reflist}} === Textbooks === * {{Citation | last1=Anderson | first1=Frank Wylie | last2=Fuller | first2=Kent R | title=Rings and Categories of Modules | url=https://books.google.com/books?id=PswhrD_wUIkC | access-date=30 July 2016 | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=978-0-387-97845-1 | year=1992}} *{{Citation | last1=Enochs | first1=Edgar E. | last2=Jenda | first2=Overtoun M. G. | author2-link=Overtoun Jenda | title=Relative homological algebra | publisher=Walter de Gruyter & Co. | location=Berlin | series=de Gruyter Expositions in Mathematics | isbn=978-3-11-016633-0 |mr=1753146 | year=2000 | volume=30 | doi=10.1515/9783110803662}} *{{Citation | last1=Golan | first1=Jonathan S. | last2=Head | first2=Tom | title=Modules and the structure of rings | publisher=Marcel Dekker | series=Monographs and Textbooks in Pure and Applied Mathematics | isbn=978-0-8247-8555-0 | mr=1201818 | year=1991 | volume=147 | url-access=registration | url=https://archive.org/details/modulesstructure0000gola }} *{{Citation | last1=Lam | first1=Tsit-Yuen | title=Lectures on modules and rings | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Graduate Texts in Mathematics No. 189 | isbn=978-0-387-98428-5 |mr=1653294 | year=1999 | doi=10.1007/978-1-4612-0525-8}} *{{Citation | last1=Rotman | first1=Joseph J. | title=An introduction to homological algebra | publisher=[[Academic Press]] | location=Boston, MA | series=Pure and Applied Mathematics | isbn=978-0-12-599250-3 |mr=538169 | year=1979 | volume=85}} === Primary sources === *{{Citation | last1=Baer | first1=Reinhold | author1-link=Reinhold Baer | title=Abelian groups that are direct summands of every containing abelian group | doi=10.1090/S0002-9904-1940-07306-9 |mr=0002886 | zbl = 0024.14902 |year=1940 | journal=[[Bulletin of the American Mathematical Society]] | volume=46 | pages=800β807 | issue=10| doi-access=free }} *{{Citation | last1=Chase | first1=Stephen U. | title=Direct products of modules | doi=10.2307/1993382 |mr=0120260 | year=1960 | journal=[[Transactions of the American Mathematical Society]] | volume=97 | pages=457β473 | issue=3 | publisher=American Mathematical Society, Vol. 97, No. 3 | jstor=1993382| doi-access=free }} *{{Citation | last1=Dade | first1=Everett C. | author1-link=Everett C. Dade | title=Localization of injective modules | doi=10.1016/0021-8693(81)90213-1 |mr=617087 | year=1981 | journal=[[Journal of Algebra]] | volume=69 | issue=2 | pages=416β425| doi-access=free }} *{{Citation | last1=Eckmann | first1=B. | author1-link = Beno Eckmann | last2=Schopf | first2=A. | title=Γber injektive Moduln | doi=10.1007/BF01899665 | doi-access=free |mr=0055978 | year=1953 | journal=[[Archiv der Mathematik]] | volume=4 | pages=75β78 | issue=2}} *{{Citation | last1=Lambek | first1=Joachim | author1-link=Joachim Lambek | title=On Utumi's ring of quotients |mr=0147509 | year=1963 | journal=[[Canadian Journal of Mathematics]] | issn=0008-414X | volume=15 | pages=363β370 | url=http://www.cms.math.ca/cjm/v15/p363 | doi=10.4153/CJM-1963-041-4 | doi-access=free }} *{{Citation | last1=Matlis | first1=Eben | author1-link=Eben Matlis | title=Injective modules over Noetherian rings | mr=0099360 | year=1958 | journal=[[Pacific Journal of Mathematics]] | issn=0030-8730 | volume=8 | pages=511β528 | doi=10.2140/pjm.1958.8.511 | doi-access=free }} *{{Citation | last1=Osofsky | first1=B. L. | author-link = Barbara L. Osofsky | title=On ring properties of injective hulls |mr=0166227 | year=1964 | journal=[[Canadian Mathematical Bulletin]] | issn=0008-4395 | volume=7 | pages=405β413 | doi=10.4153/CMB-1964-039-3| doi-access=free }} *{{Citation | last1=Papp | first1=ZoltΓ‘n | title=On algebraically closed modules |mr=0121390 | year=1959 | journal=[[Publicationes Mathematicae Debrecen]] | issn=0033-3883 | volume=6 | pages=311β327}} *{{Citation | last1=Smith | first1=P. F. | title=Injective modules and prime ideals | doi=10.1080/00927878108822627 |mr=614468 | year=1981 | journal=Communications in Algebra | volume=9 | issue=9 | pages=989β999}} *{{Citation | last1=Utumi | first1=Yuzo | title=On quotient rings |mr=0078966 | year=1956 | journal=Osaka Journal of Mathematics | issn=0030-6126 | volume=8 | pages=1β18}} *{{Citation | last1=VΓ‘mos | first1=P. | title=Ideals and modules testing injectivity | doi=10.1080/00927878308822975 |mr=733337 | year=1983 | journal=Communications in Algebra | volume=11 | issue=22 | pages=2495β2505}} {{Authority control}} {{DEFAULTSORT:Injective Module}} [[Category:Homological algebra]] [[Category:Module theory]]
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