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pro vyhledávání: '"Ibrahim Assem"'
This first part of a two-volume set offers a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The authors present this topic from the perspective of linear representations of f
Autor:
Ibrahim Assem
Publikováno v:
Advances in Representation Theory of Algebras. :1-35
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b51d6cbba23b288199731aeecb81627
https://doi.org/10.1090/conm/761/15306
https://doi.org/10.1090/conm/761/15306
Autor:
Ibrahim Assem, Flávio U. Coelho
Module theory is a fundamental area of algebra, taught in most universities at the graduate level. This textbook, written by two experienced teachers and researchers in the area, is based on courses given in their respective universities over the las
Publikováno v:
Contemporary Mathematics ISBN: 9781470451592
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd80b2b792de171244494ce5edd4aa9b
https://doi.org/10.1090/conm/761
https://doi.org/10.1090/conm/761
Autor:
Ibrahim Assem, Flávio U. Coelho
Publikováno v:
Graduate Texts in Mathematics ISBN: 9783030351175
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c5de766b8bf7874cb4508faaee33375b
https://doi.org/10.1007/978-3-030-35118-2_5
https://doi.org/10.1007/978-3-030-35118-2_5
Autor:
Ibrahim Assem, Flávio U. Coelho
Publikováno v:
Graduate Texts in Mathematics ISBN: 9783030351175
As in Chapter I, we let k be an arbitrary (commutative) field. Our algebras are finite dimensional k-algebras, associative and with an identity. The main working tool in this book is the notion of almost split sequences. It arose from an attempt to u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::87fb627877035e7b8f693f9e11f8508e
https://doi.org/10.1007/978-3-030-35118-2_2
https://doi.org/10.1007/978-3-030-35118-2_2
Autor:
Flávio U. Coelho, Ibrahim Assem
Publikováno v:
Graduate Texts in Mathematics ISBN: 9783030351175
The previous chapter was mainly of a theoretical nature: we defined irreducible morphisms and almost split sequences and started to explore their use for the understanding of the radical of a module category. However, we did not say much about the ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1134b32aeb4cc1d9b043262c8e90af69
https://doi.org/10.1007/978-3-030-35118-2_3
https://doi.org/10.1007/978-3-030-35118-2_3
Autor:
Ibrahim Assem, Flávio U. Coelho
Publikováno v:
Graduate Texts in Mathematics ISBN: 9783030351175
In this book, we assume that the reader has some familiarity with the classical theory of algebras and modules, category theory and homological algebra, such as can be gained from most textbooks in these areas. The first section of this chapter is de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa68227ed78fc8fa33b730f6682b5d4e
https://doi.org/10.1007/978-3-030-35118-2_1
https://doi.org/10.1007/978-3-030-35118-2_1
Autor:
Ibrahim Assem, Flávio U. Coelho
Publikováno v:
Graduate Texts in Mathematics ISBN: 9783030351175
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6567385379e7436318b60a35e7bb94d
https://doi.org/10.1007/978-3-030-35118-2
https://doi.org/10.1007/978-3-030-35118-2
Autor:
Ibrahim Assem, Flávio U. Coelho
Publikováno v:
Graduate Texts in Mathematics ISBN: 9783030351175
Let A be a finite dimensional k-algebra. As seen in Corollary II.3.13, every indecomposable A-module is the source, and the target, of an almost split morphism, and thus fits into an almost split sequence. The knowledge of all almost split sequences
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91682c24cd2993c38fae1eebddc6886e
https://doi.org/10.1007/978-3-030-35118-2_4
https://doi.org/10.1007/978-3-030-35118-2_4