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Obstruction theory in algebraic categories. II. (English) Zbl 0251.18017


MSC:

18G99 Homological algebra in category theory, derived categories and functors
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18G25 Relative homological algebra, projective classes (category-theoretic aspects)
Full Text: DOI

References:

[1] Barr, M., Cohomology and obstructions: commulative algebras, (Sem. Triples and Categorical Homology Theory. Sem. Triples and Categorical Homology Theory, Lecture Notes in Math., 80 (1969), Springer: Springer Berlin), 357-375 · Zbl 0172.02201
[2] Barr, M., What is the center?, (Rept. Mid-West Category Sem. III. Rept. Mid-West Category Sem. III, Lecture Notes in Math., 106 (1969), Springer: Springer Berlin), 1-12 · Zbl 0213.02903
[3] Barr, M.; Beck, J., Homology and standard constructions, (Sem. Triples and Categorical Homology Theory. Sem. Triples and Categorical Homology Theory, Lecture Notes in Math., 80 (1969), Springer: Springer Berlin), 245-335 · Zbl 0176.29003
[4] Beck, J., Triples, algebras, and cohomology, (Dissertation (1967), Columbia Univ: Columbia Univ New York) · Zbl 1022.18004
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[7] Harrison, D. K., Commulative algebras and cohomology, Trans. Am. Math. Soc., 98, 191-204 (1962) · Zbl 0106.25703
[8] Hochschild, G., Cohomology and representations of associative algebras, Duke Math. J., 14, 921-948 (1947) · Zbl 0029.34201
[9] MacLane, S., Homology (1963), Springer: Springer Berlin · Zbl 0133.26502
[10] Manes, E., A triple miscellany, (Dissertation (1967), Wesleyan Univ: Wesleyan Univ Middletown, Conn) · Zbl 0186.02901
[11] Manes, E., A triple theoretic construction of compact algebras, (Sem. Triples and Categorical Homology Theory. Sem. Triples and Categorical Homology Theory, Lecture Notes in Math., 80 (1969), Springer: Springer Berlin), 91-118 · Zbl 0186.02901
[12] Mitchell, B., Theory of categories (1965), Academic Press: Academic Press New York · Zbl 0136.00604
[13] Orzech, G., Obstruction theory in algebraic categories, I, J. Pure Appl. Algebra, 2, 287-314 (1972), (this issue) · Zbl 0251.18016
[14] Shukla, U., Cohomologie des algebres associatives, Ann. Sci. Ecole Norm. Sup., 78, 163-209 (1961) · Zbl 0228.18005
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