Homology theory in the alternative set theory I. Algebraic preliminaries
Guričan, Jaroslav
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 75-93 / Harvested from Czech Digital Mathematics Library
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The notion of free group is defined, a relatively wide collection of groups which enable infinite set summation (called {\bf commutative $\pi$-group}), is introduced. Commutative $\pi$-groups are studied from the set-theoretical point of view and from the point of view of free groups. Commutativity of the operator which is a special kind of inverse limit and factorization, is proved. Tensor product is defined, commutativity of direct product (also a free group construction and tensor product) with the special kind of inverse limit is proved. Some important examples of tensor product are computed.

Publié le : 1991-01-01
Classification:  03E70,  03H05,  18G99,  20F99,  55N99 
@article{116944,
     author = {Jaroslav Guri\v can},
     title = {Homology theory in the alternative set theory I. Algebraic preliminaries},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {75-93},
     zbl = {0735.03032},
     mrnumber = {1118291},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116944}
}

Guričan, Jaroslav. Homology theory in the alternative set theory I. Algebraic preliminaries. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 75-93. http://gdmltest.u-ga.fr/item/116944/

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