Homology theory in the alternative set theory I. Algebraic preliminaries

@article{Guričan1991,
abstract = {The notion of free group is defined, a relatively wide collection of groups which enable infinite set summation (called 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.},
author = {Guričan, Jaroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {alternative set theory; commutative $\pi $-group; free group; inverse system of Sd-classes and Sd-maps; prolongation; set-definable; tensor product; total homomorphism; commutative -group; inverse system of -classes and -maps; tensor product; prolongation; homology theory; alternative set theory},
language = {eng},
number = {1},
pages = {75-93},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Homology theory in the alternative set theory I. Algebraic preliminaries},
url = {http://eudml.org/doc/247248},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Guričan, Jaroslav
TI - Homology theory in the alternative set theory I. Algebraic preliminaries
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 75
EP - 93
AB - The notion of free group is defined, a relatively wide collection of groups which enable infinite set summation (called 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.
LA - eng
KW - alternative set theory; commutative $\pi $-group; free group; inverse system of Sd-classes and Sd-maps; prolongation; set-definable; tensor product; total homomorphism; commutative -group; inverse system of -classes and -maps; tensor product; prolongation; homology theory; alternative set theory
UR - http://eudml.org/doc/247248
ER -