Definition and Properties of Direct Sum Decomposition of Groups1
References
- [1] Grzegorz Bancerek. Cardinal numbers., 1():377–382, 1990.
- [2] Grzegorz Bancerek. König’s theorem., 1():589–593, 1990.
- [3] Grzegorz Bancerek. Monoids., 3():213–225, 1992.
- [4] Grzegorz Bancerek. The fundamental properties of natural numbers., 1():41–46, 1990.
- [5] Grzegorz Bancerek. The ordinal numbers., 1():91–96, 1990.
- [6] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1():107–114, 1990.
- [7] Grzegorz Bancerek and Andrzej Trybulec. Miscellaneous facts about functions., 5():485–492, 1996.
- [8] Nicolas Bourbaki.. Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, 1989.
- [9] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets., 1():529–536, 1990.
- [10] Czesław Byliński. Functions and their basic properties., 1(): 55–65, 1990.
- [11] Czesław Byliński. Functions from a set to a set., 1():153–164, 1990.
- [12] Czesław Byliński. Basic functions and operations on functions., 1():245–254, 1990.
- [13] Czesław Byliński. The modification of a function by a function and the iteration of the composition of a function., 1():521–527, 1990.
- [14] Czesław Byliński. Partial functions., 1():357–367, 1990.
- [15] Czesław Byliński. Some basic properties of sets., 1():47–53, 1990.
- [16] Agata Darmochwał. Finite sets., 1():165–167, 1990.
- [17] Artur Korniłowicz. The product of the families of the groups., 7():127–134, 1998.
- [18] Serge Lang.. Springer, 3rd edition, 2005.
- [19] Beata Madras. Product of family of universal algebras., 4(): 103–108, 1993.
- [20] Hiroyuki Okazaki, Kenichi Arai, and Yasunari Shidama. Normal subgroup of product of groups., 19():23–26, 2011. doi:10.2478/v10037-011-0004-7.
- [21] Hiroyuki Okazaki, Hiroshi Yamazaki, and Yasunari Shidama. Isomorphisms of direct products of finite commutative groups., 21():65–74, 2013. doi:10.2478/forma-2013-0007.
- [22] D. Robinson.. Springer New York, 2012.
- [23] J.J. Rotman.. Springer, 1995.
- [24] Andrzej Trybulec. Binary operations applied to functions., 1 ():329–334, 1990.
- [25] Michał J. Trybulec. Integers., 1():501–505, 1990.
- [26] Wojciech A. Trybulec. Non-contiguous substrings and one-to-one finite sequences., 1():569–573, 1990.
- [27] Wojciech A. Trybulec. Groups., 1():821–827, 1990.
- [28] Wojciech A. Trybulec. Subgroup and cosets of subgroups., 1(): 855–864, 1990.
- [29] Wojciech A. Trybulec. Lattice of subgroups of a group. Frattini subgroup., 2():41–47, 1991.
- [30] Wojciech A. Trybulec and Michał J. Trybulec. Homomorphisms and isomorphisms of groups. Quotient group., 2():573–578, 1991.
- [31] Zinaida Trybulec. Properties of subsets., 1():67–71, 1990.
- [32] Edmund Woronowicz. Relations and their basic properties., 1 ():73–83, 1990.
- [33] Katarzyna Zawadzka. Solvable groups., 5():145–147, 1996.
Language: English
Page range: 15 - 27
Submitted on: Dec 31, 2014
Published on: Mar 31, 2015
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Keywords:
Related subjects:
© 2015 Kazuhisa Nakasho, Hiroshi Yamazaki, Hiroyuki Okazaki, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.