Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Primary decomposition of general graded structures
Authors: Emil Ilić-Georgijević, Mirjana Vuković
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Abstract
In this paper we discuss the primary decomposition in the case of general graded modules -- moduloids, a generalization of already done work for general graded rings -- anneids. These structures, introduced by Marc Krasner are more general than graded structures of Bourbaki since they do not require the associativity nor the commutativity nor the unitarity in the set of grades. After proving the existence and uniqueness of primary decomposition of moduloids, we breafly turn our attention to Krull's Theorem and to the existence of the primary decomposition of Krasner--Vuković paragraded rings.Emil Ilić-Georgijević
University of Sarajevo
Faculty of Civil Engineering
Patriotske lige 30, 71000 Sarajevo
E-mail: Mirjana Vuković
Academy of Sciences and Arts of Bosnia and Herzegovina
Bistrik 7, 71000 Sarajevo
E-mail:
University of Sarajevo
Faculty of Civil Engineering
Patriotske lige 30, 71000 Sarajevo
E-mail: Mirjana Vuković
Academy of Sciences and Arts of Bosnia and Herzegovina
Bistrik 7, 71000 Sarajevo
E-mail:
Fulltext
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Contents
- On fixed point subalgebras of some local algebras over a field
- Stability radius bounds in multicriteria Markowitz portfolio problem with venturesome investor criteria
- lp(R)-equivalence of topological spaces and topological modules
- One subfamily of cubic systems with invariant lines of total multiplicity eight and with two distinct real infinite singularities
- Primary decomposition of general graded structures
- On the distinction between one-dimensional Euclidean and hyperbolic spaces
- On the number of ring topologies on countable rings
- Determining the Optimal Evolution Time for Markov Processes with Final Sequence of States
