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Quotient Structure and Chain Conditions on Quasi Modules
Authors: Sandip Jana, Supriyo Mazumder
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Abstract
Quasi module is an axiomatisation of the hyperspace structure based on a module. We initiated this structure in our paper \cite{qmod-iso}. It is a generalisation of the module structure in the sense that every module can be embedded into a quasi module and every quasi module contains a module. The structure of quasi module is a conglomeration of a commutative semigroup with an external ring multiplication and a compatible partial order. In the entire structure partial order has an intrinsic effect and plays a key role in any development of the theory of quasi modules. In the present paper we have discussed the quotient structure of a quasi module by introducing a congruence suitably. Also we introduce the concept of chain conditions on quasi modules and prove some theorems related to chain conditions.Department of Pure Mathematics
University of Calcutta
35, Ballygunge Circular Road
Kolkata-700019, India
E-mail: ,
University of Calcutta
35, Ballygunge Circular Road
Kolkata-700019, India
E-mail: ,
Fulltext
– 0.17 Mb
Contents
- Quotient Structure and Chain Conditions on Quasi Modules
- On statistical convergence in generalized Lacunary sequence spaces
- Aspects of stability for multicriteria quadratic problems of Boolean programming
- Solution and full classification of generalized binary functional equations of the type (3;3;0)
- On the solvability of a class of boundary value problems for systems of the integral equations with power nonlinearity on the whole axis
- Isohedral tilings by 8-, 10- and 12-gons for hyperbolic translation group of genus two
- Some properties of left-transitive quasigroups
- General Method for Defining Finite Non-commutative Associative Algebras of Dimension m>1
- Closure operators in modules and adjoint functors, II
- Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma
- Corrigendum to "The multiplicative Zagreb co-indices on two graph operators" Bul. Acad. Științe Repub. Mold. Mat., 2016, no. 2(81), 18-26
