Research ArticleNo Access

Inverse semimodules

M. K. Sen

Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India

E-mail Address: senmk6@yahoo.com

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A. K. Bhuniya

Department of Mathematics, Visva-Bharati, Santiniketan – 731235, West Bengal, India

E-mail Address: anjankbhuniya@gmail.com

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, and

S. K. Maity

Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India

E-mail Address: skmpm@caluniv.ac.in

Corresponding author.

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https://doi.org/10.1142/S1793557121500224Cited by:2 (Source: Crossref)

Abstract

The author [S. M. Yusuf, Inverse semimodules, J. Natur. Sci. Math. 6 (1966) 111–117.] introduced inverse semimodules. In this paper, we introduce Clifford semimodules. The Clifford semimodules have been characterized here as a strong $R$ $R$ -semilattice of $R$ $R$ -modules. The congruences on inverse semimodules, specially, the $R$ $R$ -module congruences, have been characterized here completely.

Communicated by V. H. Fernandes

Keywords:

AMSC: 20M10, 16Y60, 20M20

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