The translation operator for self-projective coalgebras

TL;DR

This paper explores the transpose operator in the context of self-projective and symmetric coalgebras, providing a new description using syzygy and Nakayama functors.

Contribution

It introduces a novel description of the transpose operator for specific coalgebras using syzygy and Nakayama functors.

Findings

Provides a new framework for the transpose operator

Connects transpose operator with syzygy and Nakayama functors

Enhances understanding of self-projective and symmetric coalgebras

Abstract

We describe the transpose operator for self-projective and symmetric coalgebras in terms of the syzygy and Nakayama functors.