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GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

이정례|이성진
한국수학교육학회|2016.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제4호|pp. 385-387

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키워드

Hyers–Ulam stabilitynormed algebraBanach left A–modulegeneralizedmodule left (mn)–derivation
주제분류수학

초록

Fošner [4] defined a generalized module left (m; n)-derivation and proved the Hyers-Ulam stability of generalized module left (m; n)-derivations. In this note, we prove that every generalized module left (m; n)-derivation is trival if the algebra is unital and m ≠n.

Abstract

Fošner [4] defined a generalized module left (m; n)-derivation and proved the Hyers-Ulam stability of generalized module left (m; n)-derivations. In this note, we prove that every generalized module left (m; n)-derivation is trival if the algebra is unital and m ≠n.

참고문헌 (4)

  1. H.X. Cao, "Superstability for generalized module left deriva-tions and generalized module derivations on a Banach module", J. Inequal. Appl (2009)
  2. Y. Cui, "Module left (m; n)-derivations"
  3. A. Fosner, "On the generalized Hyers-Ulam stability of module left (m; n)-derivations", Aequationes Math, 84, pp.91~98 (2012)
  4. A. Fosner, "Hyers-Ulam-Rassias stability of generalized module left (m; n)-derivations", J. Inequal. Appl (2013)

관련 논문AI추천

MODULE LEFT (m, n)-DERIVATIONS신동윤, Yinhua Cui한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제1호ON THE STABILITY OF MODULE LEFT DERIVATIONS IN BANACH ALGEBRAS이양희, 정용수한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호Multi-derivations and some approximationsAbasalt Bodaghi, Hassan Feizabadi대한수학회 · 대한수학회논문집2022 · 제37권 제3호On the Generalized Hyers-Ulam-Rassias Stability of Higher Ring Derivations박규홍, 정용수경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제1호On the stability of bi-derivations in Banach algebras박규홍, 정용수대한수학회 · 대한수학회보2011 · 제48권 제5호APPROXIMATELY QUADRATIC DERIVATIONS AND GENERALIZED HOMOMORPHISMS박규홍, 정용수한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제2호

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