Dergiler / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 3

SOME RESULTS ON SUBTRACTION ALGEBRAS

Sayfa
299–304
Yayın Tarihi
2022-10-18
DOI
—
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In this paper, some additional concepts relating to subtraction algebras, the so called subalgebra, bounded subtraction algebra and unionsof subtraction algebras, are introduced, and some properties are investigated.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, some additional concepts relating to subtraction algebras, the so called subalgebra, bounded subtraction algebra and unionsof subtraction algebras, are introduced, and some properties are investigated.
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Temel Bulgular & Veri:In this paper, some additional concepts relating to subtraction algebras, the so called subalgebra, bounded subtraction algebra and unionsof subtraction algebras, are introduced, and some properties are investigated.
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Sonuç & Katkı:In this paper, some additional concepts relating to subtraction algebras, the so called subalgebra, bounded subtraction algebra and unionsof subtraction algebras, are introduced, and some properties are investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Subtraction algebra · Subalgebra · Bounded subtraction algebra

Abstract

In this paper, some additional concepts relating to subtraction algebras, the so called subalgebra, bounded subtraction algebra and unionsof subtraction algebras, are introduced, and some properties are investigated.

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Bu Makaleye Atıf Yap

ÖZTÜRK, M. A., ÇEVEN, Y. (2022). SOME RESULTS ON SUBTRACTION ALGEBRAS. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 3, 299–304. https://ajindex.com/articles/530680

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Kaynakça (8)

  1. Abbott, J. C. Sets, Lattices and Boolean Algebras (Allyn and Bacon, Boston, 1969).
  2. Jun, Y. B., Kim, H. S. and Roh, E. H. Ideal theory of subtraction algebras, Sci. Math. Jpn. Online e-2004, 397–402, 2004.
  3. Jun, Y. B. and Kim, H. S. On ideals in subtraction algebras, Sci. Math. Jpn. Online e-2006, 1081–1086, 2006.
  4. Jun, Y. B., Kim, Y. H. and Oh, K. A. Subtraction algebras with additional conditions, Com- mun. Korean Math. Soc. 22 (1), 1–7, 2007.
  5. Jun, Y. B. and Kim, K. H. Prime and irreducible ideals in subtraction algebras, International Mathematical Forum 3 (10), 457–462, 2008.
  6. Lee, K. J., Jun, Y. B. and Kim, Y. H. Weak forms of subtraction algebras, Bull. Korean Math. Soc. 45, 437–444, 2008.
  7. Schein, B. M. Difference semigroups, Comm. in Algebra 20, 2153-2169, 1992.
  8. Zelinka, B. Subtraction semigroups, Math. Bohemica 120, 445–447, 1995.