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Nasrabadi, Ebrahim, Ramezanpour, Mohammad, Aasaraai, Asadollah. (1400). (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras. , 32(4), 341-347. doi: 10.22059/jsciences.2021.295337.1007478
Ebrahim Nasrabadi; Mohammad Ramezanpour; Asadollah Aasaraai. "(2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras". , 32, 4, 1400, 341-347. doi: 10.22059/jsciences.2021.295337.1007478
Nasrabadi, Ebrahim, Ramezanpour, Mohammad, Aasaraai, Asadollah. (1400). '(2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras', , 32(4), pp. 341-347. doi: 10.22059/jsciences.2021.295337.1007478
Nasrabadi, Ebrahim, Ramezanpour, Mohammad, Aasaraai, Asadollah. (2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras. , 1400; 32(4): 341-347. doi: 10.22059/jsciences.2021.295337.1007478

(2n+1)-Weak Module Amenability of Triangular Banach Algebras on Inverse Semigroup Algebras

Journal of Sciences, Islamic Republic of Iran
مقاله 4، دوره 32، شماره 4، اسفند 2021، صفحه 341-347    اصل مقاله (294.66 K)
نوع مقاله: Original Paper
شناسه دیجیتال (DOI): 10.22059/jsciences.2021.295337.1007478
نویسندگان
Ebrahim Nasrabadi* 1؛ Mohammad Ramezanpour2؛ Asadollah Aasaraai3
1Department of Mathematic, Faculty of Mathematic Science and Statistic‎s, University of Birjand, Birjand, Islamic Republic of Iran
2School of Mathematics and Computer Science‎, ‎Damghan University‎, ‎Damghan‎, ‎ Islamic Republic of Iran
3Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Islamic Republic of Iran
چکیده
Let  be a commutative (not necessary unital) inverse semigroup with the set of idempotents  ‎then  is a commutative Banach‎ -module with canonical actions‎. ‎Recently‎, ‎it is shown that the triangular Banach algebra
‎
is -weakly -module amenable‎, ‎provided that  and  is unital or  satisfies condition  for some ‎. ‎In this paper‎, ‎we show that  is -weakly -module amenable‎, ‎without any additional conditions on  and , ‎if  is a certain quotient space of .
کلیدواژه‌ها
Inverse semigroup؛ Triangular Banach algebra؛ First module cohomology group؛ Weak module amenability, ("n)" -weak module amenability
مراجع
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  4. Bodaghi A, Amini M, Jabbari A. Permanent weak module amenability of semigroup algebras. Ann. Alexandru. Ioan. Cuza. Univ. Math. 2015;63(2): 287-96.
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  9. Amini M. Module amenability for semigroup algebras. Semigroup Forum. 2004;69: 243-54.
آمار
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